The McDonald inverted beta distribution
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
31/10/2013
31/10/2013
2012
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| Resumo |
We introduce a five-parameter continuous model, called the McDonald inverted beta distribution, to extend the two-parameter inverted beta distribution and provide new four- and three-parameter sub-models. We give a mathematical treatment of the new distribution including expansions for the density function, moments, generating and quantile functions, mean deviations, entropy and reliability. The model parameters are estimated by maximum likelihood and the observed information matrix is derived. An application of the new model to real data shows that it can give consistently a better fit than other important lifetime models. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. CNPq (Brazil) CNPq (Brazil) FAPESP (Brazil) FAPESP (Brazil) |
| Identificador |
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, OXFORD, v. 349, n. 3, supl. 1, Part 2, pp. 1174-1197, APR, 2012 0016-0032 http://www.producao.usp.br/handle/BDPI/36999 10.1016/j.jfranklin.2012.01.006 |
| Idioma(s) |
eng |
| Publicador |
PERGAMON-ELSEVIER SCIENCE LTD OXFORD |
| Relação |
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS |
| Direitos |
closedAccess Copyright PERGAMON-ELSEVIER SCIENCE LTD |
| Palavras-Chave | #EXPONENTIATED WEIBULL FAMILY #GENERALIZED DISTRIBUTIONS #ORDER-STATISTICS #PROBABILITY #MOMENT #AUTOMATION & CONTROL SYSTEMS #ENGINEERING, MULTIDISCIPLINARY #ENGINEERING, ELECTRICAL & ELECTRONIC #MATHEMATICS, INTERDISCIPLINARY APPLICATIONS |
| Tipo |
article original article publishedVersion |
