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Optimal Bayesian Sampling Plans Based on Hybrid Type-Ⅱ Censored Samples
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作者 CHENG Conghua CHENG Lijuan 《Journal of Donghua University(English Edition)》 EI CAS 2018年第1期58-64,共7页
The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling c... The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling cost, time-consuming cost, salvage value,and decision loss. It is employed to determine the Bayes risk and the corresponding optimal sampling plan. An explicit expression of the Bayes risk is derived. Furthermore,for the conjugate prior distribution,the closed-form formula of the Bayes decision rule can be obtained under either the linear or quadratic decision loss. 展开更多
关键词 Bayesian sampling plan Bayes risk decision function loss function hybrid censored sample
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Wavelet Estimation in Heteroscedastic Model Under Censored Samples 被引量:1
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作者 Han Ying LIANG Jong IL BAEK 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第12期2253-2268,共16页
Consider the heteroscedastic regression model Yi = g(xi) + σiei, 1 ≤ i ≤ n, where σi^2 = f(ui), here (xi, ui) being fixed design points, g and f being unknown functions defined on [0, 1], ei being independe... Consider the heteroscedastic regression model Yi = g(xi) + σiei, 1 ≤ i ≤ n, where σi^2 = f(ui), here (xi, ui) being fixed design points, g and f being unknown functions defined on [0, 1], ei being independent random errors with mean zero. Assuming that Yi are censored randomly and the censored distribution function is known or unknown, we discuss the rates of strong uniformly convergence for wavelet estimators of g and f, respectively. Also, the asymptotic normality for the wavelet estimators of g is investigated. 展开更多
关键词 censored sample heteroscedastic regression model wavelet estimator strong unform convergence rate asymptotic normality
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Exponentiated Generalized Inverse Flexible Weibull Distribution:Bayesian and Non-Bayesian Estimation Under Complete and TypeⅡCensored Samples with Applications
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作者 M.El-Morshedy M.S.Eliwa +2 位作者 A.El-Gohary Ehab M.Almetwally R.EL-Desokey 《Communications in Mathematics and Statistics》 SCIE 2022年第3期413-434,共22页
In this paper,a new 4-parameter exponentiated generalized inverse flexible Weibull distribution is proposed.Some of its statistical properties are studied.The aim of this paper is to estimate the model parameters via ... In this paper,a new 4-parameter exponentiated generalized inverse flexible Weibull distribution is proposed.Some of its statistical properties are studied.The aim of this paper is to estimate the model parameters via several approaches,namely,maximum likelihood,maximum product spacing and Bayesian.According to Bayesian approach,several techniques are used to get the Bayesian estimators,namely,standard error function,Linex loss function and entropy loss function.The estimation herein is based on complete and censored samples.Markov Chain Monte Carlo simulation is used to discuss the behavior of the estimators for each approach.Finally,two real data sets are analyzed to obtain the flexibility of the proposed model. 展开更多
关键词 Weibull distribution Hazard rate function Maximum likelihood estimation Maximum product spacing estimation Bayesian estimation censored samples Simulation
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Ⅰ型左删失下Topp-Leone分布的参数及可靠度函数的估计
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作者 龙沁怡 徐丽平 《Chinese Quarterly Journal of Mathematics》 2023年第1期97-110,共14页
Firstly, the maximum likelihood estimate and asymptotic confidence interval of the unkown parameter for the Topp-Leone distribution are obtained under Type-I left censored samples, furthermore, the asymptotic confiden... Firstly, the maximum likelihood estimate and asymptotic confidence interval of the unkown parameter for the Topp-Leone distribution are obtained under Type-I left censored samples, furthermore, the asymptotic confidence interval of reliability function is obtained based on monotonicity. Secondly, under different loss functions, the Bayesian estimates of the unkown parameter and reliability function are obtained, and the expected mean square errors of Bayesian estimates are calculated. Monte-Carlo method is used to calculate the mean values and relative errors of the estimates. Finally, an example of life data is analyzed by using the statistical method in this paper. 展开更多
关键词 Topp-Leone distribution Type-I left censored samples Maximum likelihood estimate Bayesian estimate
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Estimating an Exponential Scale Parameter Under Double Censoring
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作者 Yogesh Mani Tripathi Constantinos Petropoulos Farha Sultana 《Communications in Mathematics and Statistics》 SCIE 2019年第3期309-328,共20页
We consider estimation of the scale parameter of a two-parameter exponential distribution on the basis of doubly censored data.Classes of estimators,improving upon the minimum risk equivariant estimator,are derived un... We consider estimation of the scale parameter of a two-parameter exponential distribution on the basis of doubly censored data.Classes of estimators,improving upon the minimum risk equivariant estimator,are derived under an arbitrary strictly convex loss function.Some existing dominating procedures are shown to belong to the proposed classes of estimators. 展开更多
关键词 Brewster-Zidek estimator censored samples Equivariant estimator INADMISSIBILITY Stein-type estimator
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