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.

generalized inverse Rayleigh distribution, hazard function, moment, quantile, mean deviations, Shannon entropy, Rényi entropy.