On the approximations to some limiting distributions with some applications

DOI10.2996/kmj/1138844635zbMath0241.60024OpenAlexW1995785044MaRDI QIDQ5651962

Hajime Makabe

Publication date: 1962

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138844635

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Limit theorems in probability theory (60F99)

Related Items (3)

A Charlier-Parseval approach to Poisson approximation and its applications ⋮ On approximations to some limiting distributions with applications to the theory of sampling inspections by attributes ⋮ On the accuracy of approximation of the binomial distribution by the Poisson law

Cites Work

• Unnamed Item
• An approximation theorem for the Poisson binomial distribution
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• On the approximation to some limiting distributions
• Two Uniform Limit Theorems for Sums of Independent Random Variables
• The Poisson Approximation to the Poisson Binomial Distribution
• Normal Approximation to the Distribution of Two Independent Binomials, Conditional on Fixed Sum

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