On the Convergence of Hypergeometric to Binomial Distributions
نویسندگان
چکیده
This study presents a measure-theoretic approach to estimate the upper bound on total variation of difference between hypergeometric and binomial distributions using Kullback-Leibler information divergence. The distribution can be used find probabilities associated with experiments. But if sample size is large relative population size, experiment may not binomial, good choice experiment. probability appropriate model when compared size. An for in distance derived only sizes. demonstrate how uniformly converges increases
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The optimal constant over square root of n error bound in the central limit theorem for distribution functions of sums of independent symmetric Bernoulli random variables is 1/ √ 2πn.
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ژورنال
عنوان ژورنال: Computer and Information Science
سال: 2023
ISSN: ['1913-8997', '1913-8989']
DOI: https://doi.org/10.5539/cis.v16n3p15