记录的类型是否影响参数的估计?

Mohd. Arshad, Qazi J. Azhad
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引用次数: 0

摘要

基于Kw-G分布的记录数据,考虑了一个广义分布族,即Kumaraswamy广义(Kw-G)分布族,用于估计未知参数和可靠性函数。推导了未知参数和可靠性函数的最大似然估计量及其置信区间。在对称和非对称损失函数下进行了贝叶斯研究,以找到未知参数和可靠性函数的贝叶斯估计量。基于数值示例和蒙特卡罗模拟,使用贝叶斯方法和非贝叶斯方法预测未来的记录值。
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Does the Type of Records Affect the Estimates of the Parameters?
A general family of distributions, namely Kumaraswamy generalized family of (Kw-G) distribution, is considered for estimation of the unknown parameters and reliability function based on record data from Kw-G distribution. The maximum likelihood estimators (MLEs) are derived for unknown parameters and reliability function, along with its confidence intervals. A Bayesian study is carried out under symmetric and asymmetric loss functions in order to find the Bayes estimators for unknown parameters and reliability function. Future record values are predicted using Bayesian approach and non Bayesian approach, based on numerical examples and a monte carlo simulation.
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来源期刊
CiteScore
0.50
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期刊介绍: The Journal of Modern Applied Statistical Methods is an independent, peer-reviewed, open access journal designed to provide an outlet for the scholarly works of applied nonparametric or parametric statisticians, data analysts, researchers, classical or modern psychometricians, and quantitative or qualitative methodologists/evaluators.
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