Compound Poisson law generalized by negative binomial distributionстатья
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Аннотация:For the compound Poisson law generalized by the negative binomial distribution we derive the
explicit representation of the probability function, the finite-difference recurrence, and expressions
for the derivatives with respect to all parameters. Explicit representations of ordinary and
factorial cumulants to sixth order are given and asymptotic normality of the distribution is
proved. The distribution functions are constructed and analyzed for the most typical parameter
values. Used to solve direct and inverse problems by moment methods.