A New Member from the T − X Family of Distributions: the Gumbel-Burr XII Distribution and Its Properties
| Autor: | Sunday M. Ogbonmwan, Francis O. Oyegue, Patrick Osatohanmwen |
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| Rok vydání: | 2017 |
| Předmět: |
0301 basic medicine
Statistics and Probability Anderson–Darling test Burr distribution Type-1 Gumbel distribution 01 natural sciences Distribution fitting Ratio distribution 010104 statistics & probability 03 medical and health sciences 030104 developmental biology Gumbel distribution Statistics Log-logistic distribution Generalized extreme value distribution Applied mathematics 0101 mathematics Statistics Probability and Uncertainty Mathematics |
| Zdroj: | Sankhya A. 81:298-322 |
| ISSN: | 0976-8378 0976-836X |
| DOI: | 10.1007/s13171-017-0110-x |
| Popis: | A new member from the T − X family of distribution called the Gumbel-Burr XII (GUBXII) distribution is introduced. This was realized by adopting the logit transformation of the cumulative distribution function of the Burr XII random variable, while taking the Gumbel distribution as the generator. An account of some mathematical properties of the new distribution including the maximum likelihood estimation of its parameters is presented. A real data set is further used to test the applicability of the new distribution. |
| Databáze: | OpenAIRE |
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