الهلباوي, Ø. (2019). Estimation Under a Finite Mixture of Two-Component Topp-Leone Rayleigh Lifetime Model. test, 39(67), 107-128. doi: 10.21608/sjcf.2019.228193
عبير عبد الله الهلباوي. "Estimation Under a Finite Mixture of Two-Component Topp-Leone Rayleigh Lifetime Model". test, 39, 67, 2019, 107-128. doi: 10.21608/sjcf.2019.228193
الهلباوي, Ø. (2019). 'Estimation Under a Finite Mixture of Two-Component Topp-Leone Rayleigh Lifetime Model', test, 39(67), pp. 107-128. doi: 10.21608/sjcf.2019.228193
الهلباوي, Ø. Estimation Under a Finite Mixture of Two-Component Topp-Leone Rayleigh Lifetime Model. test, 2019; 39(67): 107-128. doi: 10.21608/sjcf.2019.228193

Estimation Under a Finite Mixture of Two-Component Topp-Leone Rayleigh Lifetime Model

المجلة العلمية لکلية التجارة (أسيوط)
Volume 39, Issue 67 - Serial Number 2, December 2019, Pages 107-128    PDF (763.18 K)
Document Type: المقالة الأصلية
DOI: 10.21608/sjcf.2019.228193
Author
عبير عبد الله الهلباوي*
كلية التجارة بنات، جامعة الأزهر، القاهرة
Abstract
In this paper, a finite mixture distribution of two-component Topp-Leone Rayleigh lifetime model is introduced. Maximum likelihood and Bayes estimators are derived for the unknown parameters, mixing proportion, reliability and hazard rate functions based on Type II censored samples from the mixture distribution. Confidence and credible intervals for the parameters, mixing proportion, reliability and hazard rate functions are obtained. Bayesian estimation is considered under balanced error loss function. A numerical illustration is carried out to investigate the precision of the maximum likelihood and Bayes estimates. An application using real data is used to insure the simulated results.
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