The Adjusted Log-logistic Generalized Exponential Distribution with Application to Lifetime Data
| Autor: | Chris U. Onyemachi, D. C. Chikezie, Eunice Oluchi Obi, Idika E. Okorie, Johnson Ohakwe, A. C. Akpanta |
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| Rok vydání: | 2017 |
| Předmět: |
010104 statistics & probability
Exponential-logarithmic distribution Exponential distribution Generalized beta distribution Log-Cauchy distribution Statistics Gamma distribution Generalized integer gamma distribution 0101 mathematics Compound probability distribution 01 natural sciences Distribution fitting Mathematics |
| Zdroj: | International Journal of Statistics and Probability. 5:1 |
| ISSN: | 1927-7040 1927-7032 |
| Popis: | This paper introduces a new generator of probability distribution-the adjusted log-logistic generalized (ALLoG) distribution and a new extension of the standard one parameter exponential distribution called the adjusted log-logistic generalized exponential (ALLoGExp) distribution. The ALLoGExp distribution is a special case of the ALLoG distribution and we have provided some of its statistical and reliability properties. Notably, the failure rate could be monotonically decreasing, increasing or upside-down bathtub shaped depending on the value of the parameters $\delta$ and $\theta$. The method of maximum likelihood estimation was proposed to estimate the model parameters. The importance and flexibility of he ALLoGExp distribution was demonstrated with a real and uncensored lifetime data set and its fit was compared with five other exponential related distributions. The results obtained from the model fittings shows that the ALLoGExp distribution provides a reasonably better fit than the one based on the other fitted distributions. The ALLoGExp distribution is therefore ecommended for effective modelling of lifetime data sets. |
| Databáze: | OpenAIRE |
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