Another Two-Parameter Sujatha Distribution with Properties and Applications

Year 2019, , 1 - 13, 20.04.2019

Rama Shanker , Mussie Tesfay

https://doi.org/10.33187/jmsm.416628

Cited By: 2

Abstract

In this paper another two-parameter Sujatha distribution (ATPSD), which includes exponential distribution and Sujatha distribution as particular cases, has been proposed. Statistical properties including shapes for varying values of parameters, moments, coefficient of variation, skewness, kurtosis, index of dispersion, hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability of ATPSD have been discussed. The method of moment estimation and the method of maximum likelihood estimation have been discussed for estimating its parameters. Finally, applications of ATPSD have been discussed with two real lifetime datasets.

Keywords

Sujatha distribution, Exponential distribution, Statistical properties, Estimation of parameters, Applications, Moments, Sujatha distribution

References

• [1] D. V. Lindley, Fiducial distributions and Bayes’ theorem, J. R. Stat. Soc. Ser. BStat. Methodol., 20 (1958), 102–107.
• [2] M. E., Ghitany, B. Atieh, S. Nadarajah, Lindley distribution and its Application, Math. Comput. Simulation, 78 (2008), 493–506.
• [3] R. Shanker, F. Hagos, On modeling of life times data using exponential and Lindley distribution, Biometrics Biostat. Internat. J., 2(4) (2015), 1–5.
• [4] R. Shanker, Sujatha distribution and its applications, Statist. Transition New Ser., 17(3) (2016), 1–20.
• [5] R. Shanker, The discrete Poisson-Sujatha distribution, Internat. J. Probab. Stat., 5(1) (2016), 1–9.
• [6] R. Shanker, F.Hagos, Zero-Truncated Poisson-Sujatha distribution with Applications, J.Ethiopian Statist. Assoc., 24 (2015), 55–63.
• [7] R. Shanker, F. Hagos, Size- biased Poisson-Sujatha distribution with Applications, Amer. J. Math. Statist., 6(4) 2016, 145-154.
• [8] R. Shanker, Aquasi Sujatha distribution, Internat. J. Probab. Stat., 5(4) (2016), 89–100.
• [9] T. Mussie, R.Shanker, A two-Parameter Sujatha distribution, Biometrics Biostat. Internat. J., 7 (3) (2018), 188–197.
• [10] T. Mussie, R. Shanker, A New two-Parameter Sujatha distribution with properties and applications ,Türkiye Klinikleri J. Biostat., 10 (2) (2018), 96–113.
• [11] R. Shanker, Akash distribution and its Applications, Internat. J. Probab. Stat., 4(3) (2015), 65–75.
• [12] M. Shaked, J. G. Shanthikumar, Stochastic Orders and Their Applications, Academic Press, New York, 1994.
• [13] C. E. Bonferroni, Elementidi Statistcagenerale, Seeber, Firenze, 1930.
• [14] A. J. Gross, V. A Clark, Survival Distributions: Reliability Applications in the Biometrical Sciences, John Wiley, New York, 1975.
• [15] J. F., Lawless, Statistical Models and Methods for Life time data,John Wiley and Sons, New York, 2003.