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- W2332527977 abstract "We derive and characterize a new mixed-risk distribution of the total number of Bernoulli outcomes (e.g, failures) for non-homogenous dichotomous events sampled from J non-identical binomial populations with different rates. The resultant distribution can be significantly non-binomial and non-normal, with corresponding consequences on probability calculations, control chart performance, and so on. This random variable mathematically always is under-dispersed compared to its binomial counterpart (with its parameter P equal to a weighted average of the J p i rates). Modified Kullback-Leibler, total absolute deviation, and variance ratio statistics are used to investigate the inaccuracy of binomial and normal approximations on tail probabilities and expected run lengths." @default.
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- W2332527977 date "2004-01-01" @default.
- W2332527977 modified "2023-09-24" @default.
- W2332527977 title "A Useful J-Binomial Type Distribution for Non-homogeneous Dichotomous Events" @default.
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