TY - JOUR
T1 - Extended Gompertz Distribution
T2 - Properties and Estimation under Complete and Censored Data
AU - Eliwa, M. S.
AU - Masoom Ali, M.
AU - El-Gohary, A.
AU - El-Desokey, R.
AU - Ibrahim, Mohamed
AU - El-Morshedy, M.
N1 - Publisher Copyright:
© 2022 NSP Natural Sciences Publishing Cor.
PY - 2022/9
Y1 - 2022/9
N2 - In this paper, a new flexible model with three-parameter alternative to exponential and Gompertz distributions is proposed. Some of its statistical properties are derived including quantities, moments, incomplete moments, moment of residual and reversed residual life. The parameters are estimated using the maximum likelihood method based on complete and Type II right censored data. We assess the performance of estimators in terms of bias and mean square error using simulation study. Finally, three real data sets are analyzed to illustrate the flexibility of the proposed model.
AB - In this paper, a new flexible model with three-parameter alternative to exponential and Gompertz distributions is proposed. Some of its statistical properties are derived including quantities, moments, incomplete moments, moment of residual and reversed residual life. The parameters are estimated using the maximum likelihood method based on complete and Type II right censored data. We assess the performance of estimators in terms of bias and mean square error using simulation study. Finally, three real data sets are analyzed to illustrate the flexibility of the proposed model.
KW - Censored samples
KW - Gompertz distribution
KW - Hazard rate function
KW - Maximum likelihood method
UR - https://www.scopus.com/pages/publications/85140392669
U2 - 10.18576/jsap/110328
DO - 10.18576/jsap/110328
M3 - Article
AN - SCOPUS:85140392669
SN - 2090-8423
VL - 11
SP - 1107
EP - 1121
JO - Journal of Statistics Applications and Probability
JF - Journal of Statistics Applications and Probability
IS - 3
ER -