Abstract
We introduce new generalized classes of exponential distribution, called T-exponential{Y} class using the quantile functions of well-known distributions. We derive some general mathematical properties of this class including explicit expressions for the quantile function, Shannon entropy, moments and mean deviations. Some generalized exponential families are investigated. The shapes of the models in these families can be symmetric, left-skewed, right-skewed and reversed-J, and the hazard rate can be increasing, decreasing, bathtub, upside-down bathtub, J and reverse-J shaped. Two real data sets are used to illustrate the applicability of the new models.
| Original language | English |
|---|---|
| Pages (from-to) | 1259-1272 |
| Number of pages | 14 |
| Journal | Filomat |
| Volume | 32 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jan 1 2018 |
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Keywords
- Hazard rate
- Quantile function
- Reliability function
- Shannon entropy
- T-X family
ASJC Scopus subject areas
- Mathematics(all)
Cite this
On generalized classes of exponential distribution using T-X family framework. / Zubair, Muhammad; Yousef Abdelfattah Alzaatreh, Ayman; Cordeiro, Gauss M.; Tahir, M. H.; Mansoor, Muhammad.
In: Filomat, Vol. 32, No. 4, 01.01.2018, p. 1259-1272.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On generalized classes of exponential distribution using T-X family framework
AU - Zubair, Muhammad
AU - Yousef Abdelfattah Alzaatreh, Ayman
AU - Cordeiro, Gauss M.
AU - Tahir, M. H.
AU - Mansoor, Muhammad
PY - 2018/1/1
Y1 - 2018/1/1
N2 - We introduce new generalized classes of exponential distribution, called T-exponential{Y} class using the quantile functions of well-known distributions. We derive some general mathematical properties of this class including explicit expressions for the quantile function, Shannon entropy, moments and mean deviations. Some generalized exponential families are investigated. The shapes of the models in these families can be symmetric, left-skewed, right-skewed and reversed-J, and the hazard rate can be increasing, decreasing, bathtub, upside-down bathtub, J and reverse-J shaped. Two real data sets are used to illustrate the applicability of the new models.
AB - We introduce new generalized classes of exponential distribution, called T-exponential{Y} class using the quantile functions of well-known distributions. We derive some general mathematical properties of this class including explicit expressions for the quantile function, Shannon entropy, moments and mean deviations. Some generalized exponential families are investigated. The shapes of the models in these families can be symmetric, left-skewed, right-skewed and reversed-J, and the hazard rate can be increasing, decreasing, bathtub, upside-down bathtub, J and reverse-J shaped. Two real data sets are used to illustrate the applicability of the new models.
KW - Hazard rate
KW - Quantile function
KW - Reliability function
KW - Shannon entropy
KW - T-X family
UR - http://www.scopus.com/inward/record.url?scp=85052298515&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85052298515&partnerID=8YFLogxK
U2 - 10.2298/FIL1804259Z
DO - 10.2298/FIL1804259Z
M3 - Article
AN - SCOPUS:85052298515
VL - 32
SP - 1259
EP - 1272
JO - Filomat
JF - Filomat
SN - 0354-5180
IS - 4
ER -