The Monto-Carlo procedure of some estimation methods for Exponential-Weibull distribution

In this paper, deicing and derivative two parameters of Exponential Weibull (EW) distribution using three methods of estimate first is maximum likelihood estimation (MLE) the second is ordinary least squares estimation (OLS) and the third is ranked set sampling estimation (RSSE).After that, the simulation technique (Monto-Carlo method) is used to estimate the parameters and Reliability function for different values of sample size and various values of initial values by employing a MATLAB programmer and then using the Mean square error to find which method is the best.

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Publication Details

Journal
Results in Nonlinear Analysis
Published
2025-01-01
DOI
https://doi.org/10.31838/rna/2025.08.02.011
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

The Monto-Carlo procedure of some estimation methods for Exponential-Weibull distribution

Results in Nonlinear Analysis
Statistical Distribution Estimation and Applications
article

The Monto-Carlo procedure of some estimation methods for Exponential-Weibull distribution

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Abstract

In this paper, deicing and derivative two parameters of Exponential Weibull (EW) distribution using three methods of estimate first is maximum likelihood estimation (MLE) the second is ordinary least squares estimation (OLS) and the third is ranked set sampling estimation (RSSE).After that, the simulation technique (Monto-Carlo method) is used to estimate the parameters and Reliability function for different values of sample size and various values of initial values by employing a MATLAB programmer and then using the Mean square error to find which method is the best.

Results in Nonlinear AnalysisVol. 8(2)
University of Baghdad (IQ)
Openalex Percentile: Top 80%
Statistical Distribution Estimation and Applications
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The Monto-Carlo procedure of some estimation methods for Exponential-Weibull distribution · Results in Nonlinear Analysis (2025) | TGRS Research Map | TGRS