prob2grv

This function converts a vector of annual nonexceedance probabilities $F$ to Gumbel reduced variates (GRV, $grv$; Hosking and Wallis [1997, p. 92]) 
$$grv = -\log(-\log(F))\mbox{,}$$
where $0 \le F \le 1$. The Gumbel distribution (<code>quagum</code>), which is a special case of the Generalized Extreme Value (<code>quagev</code>), will plot as a straightline when the horizontal axis is GRV transformed.

utility (probability)

Extensive functions for Lmoments (LMs) and probability-weighted moments (PWMs),
distribution parameter estimation, LMs for distributions, LM ratio diagrams, multivariate
Lcomoments, and asymmetric (asy) trimmed LMs (TLMs). Maximum likelihood and
maximum product spacings estimation are available. Right-tail and left-tail LM censoring
by threshold or indicator variable are available. LMs of residual (resid) and reversed
(rev) residual life are implemented along with 13 quantile operators for reliability analyses.
Exact analytical bootstrap estimates of order statistics, LMs, and LM var-covars are available.
Harri-Coble Tau34-squared Normality Test is available. Distributions with L, TL, and added
(+) support for right-tail censoring (RC) encompass: 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 Residual Quantile Function [L], Normal [L],
3p log-Normal [L], Pearson Type III [L], Polynomial Density-Quantile 3 and 4 [L],
Rayleigh [L], Rev-Gumbel [L+RC], Rice [L], Singh Maddala [L], Slash [TL], 3p Student t [L],
Truncated Exponential [L], Wakeby [L], and Weibull [L].

William Asquith

lmomco

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

prob2grv function

<dl> <dt>f</dt>
<dd>A vector of annual nonexceedance probabilities.</dd></dl>

Arguments

Author

Convert a Vector of Annual Nonexceedance Probabilities to Gumbel Reduced Variates — prob2grv

<dl>

 <dt>f</dt>
<dd>A vector of annual nonexceedance probabilities.</dd>

</dl>

prob2grv: Convert a Vector of Annual Nonexceedance Probabilities to Gumbel Reduced Variates

Description

Usage

Value

Arguments

Author

References

See Also

Examples