Volume 12, Issue 1, May 2013, Pages 39 - 54
A New Lifetime Model: The Gamma Extended Fréchet Distribution
Ronaldo V. da Silva, Thiago A.N. de Andrade, Diego B.M. Maciel, Renilma P. S. Campos, Gauss M. Cordeiro
Ronaldo V. da Silva
Received 14 January 2012, Accepted 11 September 2012, Available Online 1 May 2013.
- https://doi.org/10.2991/jsta.2013.12.1.4How to use a DOI?
- Fréchet distribution; gamma extended Fr´echet distribution; maximum likelihood; observed information matrix; Weibull distribution.Keywords: Extreme values theory; Asymptotic distribution; Functional Gaussian and nongaussian laws; Uniform entropy numbers; Asymptotic tightness, Stochastic process of
- For the first time, a four-parameter lifetime model, called the gamma extended Fr´echet distribution, is defined and studied. We obtain some of its mathematical properties. Explicit expressions for the ordinary and incomplete moments, quantile function, mean deviations, R´enyi entropy and reliability are provided. The order statistics and their moments are derived. The method of maximum likelihood is used for estimating the model parameters.We determine the observed information matrix. An application to a real data set shows that the new distribution can provide a better fit than other classical lifetime models. We hope that this generalization may attract wider applications in reliability, biology and survival analysis.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - Ronaldo V. da Silva AU - Thiago A.N. de Andrade AU - Diego B.M. Maciel AU - Renilma P. S. Campos AU - Gauss M. Cordeiro PY - 2013 DA - 2013/05 TI - A New Lifetime Model: The Gamma Extended Fréchet Distribution JO - Journal of Statistical Theory and Applications SP - 39 EP - 54 VL - 12 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2013.12.1.4 DO - https://doi.org/10.2991/jsta.2013.12.1.4 ID - Silva2013 ER -