Recurrence relations for single and product moments of record values from generalized pareto distribution

DOI10.1080/03610929408831419zbMath0850.62118OpenAlexW2037353357MaRDI QIDQ4843648

Mohammad Ahsanullah, Narayanaswamy Balakrishnan

Publication date: 17 August 1995

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

Full work available at URL: https://doi.org/10.1080/03610929408831419

zbMATH Keywords

exponential distributionrecord valuesrecurrence relationsproduct momentssingle momentsgeneralized Pareto distribution

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (21)

Statistical inference based on generalized Lindley record values ⋮ Estimation for the generalized pareto distribution with censored data ⋮ Recurrence relations for single and product moments of k-th record values from pareto, generalized pareto and burr distributions ⋮ RECURRENCE RELATIONS FOR SINGLE AND PRODUCT MOMENTS OF GENERALIZED ORDER STATISTICS FROM PARETO, GENERALIZED PARETO, AND BURR DISTRIBUTIONS ⋮ On the moments of record values ⋮ Bayesian Estimation for Deformed Modified Power Series Distribution ⋮ Some Estimation Techniques in Reliability and Survival Analysis Based on Record-Breaking Data ⋮ On characterizations of distributions by expected values of order statistics and record values with gap ⋮ Inference on generalized inverted exponential distribution based on record values and inter-record times ⋮ Inference for the unit-Gompertz model based on record values and inter-record times with an application ⋮ Statistical inference of exponentiated moment exponential distribution based on lower record values ⋮ Relations for moments of \(k\)-th record values from exponential-Weibull lifetime distribution and a characterization ⋮ Recurrence relations for single moments of generalized order statistics from doubly truncated distributions ⋮ On characterization of certain distributions of record values ⋮ On Moments of k-Records from Discrete Distributions ⋮ Recurrence relations for quotient moments of the generalized Pareto distribution byK-th record values ⋮ Comparisons of several Pareto distributions based on record values ⋮ Bayesian estimation for non zero inflated modified power series distribution under linex and generalized entropy loss functions ⋮ On the Bias of the Maximum Likelihood Estimator for the Two-Parameter Lomax Distribution ⋮ Relations for expectations of functions of generalized order statistics ⋮ Explicit expressions and statistical inference of generalized Rayleigh distribution based on lower record values

Cites Work

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• On characterizations of distributions via moments of record values
• Approximate distributions of order statistics. With applications to nonparametric statistics
• Relations for single and product moments of record values from Gumbel distribution
• Statistical inference using extreme order statistics
• Record values and maxima
• Record values and inter-record times
• Parameter and Quantile Estimation for the Generalized Pareto Distribution
• Records
• Breaking Records and Breaking Boards
• Recurrence relations for moments of record values from generalized extreme value distribution

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