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zbMATH Open
Article . 2019
Data sources: zbMATH Open
Hacettepe Journal of Mathematics and Statistics
Article . 2018 . Peer-reviewed
Data sources: Crossref
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Bayesian Analysis for Lognormal Distribution under Progressive Type-II Censoring

Bayesian analysis for lognormal distribution under progressive type-II censoring
Authors: Sukhdev Singh; Yogesh Mani Tripathi; Shuo-Jye Wu;

Bayesian Analysis for Lognormal Distribution under Progressive Type-II Censoring

Abstract

Summary: In this paper, we consider the problems of Bayesian estimation and prediction for lognormal distribution under progressive Type-II censored data. We propose various non-informative and informative priors for the unknown lognormal parameters and compute the Bayes estimates under squared error loss function. Importance sampling technique and OpenBUGS are taken into consideration for the computational purpose. Further, we predict lifetimes of both censored and future samples under one- and two-sample prediction frameworks. We also compute the corresponding Bayes predictive bounds. A simulation study is conducted to compare the performance of proposed estimates and a real data set is analyzed to illustrate applications of this study. Finally, a conclusion is presented.

Country
Taiwan
Keywords

\texttt{OpenBUGS}, Reliability and life testing, 330, Censored data models, equal-tail interval, Statistics, Bayesian inference, one-sample prediction, equal-tail interval;highest posterior density interval;one-sample prediction;OpenBUGS;two-sample prediction;importance sampling, 510, highest posterior density interval, importance sampling, İstatistik, two-sample prediction

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
bronze