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Bivariate Weibull-power series class of distributions

Year 2017, Volume: 46 Issue: 6 , 1175 - 1186 , 01.12.2017
https://izlik.org/JA45LK76HX

Abstract

We point out that some of the results in Kundu and Gupta [3] in otherwise an excellent paper are incorrect. We propose a more general class of distributions and illustrate its use with two real data sets.

References

  • Akaike, H. A new look at the statistical model identification, IEEE Transactions on Automatic Control 19, 716-723, 1974.
  • Crowder, M.J., Kimber, A., Sweeting, T. and Smith, R. Statistical Analysis of Reliability Data, Chapman and Hall, London, 1994.
  • Kundu, D. and Gupta, A.K. On bivariate Weibull-geometric distribution, Journal of Multivariate Analysis 123, 19-29, 2014.
  • Marshall, A.W. and Olkin, I. A multivariate exponential distribution, Journal of the American Statistical Association 62, 30-44, 1967.
  • Marshall, A.W. and Olkin, I. A new method of adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika 84, 641-652, 1997.
  • R Development Core Team. A Language and Environment for Statistical Computing, R Foundation for Statistical Computing. Vienna, Austria, 2015.
  • Schwarz, G.E. Estimating the dimension of a model, Annals of Statistics 6, 461-464, 1978.

Year 2017, Volume: 46 Issue: 6 , 1175 - 1186 , 01.12.2017
https://izlik.org/JA45LK76HX

Abstract

References

  • Akaike, H. A new look at the statistical model identification, IEEE Transactions on Automatic Control 19, 716-723, 1974.
  • Crowder, M.J., Kimber, A., Sweeting, T. and Smith, R. Statistical Analysis of Reliability Data, Chapman and Hall, London, 1994.
  • Kundu, D. and Gupta, A.K. On bivariate Weibull-geometric distribution, Journal of Multivariate Analysis 123, 19-29, 2014.
  • Marshall, A.W. and Olkin, I. A multivariate exponential distribution, Journal of the American Statistical Association 62, 30-44, 1967.
  • Marshall, A.W. and Olkin, I. A new method of adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika 84, 641-652, 1997.
  • R Development Core Team. A Language and Environment for Statistical Computing, R Foundation for Statistical Computing. Vienna, Austria, 2015.
  • Schwarz, G.E. Estimating the dimension of a model, Annals of Statistics 6, 461-464, 1978.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Saralees Nadarajah

Rasool Roozegar This is me

Publication Date December 1, 2017
IZ https://izlik.org/JA45LK76HX
Published in Issue Year 2017 Volume: 46 Issue: 6

Cite

APA Nadarajah, S., & Roozegar, R. (2017). Bivariate Weibull-power series class of distributions. Hacettepe Journal of Mathematics and Statistics, 46(6), 1175-1186. https://izlik.org/JA45LK76HX
AMA 1.Nadarajah S, Roozegar R. Bivariate Weibull-power series class of distributions. Hacettepe Journal of Mathematics and Statistics. 2017;46(6):1175-1186. https://izlik.org/JA45LK76HX
Chicago Nadarajah, Saralees, and Rasool Roozegar. 2017. “Bivariate Weibull-Power Series Class of Distributions”. Hacettepe Journal of Mathematics and Statistics 46 (6): 1175-86. https://izlik.org/JA45LK76HX.
EndNote Nadarajah S, Roozegar R (December 1, 2017) Bivariate Weibull-power series class of distributions. Hacettepe Journal of Mathematics and Statistics 46 6 1175–1186.
IEEE [1]S. Nadarajah and R. Roozegar, “Bivariate Weibull-power series class of distributions”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 6, pp. 1175–1186, Dec. 2017, [Online]. Available: https://izlik.org/JA45LK76HX
ISNAD Nadarajah, Saralees - Roozegar, Rasool. “Bivariate Weibull-Power Series Class of Distributions”. Hacettepe Journal of Mathematics and Statistics 46/6 (December 1, 2017): 1175-1186. https://izlik.org/JA45LK76HX.
JAMA 1.Nadarajah S, Roozegar R. Bivariate Weibull-power series class of distributions. Hacettepe Journal of Mathematics and Statistics. 2017;46:1175–1186.
MLA Nadarajah, Saralees, and Rasool Roozegar. “Bivariate Weibull-Power Series Class of Distributions”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 6, Dec. 2017, pp. 1175-86, https://izlik.org/JA45LK76HX.
Vancouver 1.Saralees Nadarajah, Rasool Roozegar. Bivariate Weibull-power series class of distributions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Dec. 1;46(6):1175-86. Available from: https://izlik.org/JA45LK76HX