| Autor: |
M.H. Tahir, Muhammad Mansoor, Muhammad Zubair, G.G. Hamedani |
| Jazyk: |
angličtina |
| Rok vydání: |
2014 |
| Předmět: |
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| Zdroj: |
Journal of Statistical Theory and Applications (JSTA), Vol 13, Iss 1 (2014) |
| Druh dokumentu: |
article |
| ISSN: |
1538-7887 |
| DOI: |
10.2991/jsta.2014.13.1.6 |
| Popis: |
We introduce a five-parameter continuous model, called the McDonald log-logistic distribution, to extend the two-parameter log-logistic distribution. Some structural properties of this new distribution such as reliability measures and entropies are obtained. The model parameters are estimated by the method of maximum likelihood using L-BFGS-B algorithm. A useful characterization of the distribution is proposed which does not require explicit closed form of the cumulative distribution function and also connects the probability density function with a solution of a first order differential equation. An application of the new model to real data set shows that it can give consistently better fit than other important lifetime models. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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