Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 2 Sayı: 2, 48 - 58, 28.06.2019
https://doi.org/10.32323/ujma.421980

Öz

Kaynakça

  • [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

Yıl 2019, Cilt: 2 Sayı: 2, 48 - 58, 28.06.2019
https://doi.org/10.32323/ujma.421980

Öz

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.

Kaynakça

  • [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.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Tesfalem Eyob Bu kişi benim

Rama Shanker

Yayımlanma Tarihi 28 Haziran 2019
Gönderilme Tarihi 8 Mayıs 2018
Kabul Tarihi 29 Kasım 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 2

Kaynak Göster

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. Haziran 2019;2(2):48-58. doi:10.32323/ujma.421980
Chicago Eyob, Tesfalem, ve Rama Shanker. “A Two-Parameter Weighted Rama Distribution With Properties and Application”. Universal Journal of Mathematics and Applications 2, sy. 2 (Haziran 2019): 48-58. https://doi.org/10.32323/ujma.421980.
EndNote Eyob T, Shanker R (01 Haziran 2019) A Two-Parameter Weighted Rama Distribution with Properties and Application. Universal Journal of Mathematics and Applications 2 2 48–58.
IEEE T. Eyob ve R. Shanker, “A Two-Parameter Weighted Rama Distribution with Properties and Application”, Univ. J. Math. Appl., c. 2, sy. 2, ss. 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 (Haziran 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 ve Rama Shanker. “A Two-Parameter Weighted Rama Distribution With Properties and Application”. Universal Journal of Mathematics and Applications, c. 2, sy. 2, 2019, ss. 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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