Inference on $$P(X&lt;Y)$$ for bivariate normal distribution based on ranked set sample

Chacko, Manoj; Mathew, Shiny

doi:10.1007/s40300-019-00154-5

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A Bayesian Estimation Under Rss With Complete Data1

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2023

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Cited by 3 publications

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“…); then, the importance sampling method [32] [33] [37] [38], can be used to obtain the joint Bayesian estimates of µ and σ 2 as follows:…”

Section: A Bayesian Estimation Under Rss With Complete Datamentioning

confidence: 99%

Bayesian Estimation of Log-Normal Distribution Under Ranked Set Sampling With Missing Data

Feng-xi

2021

IEEE Access

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In this paper, joint Bayesian estimation of two parameters of a log-normal distribution is obtained based on simple random sampling (SRS) and ranked set sampling (RSS) with complete and missing data. For the missing data case, two missing mechanisms are considered: missing at random (MAR) and missing not at random (MNAR). A logistic regression model is specified for the MNAR mechanism. The results based on SRS and RSS with three different types of prior information are compared via simulation studies with both complete and missing data. It is shown that the results obtained under RSS are significantly better than those obtained under SRS. In the simulation studies, the Gibbs sampling method, Metropolis-Hastings algorithm and importance sampling method are used to sample posterior distributions to estimate the unknown parameters of the log-normal distribution.

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“…); then, the importance sampling method [32] [33] [37] [38], can be used to obtain the joint Bayesian estimates of µ and σ 2 as follows:…”

Section: A Bayesian Estimation Under Rss With Complete Datamentioning

confidence: 99%

Bayesian Estimation of Log-Normal Distribution Under Ranked Set Sampling With Missing Data

Feng-xi

2021

IEEE Access

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Inference on $$P(X<Y)$$ for Bivariate Normal Distribution based on Censored Data

Chacko

Mathew

2020

J Indian Soc Probab Stat

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Estimation of multicomponent stress–strength reliability for exponentiated Gumbel distribution

Chacko,

Elizabeth Koshy

2023

Journal of Statistical Computation and Simulation

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Inference on $$P(X<Y)$$ for bivariate normal distribution based on ranked set sample

Cited by 3 publications

References 18 publications

Bayesian Estimation of Log-Normal Distribution Under Ranked Set Sampling With Missing Data

Bayesian Estimation of Log-Normal Distribution Under Ranked Set Sampling With Missing Data

Inference on $$P(X<Y)$$ for Bivariate Normal Distribution based on Censored Data

Estimation of multicomponent stress–strength reliability for exponentiated Gumbel distribution

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