cdfgov

The parameters from <code><a rd-options="" href="/link/pargov?package=lmomco&version=2.2.5" data-mini-rdoc="lmomco::pargov">pargov</a></code> or  <code><a rd-options="" href="/link/vec2par?package=lmomco&version=2.2.5" data-mini-rdoc="lmomco::vec2par">vec2par</a></code>.

para


This function computes the cumulative probability or nonexceedance probability of the Govindarajulu distribution given parameters ($\xi$, $\alpha$, and $\beta$) computed by <code><a rd-options="" href="/link/pargov?package=lmomco&version=2.2.5" data-mini-rdoc="lmomco::pargov">pargov</a></code>. The cumulative distribution function has no explicit form and requires numerical methods. The <span style="R">R</span> function <code>uniroot</code> is used to root the quantile function <code><a rd-options="" href="/link/quagov?package=lmomco&version=2.2.5" data-mini-rdoc="lmomco::quagov">quagov</a></code> to compute the nonexceedance probability. The function returns 0 or 1 if the <code>x</code> argument is at or beyond the limits of the distribution as specified by the parameters.


distribution

cumulative distribution function

Distribution: Govindarajulu

Extensive functions for L-moments (LMs) and probability-weighted moments (PWMs), parameter estimation for distributions, LM computation for distributions, and L-moment ratio diagrams. Maximum likelihood and maximum product of spacings estimation are also available. LMs for right-tail and left-tail censoring by known or unknown threshold and by indicator variable are available. Asymmetric (asy.) trimmed LMs (TL-moments, TLMs) are supported. LMs of residual (resid.) and reversed (rev.) resid. life are implemented along with 13 quantile function operators for reliability and survival analyses.  Exact analytical bootstrap estimates of order statistics, LMs, and variances-covariances of LMs are provided. The Harri-Coble Tau34-squared Normality Test is available. Distribution support with "L" (LMs), "TL" (TLMs) and added (+) support for right-tail censoring (RC) encompasses: Asy. Exponential (Exp.) Power [L], Asy. Triangular [L], Cauchy [TL], Eta-Mu [L], Exp. [L], Gamma [L], Generalized (Gen.) Exp. Poisson [L], Gen. Extreme Value [L], Gen. Lambda [L,TL], Gen. Logistic [L), Gen. Normal [L], Gen. Pareto [L+RC, TL], Govindarajulu [L], Gumbel [L], Kappa [L], Kappa-Mu [L], Kumaraswamy [L], Laplace [L], Linear Mean Resid. Quantile Function [L], Normal [L], 3-p log-Normal [L], Pearson Type III [L], Rayleigh [L], Rev.-Gumbel [L+RC], Rice/Rician [L], Slash [TL], 3-p Student t [L], Truncated Exponential [L], Wakeby [L], and Weibull [L]. Multivariate sample L-comoments (LCMs) are implemented to measure asymmetric association.

William Asquith

lmomco

L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments,
and Many Distributions

cdfgov function

The parameters from <code><a rd-options='' href='pargov'>pargov</a></code> or  <code><a rd-options='' href='vec2par'>vec2par</a></code>.


This function computes the cumulative probability or nonexceedance probability of the Govindarajulu distribution given parameters ($\xi$, $\alpha$, and $\beta$) computed by <code><a rd-options='' href='pargov'>pargov</a></code>. The cumulative distribution function has no explicit form and requires numerical methods. The <span style="R">R</span> function <code>uniroot</code> is used to root the quantile function <code><a rd-options='' href='quagov'>quagov</a></code> to compute the nonexceedance probability. The function returns 0 or 1 if the <code>x</code> argument is at or beyond the limits of the distribution as specified by the parameters.


cdfgov: Cumulative Distribution Function of the Govindarajulu Distribution

Description

Usage

Arguments

Value

References

See Also

Examples