BIVARIATE WEIBULL FRÉCHET MODEL BASED ON GAUSSIAN COPULA

The Weibull distribution has been used effectively in many fields, especially for lifetime applications such as engineering, biomedical, and social sciences, among others. It is a continuous probability distribution that is used to examine product reliability, model failure rates, and analyze life data. The Fréchet distribution can be contrasted to the inverse Weibull distribution. In this paper, a bivariate model of the Weibull and Fréchet distributions is proposed due to its importance with lifetime applications. The proposed model is based on Gaussian copula, which is utilized in many applications as an emerging model. The inference about the new model is discussed through semi-parametric and parametric techniques. Finally, the successful performance of the suggested distribution is next examined using the goodness of fit test, and methods of inference are illustrated.

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Publication Details

Journal
Advances and Applications in Statistics
Published
2025-03-08
DOI
https://doi.org/10.17654/0972361725027
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
Field-Weighted Citation Impact
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article

BIVARIATE WEIBULL FRÉCHET MODEL BASED ON GAUSSIAN COPULA

Sulafah M. Saleh Binhimd
Advances and Applications in Statistics
Statistical Distribution Estimation and Applications
article

BIVARIATE WEIBULL FRÉCHET MODEL BASED ON GAUSSIAN COPULA

Sulafah M. Saleh Binhimd
article en

Abstract

The Weibull distribution has been used effectively in many fields, especially for lifetime applications such as engineering, biomedical, and social sciences, among others. It is a continuous probability distribution that is used to examine product reliability, model failure rates, and analyze life data. The Fréchet distribution can be contrasted to the inverse Weibull distribution. In this paper, a bivariate model of the Weibull and Fréchet distributions is proposed due to its importance with lifetime applications. The proposed model is based on Gaussian copula, which is utilized in many applications as an emerging model. The inference about the new model is discussed through semi-parametric and parametric techniques. Finally, the successful performance of the suggested distribution is next examined using the goodness of fit test, and methods of inference are illustrated.

Advances and Applications in StatisticsVol. 92(5)
Openalex Percentile: Top 95%
Statistical Distribution Estimation and Applications
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