Power Series (Discrete) Distribution

Catherine Scipione Forbes, Merran Evans, Nicholas Anthony John Hastings, Brian Peacock · 2010

Power series distributions (PSDs) can be extended to the multivariate case. Factorial series distributions are the analogue of power series distributions, for a discrete parameter. Generalized hypergeometric (series) distributions are a subclass of power series distributions. This chapter discusses variate relationships including binomial variate, Poisson variate, negative binomial variate and logarithmic series variate, and presents the parameter estimation for PSDs. Controlled Vocabulary Terms binomial distribution; logarithmic distribution; Poisson distribution

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