EXACT AND APPROXIMATED RELATIONS BETWEEN NEGATIVE HYPERGEOMETRIC AND NEGATIVE BINOMIAL PROBABILITIES

DOI10.1081/STA-100002269zbMath0993.62009MaRDI QIDQ4540637

Begoña Salamanca-Miño, Fernando López-Blázquez

Publication date: 28 July 2002

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

orthogonal expansionsapproximations of distributions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Approximations to statistical distributions (nonasymptotic) (62E17) Applications of hypergeometric functions (33C90)

Related Items (2)

Order-Preserving Symmetric Encryption ⋮ An improved negative binomial approximation with high accuracy to the negative hypergeometric probability for order-preserving encryption

Cites Work

• The generalized hypergeometric family of distributions
• ON ASYMPTOTIC FORMULAE FOR THE HYPERGEOMETRIC SERIES: I. HYPERGEOMETRIC SERIES IN WHICH THE FOURTH ELEMENT, x, IS UNITY
• Approximations to distribution functions which are hypergeometric series
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