| 单词 | Negative Binomial Distribution | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 释义 | Negative Binomial DistributionAlso known as the Pascal Distribution and Pólya Distribution.  The probability of 
 
 The Characteristic Function is given by 
 
 
 The Moments about zero 
 (Beyer 1987, p. 487, apparently gives the Mean incorrectly.) The Moments about the mean are 
 The Mean, Variance, Skewness and Kurtosis are then 
 which can also be written 
 The first Cumulant is 
 
 
 Beyer, W. H.  CRC Standard Mathematical Tables, 28th ed.  Boca Raton, FL: CRC Press, p. 533, 1987. Spiegel, M. R.  Theory and Problems of Probability and Statistics.  New York: McGraw-Hill, p. 118, 1992.  | 
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