lmomco (version 2.3.1)

cdfgov: Cumulative Distribution Function of the Govindarajulu Distribution

Description

This function computes the cumulative probability or nonexceedance probability of the Govindarajulu distribution given parameters ($\xi$, $\alpha$, and $\beta$) computed by pargov. The cumulative distribution function has no explicit form and requires numerical methods. The R function uniroot is used to root the quantile function quagov to compute the nonexceedance probability. The function returns 0 or 1 if the x argument is at or beyond the limits of the distribution as specified by the parameters.

Usage

cdfgov(x, para)

Arguments

x

A real value vector.

para

The parameters from pargov or vec2par.

Value

Nonexceedance probability ($F$) for $x$.

References

Gilchrist, W.G., 2000, Statistical modelling with quantile functions: Chapman and Hall/CRC, Boca Raton.

Nair, N.U., Sankaran, P.G., and Balakrishnan, N., 2013, Quantile-based reliability analysis: Springer, New York.

Nair, N.U., Sankaran, P.G., and Vineshkumar, B., 2012, The Govindarajulu distribution---Some Properties and applications: Communications in Statistics, Theory and Methods, v. 41, no. 24, pp. 4391--4406.

See Also

pdfgov, quagov, lmomgov, pargov

Examples

# NOT RUN {
  lmr <- lmoms(c(123,34,4,654,37,78))
  cdfgov(50,pargov(lmr))
# }