Far East Journal of Theoretical Statistics
Volume 52, Issue 2, Pages 115 - 138
(March 2016) http://dx.doi.org/10.17654/TS052020115 |
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CHARACTERIZATIONS THROUGH THE GENERALIZED INVERTED RAYLEIGH DISTRIBUTION
R. A. Bakoban and M. I. Abubaker
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Abstract: In this article, the generalized inverted Rayleigh distribution (GIRD) is presented and some of the statistical properties of this distribution are obtained. First, we studied the shape of hazard function. Next, we derived the quantile function, median, mode, moments, harmonic mean, skewness and kurtosis. Also, we found the order statistics and the mean deviations about the mean and median. Other important properties including entropy (Rényi and Shannon) which are measures of the uncertainty in this distribution are also investigated. |
Keywords and phrases: generalized inverse Rayleigh distribution, hazard function, moment, quantile, mean deviations, Shannon entropy, Rényi entropy. |
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