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exponential distribution

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exponential distribution
n
(Mathematics & Measurements / 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) = λex for positive λ and nonnegative x, and it is a special case of the gamma distribution


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Inferences for generalised exponential distribution based on record statistics, J.
With k = 1, the Weibull distribution takes the form of an exponential distribution with a constant hazard rate.
The probability density function of a two-parameter exponential distribution is given by: f(t;[mu],[theta]) = [1/[theta]]exp{-(t-[mu])/[theta]}, t[greater than or equal to][mu] and t[greater than or equal to]0 Where: [mu] = The location parameter [theta]>0 = The scale parameter The probability distribution function is: F(t;[mu],[theta]) = 1-exp{-(t-[mu])/[theta]}.
 
 
 
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