On a logarithmic integral and the moments of order statistics from the Weibull-geometric and half-logistic families of distributions

DOI10.1016/j.jmaa.2013.09.001zbMath1309.33010OpenAlexW2012061174MaRDI QIDQ2260372

M. Dolores Jiménez-Gamero, Pedro Jodrá

Publication date: 10 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.09.001

zbMATH Keywords

momentsorder statisticsStirling numberspolylogarithm functionhalf-logistic distributionWeibull-geometric distribution

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Other combinatorial number theory (11B75) Higher logarithm functions (33B30)

Related Items (4)

The Rayleigh–Lindley model: properties and applications ⋮ Recurrence relations for moments of order statistics from half logistic-geometric distribution and their applications ⋮ Unnamed Item ⋮ A study of risks of Bayes estimators in the generalized half-logistic distribution for progressively type-II censored samples

Uses Software

• DLMF

Cites Work

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• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• A class of logarithmic integrals
• Order statistics: applications
• A lifetime distribution with decreasing failure rate
• The complementary exponential geometric distribution: model, properties, and a comparison with its counterpart
• On an extension of the exponential-geometric distribution
• Bias Reduction for the Maximum Likelihood Estimators of the Parameters in the Half-Logistic Distribution
• The Weibull-geometric distribution
• A New Product Growth for Model Consumer Durables
• Approximate MLEs for the location and scale parameters of the half-logistic distribution with type-II right-censoring
• Order statistics from the half logistic distribution
• Best linear unbiased estimators of location and scale parameters of the half logistic distribution
• Order Statistics
• A new long-term lifetime distribution induced by a latent complementary risk framework
• Tables of the Generalized Stirling Numbers of the First Kind
• On a connection between the polylogarithm function and the Bass diffusion model

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