The distribution of the sum of independent and non identically generalized Lindley random variables

DOI10.1080/03610926.2021.1955387OpenAlexW3195915159MaRDI QIDQ6106214

Hidetoshi Murakami, Masato Kitani, Hiroki Hashiguchi

Publication date: 27 June 2023

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

Full work available at URL: https://doi.org/10.1080/03610926.2021.1955387

zbMATH Keywords

saddlepoint approximationconfluent hypergeometric functionmoment generating functionLindley distribution

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Storage capacity of a dam with gamma type inputs
• The distribution of the sum of independent gamma random variables
• The distributions of sum, minima and maxima of generalized geometric random variables
• Lindley distribution and its application
• A review of results on sums of random variables
• Computing the distribution of quadratic forms: further comparisons between the Liu-Tang-Zhang approximation and exact methods
• On the distribution of the sum of independent uniform random variables
• More on the distribution of the sum of uniform random variables
• On the distribution of the sum of \(n\) non-identically distributed uniform random variables
• Approximations to the distribution of sum of independent non-identically gamma random variables
• On the distribution of the sum of independent and non-identically extended exponential random variables
• The non-null limiting distribution of the generalized Baumgartner statistic based on the Fourier series approximation
• A new Lindley distribution with location parameter
• Characterizations of the exponential distribution by weighted sums of iid random variables
• Algorithm AS 231: The Distribution of a Noncentral Χ 2 Variable with Nonnegative Degrees of Freedom
• Saddle point approximation for the distribution of the sum of independent random variables
• Distribution of a Sum of Weighted Chi-Square Variables
• A New Extension of the Exponential Distribution
• A Note on the Convolution of Uniform Distributions
• Saddlepoint Approximations in Statistics
• A Wiener Germ approximation of the noncentral chi square distribution and of its quantiles
• A saddlepoint approximation to the distribution of the sum of independent non‐identically beta random variables

This page was built for publication: The distribution of the sum of independent and non identically generalized Lindley random variables