# cdfgep: Cumulative Distribution Function of the Generalized...

Description Usage Arguments Value Author(s) References See Also Examples

### Description

This function computes the cumulative probability or nonexceedance probability of the Generalized Exponential Poisson distribution given parameters (β, κ, and h) computed by pargep. The cumulative distribution function is

F(x) = ≤ft(\frac{1 - \exp[-h + h\exp(-η x)]}{1 - \exp(-h)}\right)^κ\mbox{,}

where F(x) is the nonexceedance probability for quantile x > 0, η = 1/β, β > 0 is a scale parameter, κ > 0 is a shape parameter, and h > 0 is another shape parameter.

### Usage

 1 cdfgep(x, para) 

### Arguments

 x A real value vector. para The parameters from pargep or vec2par.

### Value

Nonexceedance probability (F) for x.

W.H. Asquith

### References

Barreto-Souza, W., and Cribari-Neto, F., 2009, A generalization of the exponential-Poisson distribution: Statistics and Probability, 79, pp. 2493–2500.

pdfgep, quagep, lmomgep, pargep

### Examples

 1 2 gep <- list(para=c(2, 1.5, 3), type="gep") cdfgep(0.48,gep) 

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