Research Article

A Two-Parameter Weighted Rama Distribution with Properties and Application

Volume: 2 Number: 2 June 28, 2019
Tesfalem Eyob , Rama Shanker *
EN

A Two-Parameter Weighted Rama Distribution with Properties and Application

Abstract

In this paper, a two-parameter weighted Rama distribution which includes one parameter Rama distribution introduced by Shanker [1] has been proposed for modelling real lifetime data. Statistical properties of the distribution including shapes of a probability density function, moments and moment related measures, hazard rate function, mean residual life function, and stochastic orderings have been discussed. The estimation of its parameters has been discussed using the method of maximum likelihood. Application of the proposed distribution has been discussed.

Keywords

Rama distribution,Moments,Hazard rate function,Mean residual life function,Stochastic ordering,Maximum likelihood estimation,Goodness of fit,Stochastic ordering

References

  1. [1] R. Shanker, Rama distribution and Its Application, Int. J. Stat. Appl., 7(1) (2017), 26-35.
  2. [2] R. A. Fisher, The effects of methods of ascertainment upon the estimation of frequencies, Ann. Eugenics, 6 (1934), 13 – 25.
  3. [3] C. R. Rao, On discrete distributions arising out of methods of ascertainment In: Patil, G.P.(eds) Classical and Contagious Discrete Distributions, Statistical Publishing Society, Calcutta, 1965, pp.320 – 332.
  4. [4] G. P. Patil, C. R. Rao, The Weighted distributions: A survey and their applications, In applications of Statistics (Ed P.R. Krishnaiah0, North Holland Publications Co., Amsterdam, 1977, pp.383 – 405.
  5. [5] G. P. Patil, C. R. Rao, Weighted distributions and size-biased sampling with applications to wild-life populations and human families, Biometrics, 34 (1978), 179 – 189.
  6. [6] R. D. Gupta, D. Kundu, Generalized exponential distribution, Aust. New Zealand J. Stat., 41(2) (1999), 173-188.
  7. [7] M. E. Ghitany, F. Alqallaf, D. K. Al-Mutairi, H. A. Husain, A two-parameter weighted Lindley distribution and its applications to survival data, Mat. Comput. Simulation, 81 (2011), 1190-1201
  8. [8] R. Shanker, K. K. Shukla, A Two-Parameter Weighted Sujatha Distribution and its application, Int. J. Appl. Math., 57(3) (2018), 106-121.
  9. [9] M. G. Bader, A. M. Priest, Statistical Aspects of Fiber and Bundle Strength in Hybrid Composites, In; T. Hayashi, K. Kawata, S. Umekawa, (Eds), Progress in Science in Engineering Composites, ICCM-IV, Tokyo, 1982, pp. 1129 – 1136.
  10. [10] M. Shaked, J. G. Shanthikumar, Stochastic Orders and Their Applications, Academic Press, New York, 1994.
APA
Eyob, T., & Shanker, R. (2019). A Two-Parameter Weighted Rama Distribution with Properties and Application. Universal Journal of Mathematics and Applications, 2(2), 48-58. https://doi.org/10.32323/ujma.421980
AMA
1.Eyob T, Shanker R. A Two-Parameter Weighted Rama Distribution with Properties and Application. Univ. J. Math. Appl. 2019;2(2):48-58. doi:10.32323/ujma.421980
Chicago
Eyob, Tesfalem, and Rama Shanker. 2019. “A Two-Parameter Weighted Rama Distribution With Properties and Application”. Universal Journal of Mathematics and Applications 2 (2): 48-58. https://doi.org/10.32323/ujma.421980.
EndNote
Eyob T, Shanker R (June 1, 2019) A Two-Parameter Weighted Rama Distribution with Properties and Application. Universal Journal of Mathematics and Applications 2 2 48–58.
IEEE
[1]T. Eyob and R. Shanker, “A Two-Parameter Weighted Rama Distribution with Properties and Application”, Univ. J. Math. Appl., vol. 2, no. 2, pp. 48–58, June 2019, doi: 10.32323/ujma.421980.
ISNAD
Eyob, Tesfalem - Shanker, Rama. “A Two-Parameter Weighted Rama Distribution With Properties and Application”. Universal Journal of Mathematics and Applications 2/2 (June 1, 2019): 48-58. https://doi.org/10.32323/ujma.421980.
JAMA
1.Eyob T, Shanker R. A Two-Parameter Weighted Rama Distribution with Properties and Application. Univ. J. Math. Appl. 2019;2:48–58.
MLA
Eyob, Tesfalem, and Rama Shanker. “A Two-Parameter Weighted Rama Distribution With Properties and Application”. Universal Journal of Mathematics and Applications, vol. 2, no. 2, June 2019, pp. 48-58, doi:10.32323/ujma.421980.
Vancouver
1.Tesfalem Eyob, Rama Shanker. A Two-Parameter Weighted Rama Distribution with Properties and Application. Univ. J. Math. Appl. 2019 Jun. 1;2(2):48-5. doi:10.32323/ujma.421980