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8.4.15 The exponential distribution

The probability density function for the exponential distribution: exponential exponentiald

The exponential distribution depends on one parameters, λ>0; the value of the density function at x ≥ 0 is exponential(λ,x) = λ e−λ x. The exponential command computes the exponential distribution.
exponentiald is a synonym for exponential.

Example.

exponential(2.1,3.5)

Output:

0.00134944395675

The cumulative distribution function for the exponential distribution: exponential_cdf exponentiald_cdf

The exponential_cdf (or exponentiald_cdf) command computes the cumulative distribution function for the exponential distribution.

Examples.

The inverse distribution function for the exponential distribution: exponential_icdf exponentiald_icdf

The exponential_icdf (or exponentiald_icdf) command computes the inverse distribution for the exponential distribution.

Example.

Input:

exponential_icdf(2.3,0.87)

Output:

0.887052534142

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