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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
%X 

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.

%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 

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.

LK 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