Author(s):
1. Mohamed Ibrahim:
Department of Applied Statistics and Insurance, Faculty of Commerce, Damietta University, Egypt.
2. Haitham M. Yousof:
Department of Statistics, Mathematics and Insurance, Benha University, Egypt
Abstract:
In this work we focus on proposing a new lifetime Weibull type model called the transmuted Topp-Leone Weibull and studying its properties. We derive some new bivariate and multivariate transmuted Topp-Leone Weibull versions using “Farlie Gumbel Morgenstern (FGM) Copula”, “modified FGM Copula”, “Clayton Copula” and “Renyi's entropy Copula”. The estimation of its unknown parameters is carried out by considering different method of estimation. The statistical performances of all methods are studied by two real data sets and a numerical Monte Carlo simulation. The Cramer-Von Mises method is the best method for modeling the carbon fibers data. The maximum likelihood method is the best method for modeling the Leukemia data, however all other methods performed well.
Page(s):
501-515
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 3, Year: 2020
Keywords:
Weibull distribution
,
CramerVonMises
,
Farlie Gumbel Morgenstern
,
Least Square
,
ToppLeone
,
Likelihood Estimation
,
Bootstrapping
,
Weighted Least Square
,
Clayton Copula
References:
References are not available for this document.
Citations
Citations are not available for this document.