Abstract
In this paper, some properties of gamma-X family are discussed and a member of the family, the gamma-normal distribution, is studied in detail. The limiting behaviors, moments, mean deviations, dispersion, and Shannon entropy for the gamma-normal distribution are provided. Bounds for the non-central moments are obtained. The method of maximum likelihood estimation is proposed for estimating the parameters of the gamma-normal distribution. Two real data sets are used to illustrate the applications of the gamma-normal distribution.
Original language | English |
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Pages (from-to) | 67-80 |
Number of pages | 14 |
Journal | Computational Statistics and Data Analysis |
Volume | 69 |
DOIs | |
Publication status | Published - Jan 1 2014 |
Keywords
- Estimation
- Hazard function
- Moments
- T-X distributions
ASJC Scopus subject areas
- Statistics and Probability
- Computational Mathematics
- Computational Theory and Mathematics
- Applied Mathematics