The sum of correlated gamma random variables appears in the analysis of many wireless communications systems, e.g. in systems under Nakagami-m fading. In this Letter we obtain exact expressions for the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of arbitrarily correlated gamma variables in terms of certain Lauricella functions. Index Terms Gamma ...

The objective of this study was to examine the properties of Bayes estimators of the parameter, reliability function and hazard rate under the symmetric and asymmetric loss functions for the inverted exponential model. The Bayes predictive interval and the Bayes estimate of shift point are also determined. A simulation study was carried out to study the properties of the Bayes estimators. Intro...

Abstract We prove an analogue of Selberg’s zero density estimate for $\zeta(s)$ that holds any $\textrm{GL}_2$ L -function. use this to study the distribution vector fractional parts $\gamma\boldsymbol{\alpha}$ , where $\boldsymbol{\alpha}\in\mathbb{R}^n$ is fixed and $\gamma$ varies over imaginary nontrivial zeros a

in this research, the daily precipitation data of 1437 synoptic, climatic and rain gauging stations of iran in the time interval 1961- 2004 (equal to 15705 days) was utilized. using kriging geostatistics method, the data were interpolated on the pixels of 15 *15km2, so as an array to the dimension of 15705 * 7187 was formed. to identify the fittest distribution of the days with over 5.0mm preci...

The asymptotic distribution of maximum likelihood estimators is derived for a class of exponential generalized autoregressive conditional heteroskedasticity (EGARCH) models. The result carries over to models for duration and realised volatility that use an exponential link function. A key feature of the model formulation is that the dynamics are driven by the score. Keywords: Duration models; g...

The gamma and Weibull distributions are commonly used for analyzing any lifetime data or skewed data. Recently a new family of generalized exponential (GE) distributions was introduced and studied quite extensively by Gupta and Kundu in series of papers. In this talk we show that many properties of this new family are quite similar to those of a gamma family. Since the GE distribution function ...