IJSREG Trion Studio

No Publication Cost

Vol 5, No 1 :

openaccess

Characterization and Estimation of Transmuted Generalized Inverse Exponential distribution with Applications to Health data
Afaq Ahmad , S. P Ahmad
Abstract

In this article, a generalization of the Generalized Inverse Exponential distribution so called transmuted Generalized Inverse Exponential (TGIE) distribution is proposed and studied. We have used the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distributions taking Generalized Inverse Exponential distribution as the base value distribution by introducing a new parameter that would offer more distributional flexibility. We provide explicit expressions for its moments, moment generating function, reliability function and hazard function. We estimate the parameters of the TGIE distribution using the method of maximum likelihood estimation (MLE).  An application is presented to illustrate the proposed distribution.
Full Text
PDF
References

Ahmad; S.P. Ahmad; A. Ahmed; Transmuted Inverse Rayleigh distribution : Generalization of the Inverse Rayleigh Distribution, Mathematical Theory and Modeling, 4 90-98 (2014).
Ahmad; S.P. Ahmad; A. Ahmed; Transmuted Kumaraswamy distribution, Mathematical Theory and Modeling, 5 (9) 168-174 (2015).
S. K. Ashour; M.A. Eltehiwy; Transmuted Lomax Distribution, American Journal of Applied Mathematics and Statistics, 1(6) 121-127 (2013b).
Elbatal; Transmuted Modified Inverse Weibull Distribution: A Generalization of the Modified Inverse Weibull Probability Distribution, International Journal of Mathematical Archive, 4 (8) 117-129 (2013).
J. Havrda; F. Charvat; Quantification method of classification procedures: concept of structural -entopy Kybernetika, 3 30-35 (1967).
M.A. Hussian; Transmuted Exponentiated Gamma Distribution: A Generalization of the Exponentiated Gamma Probability Distribution, Applied Mathematical Sciences, 8(27) 1297-1310 (2014).
K. Jain; N. Singh; S.K. Sharma; The generalized inverse generalized Weibull distribution and its properties , Journal of Probability,http://dx.doi.org/10.1155/2014/736101(2014).
A.Z. Keller; A.R. Kamath; Reliability analysis of CNC Machine Tools, Reliability Engineering, 3 449-473 (1982).
M.S. Khan; R. King; I.L. Hudson; Characteristics of the Transmuted Inverse Weibull Distribution, ANZIAM Journal, 55 197- 217 (2014).
D. Kund; A. Joarder, Analysis of the type-II progressively hybrid censored data, Computational Statistical and Data Analysis, 50 2509–2528 (2006).
J.F. Lawless; Statistical models and methods for lifetime data, New York, Wiley (1982).
F. Merovci; Transmuted Rayleigh distribution”, Austrian Journal of Statistics, 42 21-31 (2013).
P.E. Oguntunde; A.O. Adejumo; The Generalized Inverted Generalized Exponential Distribution with an Application to a Censored Data, Journal of Statistics and Probability, 4 223-230 (2015).
P.E. Oguntunde; A.O. Adejumo; TheTransmuted Inverse Exponential Distribution, International Journal of Advanced Statistics and Probability, 3(1) 1-7 (2015).
B.J. Sickle-Santanello; W.B. Farrar; S. Keyhani-Rofaga; A reproducible system of flow cytometric DNA analysis of paraffin embedded solid tumor: technical improvements and statistical analysis, Cytometry, 9 594-599 (1988).
W.T. Shaw; I.R. Buckley; The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distributions from a rank transmutation map, arXiv preprint, arXiv: 0901.0434 (2007).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

Journal Content
Browser