Bivariate Weibull-power series class of distributions

Year 2017, Volume: 46 Issue: 6, 1175 - 1186, 01.12.2017

Saralees Nadarajah , Rasool Roozegar

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.

Keywords

EM algorithm, Maximum likelihood estimation, Power series distribution

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.