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Your search keyword '"H. Abdel Hamid"' showing total 3 results
Start Over Author "H. Abdel Hamid" Journal journal of the egyptian mathematical society
3 results on '"H. Abdel Hamid"'

1. Poisson–logarithmic half-logistic distribution with inference under a progressive-stress model based on adaptive type-II progressive hybrid censoring

Author

Atef F. Hashem, Coşkun Kuş, Ahmet Pekgör, and Alaa H. Abdel-Hamid

Subjects
Compounding of distributions, Parallel–series system, Poisson, logarithmic, and half-logistic distributions, Progressive-stress accelerated life test, Adaptive type-II progressive hybrid censoring, Maximum likelihood, percentile, least squares, and weighted least squares estimations, Mathematics, QA1-939
Abstract

Abstract The researchers, engineers, and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain systems. So, in this paper, a new distribution is introduced, named Poisson–logarithmic half-logistic distribution, based on a parallel–series system’s failure times. Specific statistical properties are investigated for the introduced distribution. Also, two real data sets are considered to compare the introduced distribution with some other distributions. The progressive-stress accelerated life test is applied using an increasing exponential function of time to units whose lifetimes are expected to follow the new distribution at normal stress conditions. Different estimation methods, such as maximum likelihood, percentile, least squares, and weighted least square methods, are considered on the basis of adaptive type-II progressive hybrid censoring. To assess the efficiency of the estimation methods, a simulation study is conducted, as well as numerical calculations.

Published
2022
Full Text
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3. Bayesian prediction intervals of order statistics based on progressively type-II censored competing risks data from the half-logistic distribution

Author

Alaa H. Abdel-Hamid, Atef F. Hashem, and Essam K. AL-Hussaini

Subjects
Bayesian prediction, One-sample prediction, Gompertz function, Monte Carlo method, Order statistic, Half-logistic distribution, Pareto principle, Prediction interval, Censoring (statistics), Competing risks model, Statistics, Econometrics, Progressive type-II censoring, Simulation, Weibull distribution, Mathematics
Abstract

The competing risks model may be of great importance for an investigator in medical studies or in reliability analysis. In this article, Bayesian prediction bounds of order statistics based on progressively type-II censored competing risks data from a general class of distributions are obtained. The class of distributions includes, among others, Weibull, compound Weibull, Pareto, Gompertz, compound Gompertz and half-logistic distributions. The results are then applied to the half-logistic distribution. Based on three different progressive type-II censoring schemes, prediction intervals of the future order statistics are obtained. An illustrative example is presented to show the procedure. A Monte Carlo simulation study is performed and numerical computations are carried out to obtain the coverage probabilities and average interval lengths of the prediction intervals.

Published
2015

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