# Cite Article

### Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model

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@article{IJASEIT3506, author = {Amal S. Hassan and Marwa Abd-Allah and Heba F. Nagy}, title = {Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model}, journal = {International Journal on Advanced Science, Engineering and Information Technology}, volume = {8}, number = {2}, year = {2018}, pages = {323--335}, keywords = {upper record ranked set sample; Bayesian estimator; squared error (SE) loss function; linear exponential (LINEX) loss function; Markov Chain Monte Carlo}, abstract = {In some situations, only observations that are more extreme than the current extreme value are recorded. This kind of data is called record values which have many applications in a lot of fields. In this paper, the Bayesian estimators using squared error and LINEX loss functions for the generalized inverted exponential distribution parameters are considered depending on upper record values and upper record ranked set sampling. The Bayes estimates and credible intervals are derived by considering the independent gamma priors for the parameters. The Markov Chain Monte Carlo (MCMC) method is developed due to the lack of explicit forms for the Bayes estimates. A Simulation study is implemented to compute and compare the performance of estimators in both sampling schemes with respect to relative absolute biases, estimated risks and the width of credible intervals.

}, issn = {2088-5334}, publisher = {INSIGHT - Indonesian Society for Knowledge and Human Development}, url = {http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=3506}, doi = {10.18517/ijaseit.8.2.3506} }

## EndNote

%A Hassan, Amal S. %A Abd-Allah, Marwa %A Nagy, Heba F. %D 2018 %T Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model %B 2018 %9 upper record ranked set sample; Bayesian estimator; squared error (SE) loss function; linear exponential (LINEX) loss function; Markov Chain Monte Carlo %! Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model %K upper record ranked set sample; Bayesian estimator; squared error (SE) loss function; linear exponential (LINEX) loss function; Markov Chain Monte Carlo %XIn some situations, only observations that are more extreme than the current extreme value are recorded. This kind of data is called record values which have many applications in a lot of fields. In this paper, the Bayesian estimators using squared error and LINEX loss functions for the generalized inverted exponential distribution parameters are considered depending on upper record values and upper record ranked set sampling. The Bayes estimates and credible intervals are derived by considering the independent gamma priors for the parameters. The Markov Chain Monte Carlo (MCMC) method is developed due to the lack of explicit forms for the Bayes estimates. A Simulation study is implemented to compute and compare the performance of estimators in both sampling schemes with respect to relative absolute biases, estimated risks and the width of credible intervals.

%U http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=3506 %R doi:10.18517/ijaseit.8.2.3506 %J International Journal on Advanced Science, Engineering and Information Technology %V 8 %N 2 %@ 2088-5334

## IEEE

Amal S. Hassan,Marwa Abd-Allah and Heba F. Nagy,"Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model,"International Journal on Advanced Science, Engineering and Information Technology, vol. 8, no. 2, pp. 323-335, 2018. [Online]. Available: http://dx.doi.org/10.18517/ijaseit.8.2.3506.

## RefMan/ProCite (RIS)

TY - JOUR AU - Hassan, Amal S. AU - Abd-Allah, Marwa AU - Nagy, Heba F. PY - 2018 TI - Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model JF - International Journal on Advanced Science, Engineering and Information Technology; Vol. 8 (2018) No. 2 Y2 - 2018 SP - 323 EP - 335 SN - 2088-5334 PB - INSIGHT - Indonesian Society for Knowledge and Human Development KW - upper record ranked set sample; Bayesian estimator; squared error (SE) loss function; linear exponential (LINEX) loss function; Markov Chain Monte Carlo N2 -In some situations, only observations that are more extreme than the current extreme value are recorded. This kind of data is called record values which have many applications in a lot of fields. In this paper, the Bayesian estimators using squared error and LINEX loss functions for the generalized inverted exponential distribution parameters are considered depending on upper record values and upper record ranked set sampling. The Bayes estimates and credible intervals are derived by considering the independent gamma priors for the parameters. The Markov Chain Monte Carlo (MCMC) method is developed due to the lack of explicit forms for the Bayes estimates. A Simulation study is implemented to compute and compare the performance of estimators in both sampling schemes with respect to relative absolute biases, estimated risks and the width of credible intervals.

UR - http://ijaseit.insightsociety.org/index.php?option=com_content&view=article&id=9&Itemid=1&article_id=3506 DO - 10.18517/ijaseit.8.2.3506

## RefWorks

RT Journal Article ID 3506 A1 Hassan, Amal S. A1 Abd-Allah, Marwa A1 Nagy, Heba F. T1 Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model JF International Journal on Advanced Science, Engineering and Information Technology VO 8 IS 2 YR 2018 SP 323 OP 335 SN 2088-5334 PB INSIGHT - Indonesian Society for Knowledge and Human Development K1 upper record ranked set sample; Bayesian estimator; squared error (SE) loss function; linear exponential (LINEX) loss function; Markov Chain Monte Carlo AB