TY - JOUR
T1 - The gamma-normal distribution
T2 - Properties and applications
AU - Alzaatreh, Ayman
AU - Famoye, Felix
AU - Lee, Carl
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - Estimation
KW - Hazard function
KW - Moments
KW - T-X distributions
UR - http://www.scopus.com/inward/record.url?scp=84882959047&partnerID=8YFLogxK
U2 - 10.1016/j.csda.2013.07.035
DO - 10.1016/j.csda.2013.07.035
M3 - Article
AN - SCOPUS:84882959047
VL - 69
SP - 67
EP - 80
JO - Computational Statistics and Data Analysis
JF - Computational Statistics and Data Analysis
SN - 0167-9473
ER -