Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638056 | Journal of Computational and Applied Mathematics | 2016 | 21 Pages |
Abstract
We propose a new four-parameter family of distributions by compounding the generalized gamma and power series distributions. The compounding procedure is based on the work by Marshall and Olkin (1997) and defines 76 sub-models. Further, it includes as special models the Weibull power series and exponential power series distributions. Some mathematical properties of the new family are studied including moments and generating function. Three special models are investigated in detail. Maximum likelihood estimation of the unknown parameters for complete sample is discussed. Two applications of the new models to real data are performed for illustrative purposes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rodrigo B. Silva, Marcelo Bourguignon, Gauss M. Cordeiro,