New representations of the noncentral chi-square density and cumulative

DOI10.1080/03610928408828851zbMath0562.62012OpenAlexW1991613785MaRDI QIDQ3675315

Y.-M. Chou, Kathleen H. Arthur, D. B. Owen, Rebecca B. Rosenstein

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/03610928408828851

zbMATH Keywords

density functionmoment generating functionnew representationsnoncentral chi-square cumulative distributionnormal integrals

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Statistical distribution theory (62E99)

Related Items (6)

New representations for the doubly noncentral f-distribution and derived distribution ⋮ On the Computation of Non-Central Chi-Square Distribution Function ⋮ Refined normal approximations for the central and noncentral chi-square distributions and some applications ⋮ Bounds for non-central chi-square distributions having unobservable random non-centrality parameters ⋮ A Unified Way to Represent and Compute the Cumulative Distribution Function for Noncentralt,F, and χ² ⋮ Incomplete Exponential and Hypergeometric Functions with Applications to the Non Central χ²-Distribution

Cites Work

• On the non-central chi-square distribution
• Approximations to the non-central chi-square distribution
• Unnamed Item

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