Odds Exponential Log Logistic Distribution: Properties and Estimation
| Autor: | K. Kalyani, Gadde Srinivasa Rao, Rosaiah Kanaparthi, D.C.U. Sivakumar |
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| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
Exponential distribution Logistic distribution General Mathematics 05 social sciences Log-Cauchy distribution 02 engineering and technology Laplace distribution Exponential family 0502 economics and business Statistics 0202 electrical engineering electronic engineering information engineering Log-logistic distribution Gamma distribution 020201 artificial intelligence & image processing Natural exponential family 050203 business & management Mathematics |
| Zdroj: | Journal of Mathematics and Statistics. 13:14-23 |
| ISSN: | 1549-3644 |
| DOI: | 10.3844/jmssp.2017.14.23 |
| Popis: | We propose a distribution called Odds Exponential Log Logistic Distribution (OELLD), which is an odds family of distribution. Its hazard rate is an increasing and decreasing function based on the value of the parameter. Explicit expressions for the ordinary moments, L-moments, quantile, generating functions, Bonferroni Curve, Lorenz Curve, Gini's index and order statistics are derived. The parameters of the proposed distribution are estimated by using maximum likelihood method and also illustrated by a lifetime data set. |
| Databáze: | OpenAIRE |
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