A Characterization of One-Parameter Exponential Family of Distributions
P. N. Jani
Abstract
P. N. Jani
Abstract
A characterization through moments given by Khatri (1959) for power series distributions (p. s. d.) and by Ahsanullah (1992) for modified power series distributions (m.p.s.d.) bas been extended for the wider class viz one-parameter exponential family of distributions.
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A characterization through moments given by Khatri (1959) for power series distributions (p. s. d.) and by Ahsanullah (1992) for modified power series distributions (m.p.s.d.) bas been extended for the wider class viz one-parameter exponential family of distributions.
Key concepts: Exponential family, Characterization (materials science), Natural exponential family, Mathematics, Exponential function, Series (stratigraphy), Class (philosophy), Gamma distribution