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Log-Gamma - Rayleigh Distribution: Properties and Applications

Samir Kamel ASHOUR [1] , Darwish Rashwan DARWISH [2] , Ahmad Hassan SAAD [3]

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In this paper, for the first time we defined and studied a new two parameter lifetime model by using the T-X method, called the Log-Gamma Rayleigh distribution. This distribution can be considered as new generalization of the Rayleigh distribution. We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of maximum likelihood is used for estimating the model parameters. An application to a real data sets is given to show the flexibility and potentiality of the new model.

T-X method, Log-Gamma Rayleigh distribution, Hazard function, Quantile function, Moments
 Bibtex @research article { gujs334658, journal = {GAZI UNIVERSITY JOURNAL OF SCIENCE}, issn = {}, eissn = {2147-1762}, address = {Gazi University}, year = {2018}, volume = {31}, pages = {967 - 983}, doi = {}, title = {Log-Gamma - Rayleigh Distribution: Properties and Applications}, key = {cite}, author = {ASHOUR, Samir and DARWISH, Darwish and SAAD, Ahmad} } APA ASHOUR, S , DARWISH, D , SAAD, A . (2018). Log-Gamma - Rayleigh Distribution: Properties and Applications. GAZI UNIVERSITY JOURNAL OF SCIENCE, 31 (3), 967-983. Retrieved from http://dergipark.org.tr/gujs/issue/38948/334658 MLA ASHOUR, S , DARWISH, D , SAAD, A . "Log-Gamma - Rayleigh Distribution: Properties and Applications". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 (2018): 967-983 Chicago ASHOUR, S , DARWISH, D , SAAD, A . "Log-Gamma - Rayleigh Distribution: Properties and Applications". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 (2018): 967-983 RIS TY - JOUR T1 - Log-Gamma - Rayleigh Distribution: Properties and Applications AU - Samir Kamel ASHOUR , Darwish Rashwan DARWISH , Ahmad Hassan SAAD Y1 - 2018 PY - 2018 N1 - DO - T2 - GAZI UNIVERSITY JOURNAL OF SCIENCE JF - Journal JO - JOR SP - 967 EP - 983 VL - 31 IS - 3 SN - -2147-1762 M3 - UR - Y2 - 2018 ER - EndNote %0 GAZI UNIVERSITY JOURNAL OF SCIENCE Log-Gamma - Rayleigh Distribution: Properties and Applications %A Samir Kamel ASHOUR , Darwish Rashwan DARWISH , Ahmad Hassan SAAD %T Log-Gamma - Rayleigh Distribution: Properties and Applications %D 2018 %J GAZI UNIVERSITY JOURNAL OF SCIENCE %P -2147-1762 %V 31 %N 3 %R %U ISNAD ASHOUR, Samir , DARWISH, Darwish , SAAD, Ahmad . "Log-Gamma - Rayleigh Distribution: Properties and Applications". GAZI UNIVERSITY JOURNAL OF SCIENCE 31 / 3 (September 2018): 967-983.