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Bayesian analysis for the two-parameter Pareto distribution based on record values and times

机译:基于记录值和时间的两参数帕累托分布的贝叶斯分析

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摘要

Doostparast and Balakrishnan (Pareto record-based analysis, Statistics, under review) recently developed optimal confidence intervals as well as uniformly most powerful tests for one- and two-sided hypotheses concerning shape and scale parameters, for the two-parameter Pareto distribution based on record data. In this paper, on the basis of record values and inter-record times from the two-parameter Pareto distribution, maximum-likelihood and Bayes estimators as well as credible regions are developed for the two parameters of the Pareto distribution. For illustrative purposes, a data set on annual wages of a sample of production-line workers in a large industrial firm is analysed using the proposed procedures.
机译:Doostparast和Balakrishnan(基于Pareto记录的分析,正在统计中,正在审查中)最近针对基于参数的两参数Pareto分布,开发了关于形状和比例参数的一面和两面假设的最佳置信区间以及统一最有效的检验。记录数据。本文在基于两参数帕累托分布的记录值和记录间时间的基础上,针对帕累托分布的两个参数开发了最大似然和贝叶斯估计量以及可信区域。为了说明的目的,使用建议的程序分析了有关大型工业公司中生产线工人样本的年薪的数据集。

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