A Note on A New Improved Poisson Distribution and Its Approximations
Abstract
This work, determine a new improved Poisson distribution with mean ? = ?? ? from Polya distribution with parameters ?, ?, ? and ? where ?, ?, ? ??? ? are non-negative integer. It was found that the new improved Poisson approximates binomial distribution accurately more than the normal Poisson for ? so large and ? ?+? sufficient small for ? ? {0,1 … ?} while the new improved Poisson approximates Polya distribution for a certain random variable? ? ? {0.1}, provided that ? is not large enough. This implies the new improved Poisson distribution is not sufficient to enough to approximate Polya distribution
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