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International Journal of Mathematical Analysis and Applications

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Exponentiated Nadarajah and Haghighi’s exponential Distribution

International Journal of Mathematical Analysis and Applications
Vol.2 , No. 5, Publication Date: Oct. 28, 2015, Page: 68-73

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Authors

[1]	Ibrahim B. Abdul-Moniem, Department of Statistics, Higher Institute of Management sciences in Sohag, Sohag, Egypt.

Abstract

In this paper, we introduce a new distribution called exponentiated Nadarajah and Haghighi’s exponential distribution (ENHED). Some properties of this distribution will be discussed. The maximum likelihood estimation of the unknown parameters is discussed. Real data show that the new distribution can be used quite effectively to provide better than the Nadarajah and Haghighi’s exponential distribution (NHED).

Keywords

Nadarajah and Haghighi’s Exponential Distribution, Exponential Distribution, Exponentiated Distributions, Traditional Moments, Maximum Likelihood Estimation

Reference

[01]	I. B., Abdul-Moniem and H. F., Abdel-Hameed, (2012). On Exponentiated Lomax Distribution. International Journal of Mathematical Archive, 3(5): 2144-2150.
[02]	I. B., Abdul-Moniem and M., Seham, (2015). Transmuted Gompertz Distribution. Computational and Applied Mathematics, 1(3): 88-96.
[03]	D. F., Andrews and A. M., Herzberg, (1985), Data: A Collection of Problems from Many Fields for the Student and Research Worker, Springer Series in Statistics, New York.
[04]	R. E., Barlow, R. H., Toland and T., Freeman, (1984), A Bayesian analysis of stress rupture life of kevlar 49/epoxy spherical pressure vessels, in ‘Proc. Conference on Applications of Statistics’, Marcel Dekker, New York.
[05]	AH. N., Ebraheim, (2014). Exponentiated Transmuted Weibull Distribution A Generalization of the Weibull Distribution. International Journal of Mathematical, Computational, Physical and Quantum Engineering. 8(6), 897-905.
[06]	Y. M., Gómez, H., Bolfarine and H. M., Gómez, (2014). A New Extension of the Exponential Distribution. Colombian Journal of Statistics27 (1), 25-34.
[07]	R. D., Gupta and D., Kundu, (2001). Exponentiated exponential family: an alternative to Gamma and Wiebull distributions. Biometrical Journal, 43 (1), 117-130.
[08]	G. S., Mudholkar and D. K., Srivastava, (1993). Exponentiated Weibull Family for analyzing bathtub failure rate data. IEEE Trans. Reliability 42 (2), 299-302.
[09]	S., Nadarajah, (2005). The exponentiated Gumble distribution with climate application. Environmetrics, 17 (1), 13-23.
[10]	S., Nadarajah and F., Haghighi, (2011), An extension of the exponential distribution, Statistics: A Journal of Theoretical and Applied Statistics 45(6), 543–558.