par2cdf2

This function computes the nonexceedance probability of a given quantile from a linear weighted combination of two quantile functions but accomplishes this from the perspective of cumulative distribitution functions (see <code>par2qua2</code>). For the current implementation simply <code>uniroot</code>'ing of a internally declared function and <code>par2qua2</code> is made. Mathematical details are provided under <code>par2qua2</code>.

distribution (mixture)

mixed distribution

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

par2cdf2 function

<dl> <dt>x</dt>
<dd>A real value vector.</dd> <dt>para1</dt>
<dd>The first distribution parameters from <code>lmom2par</code> or <code>vec2par</code>.</dd> <dt>para2</dt>
<dd>The second distribution parameters from <code>lmom2par</code> or <code>vec2par</code>.</dd> <dt>weight</dt>
<dd>An optional weighting argument to use in lieu of the <code>F</code>. Consult the documentation for <code>par2qua2</code> for the implementation details when <code>weight</code> is <code>NULL</code>.</dd> <dt>...</dt>
<dd>The additional arguments are passed to the quantile function.</dd></dl>

Arguments

Author

Equivalent Cumulative Distribution Function of Two Distributions — par2cdf2

<dl>

 <dt>x</dt>
<dd>A real value vector.</dd>

 <dt>para1</dt>
<dd>The first distribution parameters from <code>lmom2par</code> or <code>vec2par</code>.</dd>

 <dt>para2</dt>
<dd>The second distribution parameters from <code>lmom2par</code> or <code>vec2par</code>.</dd>

 <dt>weight</dt>
<dd>An optional weighting argument to use in lieu of the <code>F</code>. Consult the documentation for <code>par2qua2</code> for the implementation details when <code>weight</code> is <code>NULL</code>.</dd>

 <dt>...</dt>
<dd>The additional arguments are passed to the quantile function.</dd>

</dl>

par2cdf2: Equivalent Cumulative Distribution Function of Two Distributions

Description

Usage

Value

Arguments

Author

See Also

Examples