Author(s):
1. Ahmed Z. Afify:
Department of Statistics, Mathematics and Insurance, Benha University, Egypt
2. M. El-Morshedy:
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Saudi Arabia; Mathematics Department, Faculty of Science, Mansoura University, Egypt
3. M. S. Eliwa:
Mathematics Department, Faculty of Science, Mansoura University, Egypt
Abstract:
In this paper, a new probability discrete distribution for analyzing over-dispersed count data encountered in biological sciences was proposed. The new discrete distribution, with one parameter, has a log-concave probability mass function and an increasing hazard rate function, for all choices of its parameter. Several properties of the proposed distribution including the mode, moments and index of dispersion, mean residual life, mean past life, order statistics and Lmoment statistics have been established. Two actuarial or risk measures were derived. The numerical computations for these measures are conducted for several parametric values of the model parameter. The parameter of the introduced distribution is estimated using eight frequentist estimation methods. Detailed Monte Carlo simulations are conducted to explore the performance of the studied estimators. The performance of the proposed distribution has been examined by three over-dispersed real data sets from biological sciences.
Page(s):
799-816
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 4, Year: 2021
Keywords:
Simulation
,
maximum likelihood
,
Mean residual life
,
Reliability
,
Risk measures
,
COVID19 data
,
Overdispersed data
References:
References are not available for this document.
Citations
Citations are not available for this document.