In this article, a new distribution having three called Modified Generalized Exponential Distribution is proposed. Important statistical properties of the proposed model like survival function, hazard rate probability density function (PDF), cumulative (CDF), quantile skewness, and kurtosis are discussed here. Least Square Estimation (LSE), Cramer- Von Mises (CVM) Maximum Likelihood estimators ...

We provide a simple method to assess stability and capacity of general Exponential Backoff (EB) mechanisms in the case of two contending stations. We prove that, in the case of Binary EB with balanced traffic, the system is stable for total arrival rates up to λ = 0.6096, which represents also the capacity of the system. Furthermore, we obtain the capacity curve also for the case of unbalanced ...

In this note, two characterizations of the exponential distribution are established. Theorem 1: Let a > -1, a ~ O. A positive random variable X has an exponential distribution if and only if E[CX-y)aI X > y] is a finite constant for all y ~ O. Theorem 2: Let Xl ,X2, ..• ,Xn be i.i.d. random variables having a continuous distribution FCx), and XCl)'XC2)' ... 'XCn) their order statistics. Let a >...