Approximations of the binomial distribution
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20.
منابع مشابه
Uniform asymptotics of Poisson approximation to the Poisson-binomial distribution
New uniform asymptotic approximations with error bounds are derived for a generalized total variation distance of Poisson approximations to the Poisson-binomial distribution. The method of proof is also applicable to other Poisson approximation problems. MSC 2000 Subject Classifications: Primary 62E17; secondary 60C05.
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The beta-binomial distribution is resulted when the probability of success per trial in the binomial distribution varies in successive trials and the mixing distribution is from the beta family. For experiments with binary outcomes, often it may happen that observations exhibit some extra binomial variation and occur in clusters. In such experiments the beta-binomial distribution can generally ...
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For a Markov chain X = {Xi, i = 1, 2, . . . , n} with the state space {0, 1}, the random variable S := ∑n i=1 Xi is said to follow a Markov binomial distribution. The exact distribution of S, denoted as LS, is very computationally intensive for large n [see Gabriel (1959) and Bhat and Lal (1988)] and this paper concerns suitable approximate distributions for LS when X is stationary. We conclude...
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