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Zbl 0498.62015
Morris, Carl N.
Natural exponential families with quadratic variance functions. (English)
[J] Ann. Stat. 10, 65-80 (1982). ISSN 0090-5364

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MSC 2000:: *62E10 Structure theory of statistical distributions
60E05 General theory of probability distributions
62E15 Exact distribution theory in statistics
60E07 Infinitely divisible distributions
60F10 Large deviations

Keywords: natural exponential families; quadratic variance functions; normal distribution; Poisson distribution; gamma distribution; exponential distribution; binomial distribution; negative binomial distribution; geometric distribution; hyperbolic secant distribution; orthogonal polynomials; moments; cumulants; limits in distribution

Cited in: Zbl 1064.62025 Zbl 1002.62014 Zbl 0893.62005 Zbl 0795.62048 Zbl 0983.62501 Zbl 0676.62009 Zbl 0613.60008 Zbl 0591.62012 Zbl 0521.62014

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