%0 Journal Article %A Alizadeh, M. %A Bagheri, F. %A M. Khaleghy Moghaddam, M. %T Efficient Estimation of the Density and Cumulative Distribution Function of the Generalized Rayleigh Distribution %J Journal of Statistical Research of Iran %V 10 %N 1 %U http://jsri.srtc.ac.ir/article-1-53-en.html %R 10.18869/acadpub.jsri.10.1.1 %D 2013 %K Generalized Rayleigh distribution, maximum likelihood estimator, uniformly minimum variance unbiased estimator, percentile estimator, least squares estimator, weighted least squares estimator, %X The uniformly minimum variance unbiased (UMVU), maximum likelihood, percentile (PC), least squares (LS) and weighted least squares (WLS) estimators of the probability density function (pdf) and cumulative distribution function are derived for the generalized Rayleigh distribution. This model can be used quite effectively in modelling strength data and also modeling general lifetime data. It has been shown that MLE is better than UMVUE and UMVUE is better than the others. An application to waiting times (min) of 100 bank customers %> http://jsri.srtc.ac.ir/article-1-53-en.pdf %P 1-22 %& 1 %! %9 Research %L A-10-1-30 %+ %G eng %@ 2538-5771 %[ 2013