Statistical Inference for Two Mixture Weibull samples Based On Joint Type-I Censored Scheme | ||
| مجلة الدراسات التجارية المعاصرة | ||
| Volume 8, Issue 14, July 2022, Pages 593-609 PDF (838.17 K) | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/csj.2025.155861.1257 | ||
| Authors | ||
| Waleed Mohamed Afify1; Jehan Adel Ibrahim Elbanna* 2; Ahmed Ramzy Shehata3 | ||
| 1Professor of Statistics, Mathematics and Insurance Faculty of Commerce Kafr El Sheikh University | ||
| 2Teaching assistant at the Department of Statistics, Mathematics and Insurance Faculty of Commerce Kafr El Sheikh University | ||
| 3Lecturer of Statistics, Mathematics and Insurance Faculty of Commerce, Kafr El Sheikh University | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Joint Type-I censored scheme; mixture Weibull distribution; and Maximum likelihood estimation | ||
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