lmom.test.all

data

This function is a dispatcher on top of <code>lmom.CCC.test</code> functions, where
<code>CCC</code> represents distribution: <code>exp</code>, <code>gam</code>, <code>gev</code>, <code>glo</code>, <code>gno</code>, <code>gpa</code>,
<code>gum</code>, <code>kap</code>, <code>nor</code>, <code>pe3</code>, <code>revgum</code>, <code>wak</code>, and <code>wei</code>. The motivation for the function is provide an example and builtin tool
to assess the performance of the algorithms implements the L-moments for the
supported univariate distributions functions. This function is to broadly call each supported 
distribution in the library through (1) computation of the L-moments of the data, 
(2) computation of the corresponding parameters of the distribution, and
(3) return computation of the of the theoretical L-moments of the distribution.
The differences between the sample and theoretical L-moments are produced by
<code>lmom.diff</code>. Further the median quantile of the distribution is computed
through the quantile function, and in turn, the median nonexceedance probability
is computed through the cumulative distribution function.

distribution

The package implements the statistical theory of L-moments
        in R including L-moment estimation, probability-weighted moment
        estimation, parameter estimation for numerous familiar and
        not-so-familiar distributions, and L-moment estimation for the
        same distributions from the parameters. L-moments are derived
        from the expectations of order statistics and are linear with
        respect to the probability-weighted moments; choice of either
        can be made by mathematical convenience. L-moments are directly
        analogous to the well-known product moments; however, L-moments
        have many advantages including unbiasedness, robustness, and
        consistency with respect to the product moments, and the method
        of L-moments can out perform the method of maximum likelihood.
        The lmomco package historically was originally oriented around
        canonical FORTRAN algorithms of Hosking's library, and the
        nomenclature for many of the functions parallels those of the
        Hosking library. Hosking's algorithms later became available in
        the lmom package. However, vast extensions, components,
        concepts, and other L-moment curiosities are added to lmomco to
        aid and expand the breadth of L-moment applications. Such
        extensions include venerable statistics as Sen weighted mean,
        Gini mean difference, plotting positions, and conditional
        probability adjustment. The plotting of L-moment ratio diagrams
        is directly supported in this package. Computations of
        L-moments for right-tail and left-tail censoring by known or
        unknown censoring threshold (Hosking) and also by indicator
        variable also are available. Trimmed L-moments are supported as
        is numerical integration of quantile functions to dynamically
        compute trajectories of select TL-moment ratios for the
        construction of TL-moment ratio diagrams. L-moments have been
        extended into multivariate space; the so-called sample
        L-comoments are implemented and might have considerable
        application in copula theory because they measure asymmetric
        correlation and higher comoments or comovements of variables.
        The package supports exact analytical boot strap estimates of
        order statistics, L-moments, and variances-covariances of
        L-moments. The package provides the Harri-Coble Tau34-squared
        Test for Normality that uses only the sample L-skew and
        L-kurtosis. The package supports the following distributions
        with moment type shown as "L" (L-moments) or "TL" (trimmed
        L-moments) and additional support for right-tail censoring
        ([RC]) include: Asymmetric Exponential Power (L), Cauchy (TL),
        Eta-Mu (L), Exponential (L), Gamma (L), Generalized Extreme
        Value (L), Generalized Lambda (L & TL), Generalized Logistic
        (L), Generalized Normal (L), Generalized Pareto (L[RC] & TL),
        Gumbel (L), Kappa (L), Kappa-Mu (L), Kumaraswamy (L), Laplace
        (L), Normal (L), 3-parameter log-Normal (L), Pearson Type III
        (L), Rayleigh (L), Reverse Gumbel (L[RC]), Rice/Rician (L),
        Truncated Exponential (L), Wakeby (L), and Weibull (L).

lmom.test.all: Test All lmom.CCC.test Functions

Description

Usage

Arguments

Value

See Also

Examples