A new method for generating families of continuous distributions
In this paper, a new method is proposed for generating families of continuous distributions. A random variable $$X$$ , “the transformer”, is used to transform another random variable $$T$$ , “the transformed”. The resulting family, the $$T$$ - $$X$$ family of distributions, has a connection with the hazard functions and each generated distribution is considered as a weighted hazard function of the random variable $$X$$ . Many new distributions, which are members of the family, are presented. Several known continuous distributions are found to be special cases of the new distributions. Copyright Sapienza Università di Roma 2013
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Volume (Year): 71 (2013)
Issue (Month): 1 (June)
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References listed on IDEAS
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- M. Jones, 2004. "Families of distributions arising from distributions of order statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(1), pages 1-43, June.
- Ferreira, Jose T.A.S. & Steel, Mark F.J., 2006.
"A Constructive Representation of Univariate Skewed Distributions,"
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American Statistical Association, vol. 101, pages 823-829, June.
- Jose T.A.S. Ferreira & Mark F.J. Steel, 2004. "A Constructive Representation of Univariate Skewed Distributions," Econometrics 0403002, EconWPA.
- McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-663, May. Full references (including those not matched with items on IDEAS)
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