Asymptotic Inversion of Incomplete Gamma Functions

DOI10.2307/2153214zbMath0759.33001OpenAlexW4213156659MaRDI QIDQ4024688

Nico M. Temme

Publication date: 10 February 1993

Full work available at URL: https://doi.org/10.2307/2153214

zbMATH Keywords

incomplete gamma functionsasymptotic inversion

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Probabilistic methods, stochastic differential equations (65C99)

Related Items (8)

Gamma-distribution order statistics, maximal multinomial frequency and randomization de\-signs ⋮ The Asymptotic and Numerical Inversion of the MarcumQ-Function ⋮ The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases ⋮ Gaussian expansions and bounds for the Poisson distribution applied to the Erlang B formula ⋮ Asymptotic expansions for the incomplete gamma function in the transition regions ⋮ Algorithm 955 ⋮ A monotonicity property of the composition of regularized and inverted-regularized gamma functions with applications ⋮ Asymptotic inversion of the incomplete beta function

Cites Work

• An Asymptotic Expansion for the Upper Percentage Points of the χ 2 -Distribution
• Computation of the incomplete gamma function ratios and their inverse
• The Uniform Asymptotic Expansion of a Class of Integrals Related to Cumulative Distribution Functions
• The Gamma Distribution and Inventory Control
• Rational Chebyshev Approximations for the Inverse of the Error Function
• The Asymptotic Expansion of the Incomplete Gamma Functions
• On the Calculation of the Inverse of the Error Function.
• Unnamed Item

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