Abstract
A new family of distributions called exponentiated half-logistic Odd Burr III-G (EHL-OBIII-G) is developed and studied. Mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Renyi entropy and stochastic orders are derived. The model parameters are estimated based on the maximum likelihood estimation method. The usefulness of the proposed family of distributions is demonstrated via extensive simulation studies. Finally the proposed model and its special case is applied to real data sets to illustrate its best fit and flexibility.
Publisher
Pakistan Journal of Statistics and Operation Research
Subject
Management Science and Operations Research,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability
Reference28 articles.
1. Afify, A. Z., Altun, E., Alizadeh, M., Ozel, G., and Hamedani, G. (2017). The odd exponentiated half-logistic-g family: Properties, characterizations and applications. Chilean Journal of Statistics (ChJS), 8(2).
2. Alizadeh, M., Cordeiro, G., Nascimento, A., Lima, M., and Ortega, E. (2017a). Odd-burr generalized family of distributions with some applications. Journal of Statistical Computation and Simulation, 87:367–389.
3. Alizadeh, M., MirMostafee, S., Ortega, E. M., Ramires, T. G., and Cordeiro, G. M. (2017b). The odd loglogistic logarithmic generated family of distributions with applications in different areas. Journal of Statistical Distributions and Applications, 4(1):6.
4. Alzaatreh, A., Lee, C., and Famoye, F. (2013). A new method for generating families of continuous distributions. Metron, 71(1):63–79.
5. Barreto-Souza, W., Santos, A. H., and Cordeiro, G. M. (2010). The beta generalized exponential distribution. Journal of Statistical Computation and Simulation, 80(2):159–172.
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