A complementary generalized linear failure rate-geometric distribution
| Autor: | S. Shams Harandi, Mohammad Hossein Alamatsaz |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Exponential-logarithmic distribution 021103 operations research Half-normal distribution Exponential distribution Log-Cauchy distribution 0211 other engineering and technologies 02 engineering and technology Geometric distribution 01 natural sciences Variance-gamma distribution 010104 statistics & probability Modeling and Simulation Statistics Log-logistic distribution Generalized integer gamma distribution 0101 mathematics Mathematics |
| Zdroj: | Communications in Statistics - Simulation and Computation. 46:679-703 |
| ISSN: | 1532-4141 0361-0918 |
| DOI: | 10.1080/03610918.2014.950744 |
| Popis: | In this article, we shall attempt to introduce a new class of lifetime distributions, which enfolds several known distributions such as the generalized linear failure rate distribution and covers both positive as well as negative skewed data. This new four-parameter distribution allows for flexible hazard rate behavior. Indeed, the hazard rate function here can be increasing, decreasing, bathtub-shaped, or upside-down bathtub-shaped. We shall first study some basic distributional properties of the new model such as the cumulative distribution function, the density of the order statistics, their moments, and Renyi entropy. Estimation of the stress-strength parameter as an important reliability property is also studied. The maximum likelihood estimation procedure for complete and censored data and Bayesian method are used for estimating the parameters involved. Finally, application of the new model to three real datasets is illustrated to show the flexibility and potential of the new model compared ... |
| Databáze: | OpenAIRE |
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