A TWO-PARAMETER SUJA DISTRIBUTION AND ITS APPLICATION
Keywords:
Estimation of parameter, Stress-strength reliability, Bonferroni and Lorenz Curves, Mean residual life function, Hazard rate function, Moments, Suja distributionAbstract
This paper proposes a two-parameter Suja distribution (TPSD). This originated from the Lindley and Suja distribution. The mathematical and statistical properties which includes its moments, survival function, hazard rate function, mean residual life
function, stochastic ordering, entropy measure, Bonferroni and Lorenz curves were all calculated. The parameters of the distribution were estimated using the method of maximum likelihood. Also, HQIC, BIC, CAIC, AIC, and K-S were used to test for the goodness of fit of the model using a real data set of patients suffering from cancer. The two-parameter Suja distribution was compared with Suja (one parameter Suja) and Rama distributions and the study found out that the two parameter Suja is superior to the other two distributions.
Downloads
References
Ghitany, M.E., Atieh, B. and Nadarajah, S. (2008), Lindley distribution and its applications Mathematics computing and simulation, 78(1): 493-506.
Shanker, R. (2017): Suja distribution and its Application, International Journal of Probability and Statistics, 6(2): 11-19.
Shaked, M. and Shanthikumar, J.G. (1994): Stochastic Orders and Their Applications, Academic Press, New York.
Pokalas, Uchendu, Chisimkwuo and Ohakwe Trans. Of NAMP Rényi,A (1961): On measure of entropy and information, in: Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability 1, University of California Press, Berkeley 4 (1961), 547-561.
Bonferroni, C.E. (1930): Elementi di Statistca generale, Seeber, Firenze. Lee , E.T and Wang, J.W (2003): Statistical method for survival data analysis. Wiley, New York, 3 rd edition.
Shanker, R. (2017): Rama distribution and its Application, International Journal of Statistics and Applications, 7(1): 26-35.
Downloads
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-ShareAlike 4.0 International License.
