On the Negative Binomial Approximation to the Beta-Negative Binomial Distribution
K. Teerapabolarn
Abstract
K. Teerapabolarn
Abstract
The w-function and the Stein identity are adapted and applied to determine an upper bound for the total variation distance between betanegative binomial and negative binomial distributions. Mathematics Subject Classification: Primary 60F05
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The w-function and the Stein identity are adapted and applied to determine an upper bound for the total variation distance between betanegative binomial and negative binomial distributions. Mathematics Subject Classification: Primary 60F05
Key concepts: Negative binomial distribution, Negative multinomial distribution, Beta negative binomial distribution, Mathematics, Beta-binomial distribution, Multinomial distribution, Binomial distribution, Binomial proportion confidence interval