Inverted exponential distribution as a life distribution model from a Bayesian viewpoint
The Inverted Exponential Distribution is studied as a prospective life distribution. In this paper, we derive Bayes' estimators for the parameter θ of inverted exponential distribution. These estimators are obtained on the basis of squared error and LINEX loss functions. Comparisons in terms of...
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| Format: | Article |
| Language: | English |
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Ubiquity Press
2007-10-01
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| Series: | Data Science Journal |
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| Online Access: | http://datascience.codata.org/articles/358 |
| _version_ | 1819228990131404800 |
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| author | Sanku Dey |
| author_facet | Sanku Dey |
| author_sort | Sanku Dey |
| collection | DOAJ |
| description | The Inverted Exponential Distribution is studied as a prospective life distribution. In this paper, we derive Bayes' estimators for the parameter θ of inverted exponential distribution. These estimators are obtained on the basis of squared error and LINEX loss functions. Comparisons in terms of risks with the estimate of θ under squared error loss and LINEX loss functions have been made. Finally, numerical study is given to illustrate the results. |
| first_indexed | 2024-12-23T11:06:03Z |
| format | Article |
| id | doaj.art-a2763dc538834f13b273b780530353f8 |
| institution | Directory Open Access Journal |
| issn | 1683-1470 |
| language | English |
| last_indexed | 2024-12-23T11:06:03Z |
| publishDate | 2007-10-01 |
| publisher | Ubiquity Press |
| record_format | Article |
| series | Data Science Journal |
| spelling | doaj.art-a2763dc538834f13b273b780530353f82022-12-21T17:49:29ZengUbiquity PressData Science Journal1683-14702007-10-01610711310.2481/dsj.6.107360Inverted exponential distribution as a life distribution model from a Bayesian viewpointSanku Dey0Dept. of Statistics, St. Anthony’s College, Shillong-793001, Meghalaya, IndiaThe Inverted Exponential Distribution is studied as a prospective life distribution. In this paper, we derive Bayes' estimators for the parameter θ of inverted exponential distribution. These estimators are obtained on the basis of squared error and LINEX loss functions. Comparisons in terms of risks with the estimate of θ under squared error loss and LINEX loss functions have been made. Finally, numerical study is given to illustrate the results.http://datascience.codata.org/articles/358Bayes’ estimatorLINEX loss functionReliability functionRisk functionSquared error loss function. |
| spellingShingle | Sanku Dey Inverted exponential distribution as a life distribution model from a Bayesian viewpoint Data Science Journal Bayes’ estimator LINEX loss function Reliability function Risk function Squared error loss function. |
| title | Inverted exponential distribution as a life distribution model from a Bayesian viewpoint |
| title_full | Inverted exponential distribution as a life distribution model from a Bayesian viewpoint |
| title_fullStr | Inverted exponential distribution as a life distribution model from a Bayesian viewpoint |
| title_full_unstemmed | Inverted exponential distribution as a life distribution model from a Bayesian viewpoint |
| title_short | Inverted exponential distribution as a life distribution model from a Bayesian viewpoint |
| title_sort | inverted exponential distribution as a life distribution model from a bayesian viewpoint |
| topic | Bayes’ estimator LINEX loss function Reliability function Risk function Squared error loss function. |
| url | http://datascience.codata.org/articles/358 |
| work_keys_str_mv | AT sankudey invertedexponentialdistributionasalifedistributionmodelfromabayesianviewpoint |