Resumo

MOHAMED, M. O.. Estimation of R for geometric distribution under lower record values. J. appl. res. technol [online]. 2020, vol.18, n.6, pp.368-375.  Epub 30-Jul-2021. ISSN 2448-6736.  https://doi.org/10.22201/icat.24486736e.2020.18.6.1354.

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.

Palavras-chave : Geometric distribution; stress-strength model; maximum likelihood estimator; Bayes estimator; means square errors loss functions; LINIX loss functions.

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