ãã¢ã½ã³åå¸ãããããLast modified: Aug 30, 2004 ãã¢ã½ã³åå¸ã®ç¢ºçé¢æ°ã¯æ¬¡å¼ã§è¡¨ãããã \[ f(x) = \frac{e^{-\lambda}\ \lambda^{x}} {x!},\ \lambda \gt 0,\ x = 0, 1, \dots \tag{1} \] ãã¢ã½ã³åå¸ã®æ¦å½¢ã¯å³ 1 ã®ããã«ãªããï¼$\lambda$ ã大ãããªãã¨æ£è¦åå¸ã«è¿ã¥ãï¼ã¢ãã¡ã¼ã·ã§ã³ï¼ã¾ãã¯ï¼ã ã¼ãã¼ï¼ã äºé åå¸ã«ããã¦ï¼ç起確ç $p$ ã極ãã¦å°ããå ´åãããããã®ã¨ãï¼$n$ ãååã«å¤§ããã¦ã $n\ p$ ã¯æéãªãã®ã¨ãªããããã§ï¼$n\ p = \lambda$ ã¨ããï¼$n \rightarrow \infty$ï¼$p \rightarrow 0$ ã¨ããã¨ãï¼äºé åå¸ã®ï¼ 1 ï¼å¼ã®ç¢ºçé¢æ° $f ( x )$ ãï¼$\lambda$ ã¨
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