Journals Information
Universal Journal of Applied Mathematics Vol. 4(3), pp. 43 - 50
DOI: 10.13189/ujam.2016.040301
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The Modified Generalized Inverted Exponential Distribution
A. M. Abouammoh *, Arwa M. Alshangiti
Department of Statistics & O. R., College of Science, King Saud University, Saudi Arabia
ABSTRACT
This paper introduces a new probability model that is the modified generalized inverted exponential distribution. This new probability model is a generalization of the well-known inverted exponential distribution as a special case. Statistical and reliability properties of the modified version are derived. Shapes for the probability density function, reliability function and failure rate function are shown with graphical illustration. The truncated distribution is studied in details. Further, estimation by the method of maximum likelihood is discussed through numerical simulation. Finally, a real data set is used where the proposed model fits better than the generalized inverted exponential distribution and the asymptotic confidence interval is given.
KEYWORDS
Modified Generalized Inverted Exponential Distribution, Generalized Inverted Exponential Distribution, Failure-rate, Mode, Reliability Function, Maximum Likelihood Estimation, Q-Q Plot
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] A. M. Abouammoh , Arwa M. Alshangiti , "The Modified Generalized Inverted Exponential Distribution," Universal Journal of Applied Mathematics, Vol. 4, No. 3, pp. 43 - 50, 2016. DOI: 10.13189/ujam.2016.040301.
(b). APA Format:
A. M. Abouammoh , Arwa M. Alshangiti (2016). The Modified Generalized Inverted Exponential Distribution. Universal Journal of Applied Mathematics, 4(3), 43 - 50. DOI: 10.13189/ujam.2016.040301.