cdfgov {lmomco}

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.

Author(s)

W.H. Asquith

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

  lmr <- lmoms(c(123,34,4,654,37,78))
  cdfgov(50,pargov(lmr))