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Year 2019, , 48 - 58, 28.06.2019
https://doi.org/10.32323/ujma.421980

Abstract

References

  • [1] R. Shanker, Rama distribution and Its Application, Int. J. Stat. Appl., 7(1) (2017), 26-35.
  • [2] R. A. Fisher, The effects of methods of ascertainment upon the estimation of frequencies, Ann. Eugenics, 6 (1934), 13 – 25.
  • [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] 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] 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] R. D. Gupta, D. Kundu, Generalized exponential distribution, Aust. New Zealand J. Stat., 41(2) (1999), 173-188.
  • [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] R. Shanker, K. K. Shukla, A Two-Parameter Weighted Sujatha Distribution and its application, Int. J. Appl. Math., 57(3) (2018), 106-121.
  • [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] M. Shaked, J. G. Shanthikumar, Stochastic Orders and Their Applications, Academic Press, New York, 1994.
  • [11] M. E. Ghitany, B. Atieh, S. Nadarajah, Lindley distribution and its Application, Mat. Comput. Simulation, 78 (2008), 493 – 506
  • [12] D. V. Lindley, Fiducial distributions and Bayes’ theorem, J. Royal Stat. Soc., Series B, 20 (1958), 102- 107.
  • [13] R. Shanker, F. Hagos, S. Sujatha, On modeling of Lifetimes data using exponential and Lindley distributions, Biometrics Biostat. Int. J., 2(5) (2015), 1-9.

A Two-Parameter Weighted Rama Distribution with Properties and Application

Year 2019, , 48 - 58, 28.06.2019
https://doi.org/10.32323/ujma.421980

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.

References

  • [1] R. Shanker, Rama distribution and Its Application, Int. J. Stat. Appl., 7(1) (2017), 26-35.
  • [2] R. A. Fisher, The effects of methods of ascertainment upon the estimation of frequencies, Ann. Eugenics, 6 (1934), 13 – 25.
  • [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] 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] 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] R. D. Gupta, D. Kundu, Generalized exponential distribution, Aust. New Zealand J. Stat., 41(2) (1999), 173-188.
  • [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] R. Shanker, K. K. Shukla, A Two-Parameter Weighted Sujatha Distribution and its application, Int. J. Appl. Math., 57(3) (2018), 106-121.
  • [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] M. Shaked, J. G. Shanthikumar, Stochastic Orders and Their Applications, Academic Press, New York, 1994.
  • [11] M. E. Ghitany, B. Atieh, S. Nadarajah, Lindley distribution and its Application, Mat. Comput. Simulation, 78 (2008), 493 – 506
  • [12] D. V. Lindley, Fiducial distributions and Bayes’ theorem, J. Royal Stat. Soc., Series B, 20 (1958), 102- 107.
  • [13] R. Shanker, F. Hagos, S. Sujatha, On modeling of Lifetimes data using exponential and Lindley distributions, Biometrics Biostat. Int. J., 2(5) (2015), 1-9.
There are 13 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Tesfalem Eyob This is me

Rama Shanker

Publication Date June 28, 2019
Submission Date May 8, 2018
Acceptance Date November 29, 2018
Published in Issue Year 2019

Cite

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 Eyob T, Shanker R. A Two-Parameter Weighted Rama Distribution with Properties and Application. Univ. J. Math. Appl. June 2019;2(2):48-58. doi:10.32323/ujma.421980
Chicago Eyob, Tesfalem, and Rama Shanker. “A Two-Parameter Weighted Rama Distribution With Properties and Application”. Universal Journal of Mathematics and Applications 2, no. 2 (June 2019): 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 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, 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 2019), 48-58. https://doi.org/10.32323/ujma.421980.
JAMA 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, 2019, pp. 48-58, doi:10.32323/ujma.421980.
Vancouver Eyob T, Shanker R. A Two-Parameter Weighted Rama Distribution with Properties and Application. Univ. J. Math. Appl. 2019;2(2):48-5.

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