Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals
We obtained the maximum likelihood and Bayes estimators of the parameters of the generalized inverted exponential distribution in case of the progressive type-II censoring scheme with binomial removals. Bayesian estimation procedure has been discussed under the consideration of the square error and...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2013/183652 |
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| _version_ | 1832562246935379968 |
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| author | Sanjay Kumar Singh Umesh Singh Manoj Kumar |
| author_facet | Sanjay Kumar Singh Umesh Singh Manoj Kumar |
| author_sort | Sanjay Kumar Singh |
| collection | DOAJ |
| description | We obtained the maximum likelihood and Bayes estimators of the parameters of the
generalized inverted exponential distribution in case of the progressive type-II censoring scheme with
binomial removals. Bayesian estimation procedure has been discussed under the consideration of the
square error and general entropy loss functions while the model parameters follow the gamma prior
distributions. The performances of the maximum likelihood and Bayes estimators are compared
in terms of their risks through the simulation study. Further, we have also derived the expression
of the expected experiment time to get a progressively censored sample with binomial removals,
consisting of specified number of observations from generalized inverted exponential distribution.
An illustrative example based on a real data set has also been given. |
| format | Article |
| id | doaj-art-220789786007420aad6b7ba474cf7e27 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-220789786007420aad6b7ba474cf7e272025-02-03T01:23:04ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/183652183652Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial RemovalsSanjay Kumar Singh0Umesh Singh1Manoj Kumar2Department of Statistics and DST-CIMS, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Statistics and DST-CIMS, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Statistics and DST-CIMS, Banaras Hindu University, Varanasi 221005, IndiaWe obtained the maximum likelihood and Bayes estimators of the parameters of the generalized inverted exponential distribution in case of the progressive type-II censoring scheme with binomial removals. Bayesian estimation procedure has been discussed under the consideration of the square error and general entropy loss functions while the model parameters follow the gamma prior distributions. The performances of the maximum likelihood and Bayes estimators are compared in terms of their risks through the simulation study. Further, we have also derived the expression of the expected experiment time to get a progressively censored sample with binomial removals, consisting of specified number of observations from generalized inverted exponential distribution. An illustrative example based on a real data set has also been given.http://dx.doi.org/10.1155/2013/183652 |
| spellingShingle | Sanjay Kumar Singh Umesh Singh Manoj Kumar Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals Journal of Probability and Statistics |
| title | Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals |
| title_full | Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals |
| title_fullStr | Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals |
| title_full_unstemmed | Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals |
| title_short | Estimation of Parameters of Generalized Inverted Exponential Distribution for Progressive Type-II Censored Sample with Binomial Removals |
| title_sort | estimation of parameters of generalized inverted exponential distribution for progressive type ii censored sample with binomial removals |
| url | http://dx.doi.org/10.1155/2013/183652 |
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