Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 63-79 |
| Number of pages | 17 |
| Journal | Metron |
| Volume | 71 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
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Keywords
- Beta-family
- Entropy
- Generalized distribution
- Hazard function
- Pearson system
- Shannon entropy
ASJC Scopus subject areas
- Statistics and Probability
Cite this
A new method for generating families of continuous distributions. / Alzaatreh, Ayman; Lee, Carl; Famoye, Felix.
In: Metron, Vol. 71, No. 1, 2013, p. 63-79.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A new method for generating families of continuous distributions
AU - Alzaatreh, Ayman
AU - Lee, Carl
AU - Famoye, Felix
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
KW - Beta-family
KW - Entropy
KW - Generalized distribution
KW - Hazard function
KW - Pearson system
KW - Shannon entropy
UR - http://www.scopus.com/inward/record.url?scp=84882981547&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84882981547&partnerID=8YFLogxK
U2 - 10.1007/s40300-013-0007-y
DO - 10.1007/s40300-013-0007-y
M3 - Article
VL - 71
SP - 63
EP - 79
JO - Metron
JF - Metron
SN - 0026-1424
IS - 1
ER -