This function computes the cumulative probability or nonexceedance probability of the Govindarajulu distribution given parameters (ξ, α, and β) 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.
A real value vector.
The parameters from
Nonexceedance probability (F) for x.
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.