Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 2 Sayı: 1, 1 - 13, 20.04.2019
https://doi.org/10.33187/jmsm.416628

Öz

Kaynakça

  • [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.

Another Two-Parameter Sujatha Distribution with Properties and Applications

Yıl 2019, Cilt: 2 Sayı: 1, 1 - 13, 20.04.2019
https://doi.org/10.33187/jmsm.416628

Öz

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.

Kaynakça

  • [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.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Rama Shanker

Mussie Tesfay Bu kişi benim

Yayımlanma Tarihi 20 Nisan 2019
Gönderilme Tarihi 18 Nisan 2018
Kabul Tarihi 29 Kasım 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 1

Kaynak Göster

APA Shanker, R., & Tesfay, M. (2019). Another Two-Parameter Sujatha Distribution with Properties and Applications. Journal of Mathematical Sciences and Modelling, 2(1), 1-13. https://doi.org/10.33187/jmsm.416628
AMA Shanker R, Tesfay M. Another Two-Parameter Sujatha Distribution with Properties and Applications. Journal of Mathematical Sciences and Modelling. Nisan 2019;2(1):1-13. doi:10.33187/jmsm.416628
Chicago Shanker, Rama, ve Mussie Tesfay. “Another Two-Parameter Sujatha Distribution With Properties and Applications”. Journal of Mathematical Sciences and Modelling 2, sy. 1 (Nisan 2019): 1-13. https://doi.org/10.33187/jmsm.416628.
EndNote Shanker R, Tesfay M (01 Nisan 2019) Another Two-Parameter Sujatha Distribution with Properties and Applications. Journal of Mathematical Sciences and Modelling 2 1 1–13.
IEEE R. Shanker ve M. Tesfay, “Another Two-Parameter Sujatha Distribution with Properties and Applications”, Journal of Mathematical Sciences and Modelling, c. 2, sy. 1, ss. 1–13, 2019, doi: 10.33187/jmsm.416628.
ISNAD Shanker, Rama - Tesfay, Mussie. “Another Two-Parameter Sujatha Distribution With Properties and Applications”. Journal of Mathematical Sciences and Modelling 2/1 (Nisan 2019), 1-13. https://doi.org/10.33187/jmsm.416628.
JAMA Shanker R, Tesfay M. Another Two-Parameter Sujatha Distribution with Properties and Applications. Journal of Mathematical Sciences and Modelling. 2019;2:1–13.
MLA Shanker, Rama ve Mussie Tesfay. “Another Two-Parameter Sujatha Distribution With Properties and Applications”. Journal of Mathematical Sciences and Modelling, c. 2, sy. 1, 2019, ss. 1-13, doi:10.33187/jmsm.416628.
Vancouver Shanker R, Tesfay M. Another Two-Parameter Sujatha Distribution with Properties and Applications. Journal of Mathematical Sciences and Modelling. 2019;2(1):1-13.

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