Question

Exponential distribution from uniform distribution

Answer 1

Related distributions.


If X has a standard uniform distribution, then by the inverse transform sampling method,
Y = − λ−1

Hey buddy here is ur answer ...

ln (X) has an exponential distribution with (rate) parameter λ. U(0,1) distributions.


The sum of two independent, equally distributed, uniform distributions yields a symmetric triangular distribution .



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Answer 2

Hey buddy here is ur answer......


It can be shown for the exponential distribution that the mean is equal to the standard deviation;

i.e., μ = σ = 1/λ

Moreover, the exponential distribution is the only continuous distribution that is "memoryless",

in the sense that P(X > a+b.
If X has a standard uniform distribution,

then by the inverse transform sampling method,
Y = − λ−1

ln (X) has an exponential distribution with (rate) parameter λ. U(0,1) distributions.


The sum of two independent, equally distributed, uniform distributions yields a symmetric triangular distribution .

Hope u like answer ...

☺ BE BRAINLY ☺