This article introduces a new lifetime distribution by merging the first two lower records based on exponential distribution and discusses the different features of the distribution. Statistical inferences about the distribution parameters are discussed with three estimation methods, namely maximum likelihood, least squares, and weighted least squares. Monte Carlo simulation study is performed to evaluate of these estimators based on mean square errors estimation, mean absolute deviation, and mean relative errors of estimation for a sample of different sizes. A distribution simulation analysis based on real data is provided to demonstrate the adaptability of the proposed model.
Primary Language | English |
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Subjects | Statistics |
Journal Section | Natural Sciences |
Authors | |
Publication Date | September 30, 2022 |
Submission Date | March 28, 2022 |
Acceptance Date | June 16, 2022 |
Published in Issue | Year 2022Volume: 43 Issue: 3 |