Statistical Inference of a New Pareto-type Model under Generalized Hybrid Type-I Censored Samples
Soliman, A., Abd- Elmougod, G., Ahmed, A., Taha, O. (2025). Statistical Inference of a New Pareto-type Model under Generalized Hybrid Type-I Censored Samples. EKB Journal Management System, 10(1), 10-23. doi: 10.21608/sjsci.2024.297521.1213
Ahmed A. Soliman; Gamal A Abd- Elmougod; Alwageh Ahmed; Osama Mohamed Taha. "Statistical Inference of a New Pareto-type Model under Generalized Hybrid Type-I Censored Samples". EKB Journal Management System, 10, 1, 2025, 10-23. doi: 10.21608/sjsci.2024.297521.1213
Soliman, A., Abd- Elmougod, G., Ahmed, A., Taha, O. (2025). 'Statistical Inference of a New Pareto-type Model under Generalized Hybrid Type-I Censored Samples', EKB Journal Management System, 10(1), pp. 10-23. doi: 10.21608/sjsci.2024.297521.1213
Soliman, A., Abd- Elmougod, G., Ahmed, A., Taha, O. Statistical Inference of a New Pareto-type Model under Generalized Hybrid Type-I Censored Samples. EKB Journal Management System, 2025; 10(1): 10-23. doi: 10.21608/sjsci.2024.297521.1213

Statistical Inference of a New Pareto-type Model under Generalized Hybrid Type-I Censored Samples

Sohag Journal of Sciences
Volume 10, Issue 1, March 2025, Page 10-23  XML PDF (465.54 K)
Document Type: Regular Articles
DOI: 10.21608/sjsci.2024.297521.1213
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Authors
Ahmed A. Soliman1; Gamal A Abd- Elmougod2; Alwageh Ahmed1; Osama Mohamed Taha email 1
1Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.
2Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, 22511, Egypt
Abstract
In life-testing experiments, generalized hybrid Type-I censoring scheme (GHTCS) has been adopted to enhance the
statistical efficiency of estimators. The core focus of this article is to extensively tackle the critical matter of estimation
the model parameters and the parameters of life (reliability and hazard rate functions) for a new Pareto-type distribution
(NPD) based on GHTCS. Initially, the model parameters as well as the parameters of life are estimated by maximum
likelihood method and the corresponding approximate confidence intervals are constructed with respected to the observed Fisher information matrix. To address scenarios where sample sizes are small, confidence intervals are created by employing the percentile bootstrap method. In addition, the point and credible intervals estimate of parameters are
constructed with respect to symmetric squared error loss Bayes method. To provide a robust and efficient framework for
accurate estimation the approximate Bayes estimators are computed under the technique of Markov chain Monte Carlo
(MCMC). The efficiency of estimators and comparative analysis of their performance are assessed under constructed the
comprehensive simulation study. Ultimately, the application of the estimators is demonstrated through the analysis a set
of real data.
Keywords
GHTCS; a new Pareto-type distribution; delta method; bootstrap method; Bayesian estimation; MCMC; importance sampling
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