The Distribution of a Sum of Independent Binomial Random Variables

The distribution of a sum S of independent binomial random variables, each with different success probabilities, is discussed. An efficient algorithm is given to calculate the exact distribution by convolution. Two approximations are examined, one based on a method of Kolmogorov, and another based o...

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Veröffentlicht in:	Methodology and computing in applied probability 2017-06, Vol.19 (2), p.557-571
Hauptverfasser:	Butler, Ken, Stephens, Michael A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Approximation Binomial distribution Binomials Business and Management Convolution Economics Electrical Engineering Independent variables Life Sciences Mathematics and Statistics Probabilistic methods Random variables Statistics
Online-Zugang:	Volltext
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