STATISTICAL PROPERTIES AND APPLICATION OF THE EXPONENTIAL DAGUM LOG-LOGISTIC DISTRIBUTION
DOI:
https://doi.org/10.60787/tnamp-19-39-52Keywords:
Exponential Dagum Log-Logistic distribution, Statistical properties, Lifetime data, Maximum Likelihood estimationAbstract
In this paper, we propose a new distribution from the T-R{Y} family of distributions called the Exponential Dagum Log-logistic (EXDAL) distribution. The statistical properties of the proposed distribution are carefully discussed. The maximum likelihood method of parameter estimation is employed for the estimates of the parameters of the proposed distribution. The flexibility of the proposed distribution is demonstrated using a real life dataset. Result from the application of the proposed distribution reveals that it performs better than the Dagum and Log Logistics distribution in fitting real life dataset.
Downloads
References
Rahardja, D, Wu, H, Zang, Z and Tiedt, A.D. (2019). Maximum likelihood estimation for the proportion difference of two-sample binomial data subject to one type of misclassification. Journal of Statistics and Management Systems, 22:8, 1365-1379, DOI: 10.1080/09720510.2019.1606319.
Turkey, J.W. (1960). In The Practical Relationship Between the Common Transformations of Percentages of Counts and Amounts. Princeton University, Princeton, NJ, StatisticalTechniques Research Group.
Ramberg, J. S. and Schmeiser, B. W. (1972). An approximate method for generating symmetric random variables. Commun. ACM 15(1), 987-190.
Ramberg, J. S. and Schmeiser, B. W. (1974). An approximate method for generating asymmetric random variables. Commun. ACM 17(2), 78-82.
Dagum, C (1977). A new model of personal income distribution: Specification and Estimation. EconomieAppliquee, 30, 413-436.
Kleiber, C. and Kotz, S. (2003). Statistical size distribution in economics and actuarial sciences. John Wiley and Sons.
Oluyede, B. O., Motsewabagale, G., Huang, S., and Pararai, M. (2016). The Dagum-Poisson distribution: model, properties and application. Electronic Journal of AppliedStatistical Analysis, 9(1):169–197.
Oluyede, B. O. and Rajasooriya, S. (2013). The Mc-Dagum distribution and itsstatistical properties with applications. Asian Journal of Mathematics and Applications, 44:1–16.
Elbatal, I. and Aryal, G. (2015). Transmuted Dagum distribution with applications.Chilean Journal of Statistics, 6(2):31–45.
Domma, F. and Perri, P. F. (2009). Some developments on the log-Dagumdistribution. Statistical Methods and Applications, 18:205–209.
Domma, F and Condino, F (2013). The Beta-Dagum Distribution: Definition andProperties. Communication in Statistics – Theory and Methods, 42 (22). DOI:10.1080/03610926.2011.647219
Nasiru, S Mwita, P. N. and Ngesa, O (2019). Exponentiated generalized exponentialdagum distribution. Journal of King Saud University-Science, 31 (3), 362-371.
Gupta, R. D. and Kundu, D. (1998). Generalized exponential distributions.Australian & New Zealand Journal of Statistics, 41(2), 173-188.
Kus, C. (2007). A new lifetime distribution. Computational Statistics and DataAnalysis, 51, 4497-4509.
Adamidis, K., &Loukas, S. (1998). A lifetime distribution with decreasing failure rate. Statistics and Probability Letters, 39, 35-42.
Tahmasbi, R., &Rezaei, S. (2008). A two-parameter lifetime distribution withdecreasing failure rate. Computational Statistics and Data Analysis, 54, 34-42.
Lima, S. R and Cordeiro, G. M (2017). The Extended Log – Logistic Distribution:Properties and Application. Anais da Academia Brasileira de Ciencias 89(1):3-17
Gui, W (2013). Marshal – Olkin Extended Log – logistic Distribution and its application in Minification Processes. Applied Mathematical Sciences,7(80), 3947-3961.
Proschan, F (1963). Theoretical Explanation of Observed Decreasing Failure Rate.Technometrics, 5(3), 375-385.
Published
Issue
Section
License
Copyright (c) 2024 The Transactions of the Nigerian Association of Mathematical Physics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.