STATISTICAL PROPERTIES AND APPLICATIONS OF THE EXPONENTIATED INVERSE KUMARASWAMY DISTRIBUTION
Keywords:
Inverse Kumaraswamy, Exponentiated Inverse Kumaraswamy distribution, Statistical properties and Maximum Likelihood EstimationAbstract
This manuscript proposes the new Exponentiated Inverse Kumaraswamy distribution. We have studied some statistical properties of this distribution. The maximum likelihood procedure is employed to calculate the parameters. At last, two real life problems are used for illustration which confirm that the proposed model can be used well in ascertaining real data.
Downloads
References
Abd AL-Fattah, M., EL-Helbawy, A.A. and. AL-Dayian, G.R (2017). Inverted Kumaraswamy distribution properties and estimation, Pakistan Journal of Statistics, 33(1), p. 37-61.
Fatima, K., Ahmad, S. P., Chishti, T. A. (2017). a generalization of minimax distribution, International Journal of Statistics and Mathematics, 4(1), p. 082- 098.
Flaih, A., Elsalloukh, H., Mendi, E. and Milanova, M. (2012). The Exponentiated inverted Weibull distribution, Applied Mathematics and Information Sciences, 6(2), p. 167-171.
Ghitany, M. E., Atieh, B. and Nadarajah, S. (2008). Lindley distribution and its application, Mathematics and Computers in Simulation, 78 (4), p. 493-506.
Jones, M.C. (2009). Kumaraswamy’s distribution, A β-type distribution with some tractability advantages, Statistical Methodolody, 6, p. 70-81.
Fatima, K. and Ahmad, S. P. (2017). The Exponentiated Inverted Exponential Distribution, Journal of Applied Information Science, 5 (1), p. 35-41.
Kumaraswamy, P. (1980). A generalized probability density functions for double-bounded random processes, Journal of Hydrology, 46, 79–88.
Lemonte, A. J. and Cordeiro, G. M. (2011). The exponentiated generalized inverse Gaussian distribution, Statistics and Probability Letters, 81(4), p. 506- 517.
Mudholkar, G. S., Srivastava, D. K. and Freimer, M. (1995). The exponentiated Weibull family: a reanalysis of the bus-motor-failure data, Technometrics, 37, p. 436-445.
Nassar, M. M. and Nada N. K. (2011). The beta generalized Pareto Distribution, Journal of Statistics: Advances in Theory Application, 6 (1), p.1- 17.
Oguntunde, P. E., Adejumo, A. O., Okagbue, H. I. and Rastogi, M. K. (2016). Statistical properties and applications of a new Lindley exponential distribution, Gazi University Journal of Science, 29(4), p. 831-838.
Oguntunde, P. E., Owoloko, E. A. and Balogun, O. S. (2016). On a new weighted exponential distribution: Theory and Application, Asian Journal of Applied Sciences, 9 (1), p.1-12.
