A new method for generating families of continuous distributions
Tóm tắt
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.
Tài liệu tham khảo
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