Rayleigh Confidence Regions based on Record Data

Abdi, M.; Asgharzadeh, Akbar

doi:10.29252/jsri.14.2.171

Cited by 2 publications

(2 citation statements)

References 16 publications

(14 reference statements)

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“…Before presenting a detailed analysis, it is worth mentioning the generation of upper record samples from the ECD. Abdi and Asgharzadeh (2018) discussed a method for generating upper record values from any absolutely continuous distribution. To discuss Abdi and Asgharzadeh (2018) method for generating K 1 , K 2 , .…”

Section: Simulation Studymentioning

confidence: 99%

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Parameters Estimation of the Exponentiated Chen Distribution Based on Upper Record Values

Yousaf,

Ali,

Shah

et al. 2023

JRSS

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This article discusses the Bayesian and frequentist inferences for the exponentiated Chen distribution assuming upper record values. Due to unavailability of the compact form of marginal posterior distributions, a Markov Chain Monte Carlo algorithm is designed to compute the posterior summaries. Prediction of future record values under Bayesian and frequentist methods is also discussed mathematically and numerically. Further, a sensitivity analysis to assess the effect of prior on the estimated parameters is also a part of this study. Besides the simulation studies, the importance of the present study is illustrated with the help of a real data example. It is noted that the Bayes estimates outperform the frequentist inference.

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Section: Simulation Studymentioning

confidence: 99%

“…Abdi and Asgharzadeh (2018) discussed a method for generating upper record values from any absolutely continuous distribution. To discuss Abdi and Asgharzadeh (2018) method for generating K 1 , K 2 , . .…”

Section: Simulation Studymentioning

confidence: 99%