Morris, Carl N. Natural exponential families with quadratic variance functions. (English) Zbl 0498.62015 Ann. Stat. 10, 65-80 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 ReviewsCited in 232 Documents MSC: 62E10 Characterization and structure theory of statistical distributions 60E05 Probability distributions: general theory 62E15 Exact distribution theory in statistics 60E07 Infinitely divisible distributions; stable 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 PDFBibTeX XMLCite \textit{C. N. Morris}, Ann. Stat. 10, 65--80 (1982; Zbl 0498.62015) Full Text: DOI