Statistical Inference for Two Mixture Weibull samples Based On Joint Type-I Censored Scheme

نوع المستند : المقالة الأصلية

المؤلفون

1 Professor of Statistics, Mathematics and Insurance Faculty of Commerce Kafr El Sheikh University

2 Teaching assistant at the Department of Statistics, Mathematics and Insurance Faculty of Commerce Kafr El Sheikh University

3 Lecturer of Statistics, Mathematics and Insurance Faculty of Commerce, Kafr El Sheikh University

المستخلص

This study discusses the maximum likelihood estimation for determining the unknown parameters of two mixture Weibull samples under a Joint Type-I censoring scheme. Simulation research is conducted to evaluate the performance of maximal likelihood estimators (MLEs) utilizing R statistical programming software version 4.0.4. The analysis results are displayed in three tables: the first table presents one ordered complete sample of mixed Weibull distributions, the second table exhibits two distinct joint type-I samples from mixed Weibull distributions, and the third table illustrates the maximum likelihood estimates (MLEs) along with their standard errors and 95% confidence intervals. Ultimately, we examine a singular genuine data set for illustrative purposes. The actual data sets were derived from a study on the tensile strength of jute fibers with a modified Weibull distribution, with lengths of 10 mm and 20 mm. Each fiber group included 30 analogous fibers, and the findings were displayed in tables and graphs.

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