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논문 기본 정보

자료유형
학술저널
저자정보
Mohamed Ibrahim (Damietta University) Abhimanyu Singh Yadav (Central University of Rajasthan) Haitham M. Yousof (Benha University) Hafida Goual (Laboratory of Probability and Statistics University of Badji Mokhtar) G.G. Hamedani (Marquette University)
저널정보
한국통계학회 CSAM(Communications for Statistical Applications and Methods) CSAM(Communications for Statistical Applications and Methods) 제26권 제5호
발행연도
2019.9
수록면
473 - 495 (23page)

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초록· 키워드

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In this paper, a new extension of Lindley distribution has been introduced. Certain characterizations based on truncated moments, hazard and reverse hazard function, conditional expectation of the proposed distribution are presented. Besides, these characterizations, other statistical/mathematical properties of the proposed model are also discussed. The estimation of the parameters is performed through different classical methods of estimation. Bayes estimation is computed under gamma informative prior under the squared error loss function. The performances of all estimation methods are studied via Monte Carlo simulations in mean square error sense. The potential of the proposed model is analyzed through two data sets. A modified goodness-of-fit test using the Nikulin-Rao-Robson statistic test is investigated via two examples and is observed that the new extension might be used as an alternative lifetime model.

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Abstract
1. Introduction, motivation and physical interpretation
2. Characterizations
3. Mathematical properties
4. Different methods of estimation
5. Data analysis
6. Goodness-of-fit test for TLGLi model in complete data case
7. Simulation study
8. Conclusion
References

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