In probability theory, the stability of a random variable is the property that a linear combination of two independent copies of the variable has the same distribution, up to location and scale parameters. The distributions of random variables having this property are said to be "stable distributions". Results available in probability theory show that all possible distributions having this property are members of a four-parameter family of distributions. The article on the stable distribution describes this family together with some of the properties of these distributions.
The importance in probability theory of "stability" and of the stable family of probability distributions is that they are "attractors" for properly normed sums of independent and identically distributed random variables.
There are several basic definitions for what is meant by stability. Some are based on summations of random variables and others on properties of characteristic functions.
In wine tasting, a wine is considered "clear" when there are no visible particles suspended in the liquid and, especially in the case of white wines, when there is some degree of transparency. A wine with too much suspended matter will appear cloudy and dull, even if its aroma and flavor are unaffected; wines therefore generally undergo some kind of clarification.
Before fermentation, pectin-splitting enzymes and, for white wine, fining agents such as bentonite may be added to the must in order to promote the agglomeration and settling of colloids later. Pectins are structural molecules in the cell walls of fruits which have the important function of 'gumming' plant cells together. The pectin content of grapes increases steadily throughout ripening, reaching levels of about 1 g/l, although it varies by varietal and pre-fermentation handling processes. Large pectin molecules can affect the amount of juice yielded at pressing, ease of filtration and clarification, and extraction of tannins. Grapes contain natural pectolytic enzymes responsible for softening the grape berries during ripening, but these are not active under wine-making conditions (due to pH level, SO2, and alcohol.) Therefore, fungal pectolytic enzymes are often added to white must to break up pectins, decrease the viscosity of the juice, and speed up settling. In red musts, this increases color and tannin extraction.
Ecological stability can refer to types of stability in a continuum ranging from regeneration via resilience (returning quickly to a previous state), to constancy to persistence. The precise definition depends on the ecosystem in question, the variable or variables of interest, and the overall context. In the context of conservation ecology, stable populations are often defined as ones that do not go extinct. Researchers applying mathematical models from system dynamics usually use Lyapunov stability.
Types of ecological stability
Local stability indicates that a system is stable over small short-lived disturbances, while global stability indicates a system highly resistant to change in species composition and/or food web dynamics.
Constancy
Observational studies of ecosystems use constancy to describe living systems that can remain unchanged.
Resistance and inertia (persistence)
Resistance and inertia deal with a system's inherent response to some perturbation.
A perturbation is any externally imposed change in conditions, usually happening in a short time period. Resistance is a measure of how little the variable of interest changes in response to external pressures. Inertia (or persistence) implies that the living system is able to resist external fluctuations. In the context of changing ecosystems in post-glacial North America, E.C. Pielou remarked at the outset of her overview,
Title: Stable probability distributions
Speaker: Venkat Abhignan, National Institute of Technology, Tiruchirappalli 620015, Tamilnadu, India.
Event: Lectures Series in Theoretical Physics
Venue: Sphics Science Center, Thalassery, Kerala, India.
Date: 2022 Dec 03
published: 03 Dec 2022
Tutorial: 2D Complex probability - 2D Slope Stability with PLAXIS LE (14/14)
"This tutorial provides an overview of a model which incorporates aspects of probabilistic analysis.
This is video 14/14 of the training: 2D Stability Analysis using PLAXIS LE."
published: 07 Mar 2022
Stable Marriage Problem - Numberphile
Discuss on Reddit: http://redd.it/2fgu97
More links & stuff in full description below ↓↓↓
Featuring Dr Emily Riehl. Continues with the more mathematical bit at: http://youtu.be/LtTV6rIxhdo
The Gale/Shapley paper: http://bit.ly/StableMarriage
Animation and artwork by Pete McPartlan.
(But the bad bits of animation were by Brady)
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
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Brady's ...
published: 04 Sep 2014
Lecture 10.2: p. Traffic aggregates, Poisson stability — [Probability | Santosh S. Venkatesh]
In which the Poisson distribution is shown to arise naturally in queuing theory and the modelling of traffic aggregates because of a characteristic stability property. Lectures 10.2: p – u form a "dangerous bend" segment of six lectures intended for the viewer who has the time and inclination for a digression into wonder — and a preview of the advanced theory of stochastic processes. These lectures can be skipped without loss of continuity by a viewer short on time or patience who can proceed directly to Lecture 10.2: v for a summary of sub-Tableau 10.2.
published: 11 Oct 2021
STATISTICS & PROBABILITY | CHRISTY P. LAIDA | ABM STABILITY
published: 02 May 2021
Probability
Probabilistic analysis helps to quantify risk and promotes greater understanding of problems. It increases the chances of success through more robust design of excavations, stabilization measures and improved monitoring decisions.
This is presentation we are discussing Point Estimate Method of probability. It is one of the adopted methods for slope stability analysis and we will discuss this with an example.
For information please visit our website - www.geotechnicaldesigns.com.au
Contact us on [email protected]
published: 07 Aug 2021
4.1: Expected Value of Random Variables | Exercise Solution of Probability & Statistics by Walpole
This is the start of a new chapter of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole". In this video, I solve exercise problem 4.1 to find the expected value or average value of a random variable. Also, the discussion regarding the difference between probabilistic expectation and mean values has been carried out.
4.1 The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in Exercise 3.13 on page 92 as
x : 0 | 1 | 2 | 3 | 4
f(x): 0.41 | 0.37 | 0.16 | 0.05 | 0.01
Find the average number of imperfections per 10 meters of this fabric
Thank you for visiting the channel. This channel is all about the latest trends and concepts related t...
published: 16 May 2024
Stock Price Probability with Stable Distributions
http://demonstrations.wolfram.com/StockPriceProbabilityWithStableDistributions/
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration calculates the probability that the random price of the exchange-traded fund, SPY, will be higher or lower after one month than a particular future possibility.
Contributed by: Bob Rimmer
published: 10 Jul 2009
Better Slope Stability Analysis with PLAXIS LE: Probability | Session 4
Learn and apply slope stability analysis with PLAXIS LE
This workshop provides a basic and practical overview of the PLAXIS LE 3D software. Basic tutorials are presented. The focus of the presentations is related to the creation of models for application in the mining industry.
Attendees can download the PLAXIS LE software and receive a complimentary one-time 7-day trial of PLAXIS LE for use during the workshop. Please download the software 1-2 days in advance and i) download all distribution models, and ii) open and solve a model under the "Slopes 3D" project to ensure that the licensing allows model analysis. Download here: https://softwaredownloads.bentley.com/en/
SESSION 4 - PROBABILITY
- Probability overview
- Demo: Embankment
- Demo: Open pit simple
- Demo: Open pit complex
Title: Stable probability distributions
Speaker: Venkat Abhignan, National Institute of Technology, Tiruchirappalli 620015, Tamilnadu, India.
Event: Lectures Se...
Title: Stable probability distributions
Speaker: Venkat Abhignan, National Institute of Technology, Tiruchirappalli 620015, Tamilnadu, India.
Event: Lectures Series in Theoretical Physics
Venue: Sphics Science Center, Thalassery, Kerala, India.
Date: 2022 Dec 03
Title: Stable probability distributions
Speaker: Venkat Abhignan, National Institute of Technology, Tiruchirappalli 620015, Tamilnadu, India.
Event: Lectures Series in Theoretical Physics
Venue: Sphics Science Center, Thalassery, Kerala, India.
Date: 2022 Dec 03
"This tutorial provides an overview of a model which incorporates aspects of probabilistic analysis.
This is video 14/14 of the training: 2D Stability Analysis...
"This tutorial provides an overview of a model which incorporates aspects of probabilistic analysis.
This is video 14/14 of the training: 2D Stability Analysis using PLAXIS LE."
"This tutorial provides an overview of a model which incorporates aspects of probabilistic analysis.
This is video 14/14 of the training: 2D Stability Analysis using PLAXIS LE."
Discuss on Reddit: http://redd.it/2fgu97
More links & stuff in full description below ↓↓↓
Featuring Dr Emily Riehl. Continues with the more mathematical bit at...
Discuss on Reddit: http://redd.it/2fgu97
More links & stuff in full description below ↓↓↓
Featuring Dr Emily Riehl. Continues with the more mathematical bit at: http://youtu.be/LtTV6rIxhdo
The Gale/Shapley paper: http://bit.ly/StableMarriage
Animation and artwork by Pete McPartlan.
(But the bad bits of animation were by Brady)
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
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Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
Discuss on Reddit: http://redd.it/2fgu97
More links & stuff in full description below ↓↓↓
Featuring Dr Emily Riehl. Continues with the more mathematical bit at: http://youtu.be/LtTV6rIxhdo
The Gale/Shapley paper: http://bit.ly/StableMarriage
Animation and artwork by Pete McPartlan.
(But the bad bits of animation were by Brady)
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
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In which the Poisson distribution is shown to arise naturally in queuing theory and the modelling of traffic aggregates because of a characteristic stability pr...
In which the Poisson distribution is shown to arise naturally in queuing theory and the modelling of traffic aggregates because of a characteristic stability property. Lectures 10.2: p – u form a "dangerous bend" segment of six lectures intended for the viewer who has the time and inclination for a digression into wonder — and a preview of the advanced theory of stochastic processes. These lectures can be skipped without loss of continuity by a viewer short on time or patience who can proceed directly to Lecture 10.2: v for a summary of sub-Tableau 10.2.
In which the Poisson distribution is shown to arise naturally in queuing theory and the modelling of traffic aggregates because of a characteristic stability property. Lectures 10.2: p – u form a "dangerous bend" segment of six lectures intended for the viewer who has the time and inclination for a digression into wonder — and a preview of the advanced theory of stochastic processes. These lectures can be skipped without loss of continuity by a viewer short on time or patience who can proceed directly to Lecture 10.2: v for a summary of sub-Tableau 10.2.
Probabilistic analysis helps to quantify risk and promotes greater understanding of problems. It increases the chances of success through more robust design of ...
Probabilistic analysis helps to quantify risk and promotes greater understanding of problems. It increases the chances of success through more robust design of excavations, stabilization measures and improved monitoring decisions.
This is presentation we are discussing Point Estimate Method of probability. It is one of the adopted methods for slope stability analysis and we will discuss this with an example.
For information please visit our website - www.geotechnicaldesigns.com.au
Contact us on [email protected]
Probabilistic analysis helps to quantify risk and promotes greater understanding of problems. It increases the chances of success through more robust design of excavations, stabilization measures and improved monitoring decisions.
This is presentation we are discussing Point Estimate Method of probability. It is one of the adopted methods for slope stability analysis and we will discuss this with an example.
For information please visit our website - www.geotechnicaldesigns.com.au
Contact us on [email protected]
This is the start of a new chapter of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole". In this video, I solve exercise pr...
This is the start of a new chapter of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole". In this video, I solve exercise problem 4.1 to find the expected value or average value of a random variable. Also, the discussion regarding the difference between probabilistic expectation and mean values has been carried out.
4.1 The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in Exercise 3.13 on page 92 as
x : 0 | 1 | 2 | 3 | 4
f(x): 0.41 | 0.37 | 0.16 | 0.05 | 0.01
Find the average number of imperfections per 10 meters of this fabric
Thank you for visiting the channel. This channel is all about the latest trends and concepts related to the problems a student encounter while studying Electrical and Computer Engineering.
We are specialized in covering the material related to Electrical and Electronics Circuit Analysis, Artificial Intelligence, Probability and Statistics, Data Science, Machine Learning, and Deep Learning, to name a few.
#basicprobability
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#randomvariables
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#problemsolutions
#meanvaluecalculation
#mathematicalexpectation
#expectedvalue
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Happy Learning :-)
This is the start of a new chapter of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole". In this video, I solve exercise problem 4.1 to find the expected value or average value of a random variable. Also, the discussion regarding the difference between probabilistic expectation and mean values has been carried out.
4.1 The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in Exercise 3.13 on page 92 as
x : 0 | 1 | 2 | 3 | 4
f(x): 0.41 | 0.37 | 0.16 | 0.05 | 0.01
Find the average number of imperfections per 10 meters of this fabric
Thank you for visiting the channel. This channel is all about the latest trends and concepts related to the problems a student encounter while studying Electrical and Computer Engineering.
We are specialized in covering the material related to Electrical and Electronics Circuit Analysis, Artificial Intelligence, Probability and Statistics, Data Science, Machine Learning, and Deep Learning, to name a few.
#basicprobability
#probabilityandstatistics
#randomvariables
#walpole
#probabilitydistributions
#problemsolutions
#meanvaluecalculation
#mathematicalexpectation
#expectedvalue
Connect with me by subscribing to:
https://www.youtube.com/channel/UCVWaC4BsaESbmijsPMe7QaA/featured
Happy Learning :-)
http://demonstrations.wolfram.com/StockPriceProbabilityWithStableDistributions/
The Wolfram Demonstrations Project contains thousands of free interactive visua...
http://demonstrations.wolfram.com/StockPriceProbabilityWithStableDistributions/
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration calculates the probability that the random price of the exchange-traded fund, SPY, will be higher or lower after one month than a particular future possibility.
Contributed by: Bob Rimmer
http://demonstrations.wolfram.com/StockPriceProbabilityWithStableDistributions/
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration calculates the probability that the random price of the exchange-traded fund, SPY, will be higher or lower after one month than a particular future possibility.
Contributed by: Bob Rimmer
Learn and apply slope stability analysis with PLAXIS LE
This workshop provides a basic and practical overview of the PLAXIS LE 3D software. Basic tutorials ar...
Learn and apply slope stability analysis with PLAXIS LE
This workshop provides a basic and practical overview of the PLAXIS LE 3D software. Basic tutorials are presented. The focus of the presentations is related to the creation of models for application in the mining industry.
Attendees can download the PLAXIS LE software and receive a complimentary one-time 7-day trial of PLAXIS LE for use during the workshop. Please download the software 1-2 days in advance and i) download all distribution models, and ii) open and solve a model under the "Slopes 3D" project to ensure that the licensing allows model analysis. Download here: https://softwaredownloads.bentley.com/en/
SESSION 4 - PROBABILITY
- Probability overview
- Demo: Embankment
- Demo: Open pit simple
- Demo: Open pit complex
Learn and apply slope stability analysis with PLAXIS LE
This workshop provides a basic and practical overview of the PLAXIS LE 3D software. Basic tutorials are presented. The focus of the presentations is related to the creation of models for application in the mining industry.
Attendees can download the PLAXIS LE software and receive a complimentary one-time 7-day trial of PLAXIS LE for use during the workshop. Please download the software 1-2 days in advance and i) download all distribution models, and ii) open and solve a model under the "Slopes 3D" project to ensure that the licensing allows model analysis. Download here: https://softwaredownloads.bentley.com/en/
SESSION 4 - PROBABILITY
- Probability overview
- Demo: Embankment
- Demo: Open pit simple
- Demo: Open pit complex
Title: Stable probability distributions
Speaker: Venkat Abhignan, National Institute of Technology, Tiruchirappalli 620015, Tamilnadu, India.
Event: Lectures Series in Theoretical Physics
Venue: Sphics Science Center, Thalassery, Kerala, India.
Date: 2022 Dec 03
"This tutorial provides an overview of a model which incorporates aspects of probabilistic analysis.
This is video 14/14 of the training: 2D Stability Analysis using PLAXIS LE."
Discuss on Reddit: http://redd.it/2fgu97
More links & stuff in full description below ↓↓↓
Featuring Dr Emily Riehl. Continues with the more mathematical bit at: http://youtu.be/LtTV6rIxhdo
The Gale/Shapley paper: http://bit.ly/StableMarriage
Animation and artwork by Pete McPartlan.
(But the bad bits of animation were by Brady)
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
In which the Poisson distribution is shown to arise naturally in queuing theory and the modelling of traffic aggregates because of a characteristic stability property. Lectures 10.2: p – u form a "dangerous bend" segment of six lectures intended for the viewer who has the time and inclination for a digression into wonder — and a preview of the advanced theory of stochastic processes. These lectures can be skipped without loss of continuity by a viewer short on time or patience who can proceed directly to Lecture 10.2: v for a summary of sub-Tableau 10.2.
Probabilistic analysis helps to quantify risk and promotes greater understanding of problems. It increases the chances of success through more robust design of excavations, stabilization measures and improved monitoring decisions.
This is presentation we are discussing Point Estimate Method of probability. It is one of the adopted methods for slope stability analysis and we will discuss this with an example.
For information please visit our website - www.geotechnicaldesigns.com.au
Contact us on [email protected]
This is the start of a new chapter of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole". In this video, I solve exercise problem 4.1 to find the expected value or average value of a random variable. Also, the discussion regarding the difference between probabilistic expectation and mean values has been carried out.
4.1 The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in Exercise 3.13 on page 92 as
x : 0 | 1 | 2 | 3 | 4
f(x): 0.41 | 0.37 | 0.16 | 0.05 | 0.01
Find the average number of imperfections per 10 meters of this fabric
Thank you for visiting the channel. This channel is all about the latest trends and concepts related to the problems a student encounter while studying Electrical and Computer Engineering.
We are specialized in covering the material related to Electrical and Electronics Circuit Analysis, Artificial Intelligence, Probability and Statistics, Data Science, Machine Learning, and Deep Learning, to name a few.
#basicprobability
#probabilityandstatistics
#randomvariables
#walpole
#probabilitydistributions
#problemsolutions
#meanvaluecalculation
#mathematicalexpectation
#expectedvalue
Connect with me by subscribing to:
https://www.youtube.com/channel/UCVWaC4BsaESbmijsPMe7QaA/featured
Happy Learning :-)
http://demonstrations.wolfram.com/StockPriceProbabilityWithStableDistributions/
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration calculates the probability that the random price of the exchange-traded fund, SPY, will be higher or lower after one month than a particular future possibility.
Contributed by: Bob Rimmer
Learn and apply slope stability analysis with PLAXIS LE
This workshop provides a basic and practical overview of the PLAXIS LE 3D software. Basic tutorials are presented. The focus of the presentations is related to the creation of models for application in the mining industry.
Attendees can download the PLAXIS LE software and receive a complimentary one-time 7-day trial of PLAXIS LE for use during the workshop. Please download the software 1-2 days in advance and i) download all distribution models, and ii) open and solve a model under the "Slopes 3D" project to ensure that the licensing allows model analysis. Download here: https://softwaredownloads.bentley.com/en/
SESSION 4 - PROBABILITY
- Probability overview
- Demo: Embankment
- Demo: Open pit simple
- Demo: Open pit complex
In probability theory, the stability of a random variable is the property that a linear combination of two independent copies of the variable has the same distribution, up to location and scale parameters. The distributions of random variables having this property are said to be "stable distributions". Results available in probability theory show that all possible distributions having this property are members of a four-parameter family of distributions. The article on the stable distribution describes this family together with some of the properties of these distributions.
The importance in probability theory of "stability" and of the stable family of probability distributions is that they are "attractors" for properly normed sums of independent and identically distributed random variables.
There are several basic definitions for what is meant by stability. Some are based on summations of random variables and others on properties of characteristic functions.
Yet, no matter how much I sent, my parents couldn’t achieve financial stability ... And if she had never reached stability, I would probably still be sending her money now.
By Alaina Bookman . [email protected]... Many children also have been injured in shootings ... “One of the things I would stress after a trauma is that what children and teens probably need the most is a sense of stability and safety and structure ... .
“If you kind of said 15 years for very useful quantum computers, that would probably be on the early side. If you said 30, it’s probably on the late side,” Huang said in a Q&A session during Nvidia’s analyst day event.
All zodiac signs have their own characteristics and traits which define someone’s personality ...ARIES (Mar 21-Apr 20) ... LoveFocus ...Lucky Number. 9. LuckyColour ... 8 ... 1 ... Financial growth is probable, but staying consistent with your efforts is key to stability.
And so did various others this side of Tony Pulis, which probably means something other than the manager is preventing them climbing out of the Championship’s doldrums. With the stability of their ...
“You know as a hospital clinician that while you’ve gotten them stabilized, you’re going to send them home probably without enough true skills to mend those gaps,” said Pattie Collins-Jackson, a longtime clinician working in northeast Oklahoma.
State officials said the campus would offer a six-bed program offering short-term “stabilization” of youths in crisis, probably for stays of up to two weeks before a move to other DCF facilities, and ...
The city has more vacant corporate buildings, and small businesses often struggle to stay afloat ... Pre-pandemic practices ... Companies strike balance ... Hybrid challenges ... I would argue we're probably one of the stabilizing factors.” ... .
Saturn in the 2nd house will make you more cautious about your stability before committing to a relationship.Your attitude will change after Saturn transits to the 3rd house of your sign in April.
Dating during this period will entail emotional responsibility, and you will probably search for a relationship that provides stability, commitment and emotional satisfaction.Starting in April, your ...
... 2's year of modest stability is 2025. Although regular revenue sources are probably going to be present, unanticipated costs—especially those related to family demands or house renovations—may surface.
Mazzulla said getting Holiday “back healthy was big-time,” even though the veteran guard admitted his injury hadn’t completely healed and “probably” will linger.
Those ETF approvals could stabilize Solana's price while bringing in more retail and institutional investors. They would also probably mark its transition from a smaller altcoin to a "blue chip" ...
I think that’s definitely a part of the story, but probably not all of it ... Personally, I suspect these sources probably underestimate TFP growth (for all countries, not just for China) ... Macroeconomic stabilization.