Chen is suggested a two-parameter distribution. This distribution can have increasing failure rate function or a bathtub-shaped that allows it to fit real lifetime data sets. The ML (Maximum Likelihood) and Bayes estimates of the parameters of Chen’s distribution are constituted in this paper. The approximate values of Bayesian estimates are obtained by using the Tierney-Kadane approach. Two-parameter bathtub-shaped distribution's estimations are derived using Jeffrey's extension prior under General entropy, Squared and Linex loss functions. Besides, performances of ML and Bayes estimates are compared concerning MSE's (Mean Square Error) by using Monte Carlo simulation. As a result, it has been seen that approximate Bayes estimates obtained under linex loss function are better than others. Moreover, real data analysis for his distribution is presented.
Maximum Likelihood Estimation Loss Functions Bayes Estimation Tierney Kadane's Approximation
Primary Language | English |
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Subjects | Statistics |
Journal Section | Natural Sciences |
Authors | |
Publication Date | September 30, 2020 |
Submission Date | January 29, 2020 |
Acceptance Date | July 1, 2020 |
Published in Issue | Year 2020Volume: 41 Issue: 3 |