# exponential distribution

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## exponential distribution

n
(Statistics) statistics a continuous single-parameter distribution used esp when making statements about the length of life of certain materials or waiting times between randomly occurring events. Its density function is p(x) = λe–λx for positive λ and nonnegative x, and it is a special case of the gamma distribution
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Therefore, the inter-meeting time between two nodes conforms to an exponential distribution with the parameter denoted by [lambda].
Three different p(S) are considered to demonstrate the power of the density function density g(S) : (1) the Pareto power law, (2) the exponential distribution, and (3) the two-parameter Weibull distribution.
2002) and MM double Exponential distribution by (Perveen and Munir, 2016).
Considering G (x) the cdf of the exponential distribution with parameter [lambda] in Equation (2), we have the gamma-[(1 - Exp)/Exp] distribution:
The scale parameter is the same scale parameter of the exponential distribution describing the prime gaps.
Tong, Chen and Chen (2012) investigated the minimum variance unbiased estimator of the electronic component life under exponential distribution.
The distribution of video content duration can be approximated by an exponential distribution [30].
which are the iid RVs from the standard exponential distribution (see Arnold et al.
We model the time points of the breaking of the tension wires with a point process where the waiting times for the next breaking of a tension wire follow an exponential distribution depending only on the number of wires which are broken before.
The Lindley distribution is a mixture of an exponential distribution with scale [lambda] and a gamma distribution with shape 2 and scale [lambda], where the mixing proportion is p = [lambda]/(1 + [lambda]).
2,2n] with n proper hyperedges for the exponential distribution.
Although there are no hard and fast rules on which test to use in a given situation, where there are no censored observations, the samples are from a Weibull or exponential distribution, and sample size is less than 50 per group, the Cox's F test is more powerful than Gehan's generalized Wilcoxon test.

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