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Estimation of R for geometric distribution under lower record values
Faculty
Science
Year:
2020
Type of Publication:
ZU Hosted
Pages:
Authors:
Marwa Osman Mohamed Othman
Staff Zu Site
Abstract In Staff Site
Journal:
Journal of Applied Research and Technology Journal of Applied Research and Technology www.jart.icat.unam.mx
Volume:
Keywords :
Estimation , , , geometric distribution under lower record values
Abstract:
In this paper, the estimation of the stress-strength model R = P(Y < X), based on lower record values is derived when both X and Y are independent and identical random variables with geometric distribution. Estimating R with maximum likelihood estimator and Bayes estimator with non-informative prior information based on mean square errors and LINIX loss functions for geometric distribution are obtained. The confidence intervals of R are constructed by using exact, bootstrap and Bayesian methods. Finally, different methods have been used for illustrative purpose by using simulation. The main results are obtained and introduced through a set of tables and figures with discussions.
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Marwa Osman Mohamed Othman, "ON ESTIMATION OF STRESS-STRENGTH RELIABILITY USING LOWER RECORD VALUES FROM ODD GENERALIZED EXPONENTIAL - EXPONENTIAL DISTRIBUTIO", Journal of Applied Engineering Science, 2021
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