Author(s):
1. Hafida Goual:
Laboratory of Probability and Statistics, University of Badji Mokhtar, Annaba, Algeria
2. Haitham M. Yousof:
Department of Statistics, Mathematics and Insurance, Benha University, Egypt
3. M. Masoom Ali:
Department of Mathematical Sciences Ball State University, Muncie, Indiana 47306 USA
Abstract:
This paper, we firstly introduse a new extension of the exponentiated exponential distribution along with suffcient set of its mathematical properties. Secondly, we construct a modified Chi-squared goodness-of- t test based on the Nikulin-Rao-Robson statistic in presence of censored and complete data. We describe the theory and the mechanism of the Yn2 statistic test which can be used in survival and reliability data analysis. We use the maximum likelihood estimators based on the initial non grouped data sets. Then, we conduct numerical simulations to reinforce the results. For showing the applicability of our model in various elds, we illustrate it and the proposed test by applications to two real data sets for complete data case and two other data sets in the presence of right censored.
Page(s):
745-771
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 3, Year: 2019
Keywords:
Simulation
,
maximum likelihood
,
exponential distribution
,
Censored data
,
NikulinRaoRobson
,
Goodnessof t
,
Right Censoring
References:
References are not available for this document.
Citations
Citations are not available for this document.