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LMoFit (version 0.1.6)

Advanced L-Moment Fitting of Distributions

Description

A complete framework for frequency analysis is provided by 'LMoFit'. It has functions related to the determination of sample L-moments as in Hosking, J.R.M. (1990) , the fitting of various distributions as in Zaghloul et al. (2020) and Hosking, J.R.M. (2019) , besides plotting and manipulating L-space diagrams as in Papalexiou, S.M. & Koutsoyiannis, D. (2016) for two-shape parametric distributions on the L-moment ratio diagram. Additionally, the quantile, probability density, and cumulative probability functions of various distributions are provided in a user-friendly manner.

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Version

Install

install.packages('LMoFit')

Monthly Downloads

309

Version

0.1.6

License

GPL-3

Maintainer

Mohanad Zaghloul

Last Published

November 26th, 2020

Functions in LMoFit (0.1.6)

dgam

Probability density function of Gamma distribution
FLOW_AMAX

Annual maximum flow data at Water Survey of Canada WSC flow gauge number 08NA002 in BC, Vancouver, Canada. Lat: 51<U+00B0>14'36.8<U+00A8> N, Long: 116<U+00B0>54'46.6<U+00A8> W.
FLOW_AMAX_MULT

Annual maximum flow data at 10 hypothetical flow gauge.
con_samlmom_lspace

Condition of sample lpoints, as inside/outside of specific L-spaces on the L-moments ratio diagram, using sample lmoments.
dBrXII

Probability density function of BrXII distribution
dGG

Probability density function of Generalized Gamma (GG) distribution
com_sam_lspace

Comparing sample L-moment ratios with L-spaces of various distributions on the L-moments ratio diagram
dBrIII

Probability density function of BrIII distribution
dgev

Probability density function of GEV distribution
con_sam_lspace

Condition of sample lpoints, as inside/outside of specific L-spaces on the L-moments ratio diagram, using sample.
fit_gno

Fit Generalized Normal distribution using the 'lmom' package
dnor

Probability density function of Normal Distribution
qgpa

Quantile distribution function of Generalized Pareto Distribution
lspace_BrXII.xy

coordinates of the L-space of Burr Type-XII Distribution (BrXII)
qBrIII

Quantile distribution function of BrIII distribution
dpe3

Probability density function of Pearson type-3 Distribution
qln3

Quantile distribution function of Lognormal-3 Distribution
ppe3

Cumulative distribution function of Pearson type-3 Distribution
fit_gam

Fit Gamma distribution using the 'lmom' package
fit_GG

Fit Generalized Gamma (GG) Distribution
fit_gev

Fit GEV distribution
lspace_GG

L-space of Generalized Gamma Distribution (GG)
fit_BrIII

Fit Burr Type-III (BrIII) Distribution
dglo

Probability density function of Generalized Logestic Distribution
dgpa

Probability density function of Generalized Pareto Distribution
tpe3

Return period function of Pearson type-3 distribution
pln3

Cumulative distribution function of Lognormal-3 Distribution
tBrIII

Return period function of BrIII distribution
pnor

Cumulative distribution function of Noramal Distribution
fit_gpa

Fit Generalized Pareto distribution using the 'lmom' package
tBrXII

Return period function of BrXII distribution
fit_pe3

Fit Pearson Type-3 distribution using the 'lmom' package
lspace_BrIII.xy

coordinates of the L-space of Burr Type-III Distribution (BrIII)
dln3

Probability density function of Lognormal-3 Distribution
get_julian

Get julian date from the begining of the year
dgno

Probability density function of Generalized normal Distribution
fit_glo

Fit Generalized Logistic distribution using the 'lmom' package
fit_ln3

Fit LogNormal-3 distribution using the 'lmom' package
lspace_BrXII

L-space of Burr Type-XII Distribution (BrXII)
tglo

Return period function of Generalized Logistic distribution
pgam

Cumulative distribution function of Gamma distribution
qgno

Quantile distribution function of Generalized normal Distribution
pemp

Emperical cumulative distribution function
tgev

Return period function of GEV distribution
qglo

Quantile distribution function of Generalized Logistic Distribution
fit_BrXII

Fit Burr Type-XII (BrXII) Distribution
pglo

Cumulative distribution function of Generalized Logistic Distribution
pgev

Cumulative distribution function of GEV distribution
qgam

Quantile distribution function of Gamma distribution
qgev

Quantile distribution function of GEV distribution
tGG

Return period function of Generalized Gamma distribution
tgam

Return period function of Gamma distribution
get_sample_lmom

Estimate sample L-moments and L-moment ratios
pBrIII

Cumulative distribution function of BrIII distribution
lspace_GG.xy

coordinates of the L-space of Generalized Gamma Distribution (GG)
fit_nor

Fit Normal distribution using the 'lmom' package
lspace_BrIII

L-space of Burr Type-III Distribution (BrIII)
pgpa

Cumulative distribution function of Generalized Pareto Distribution
tln3

Return period function of Lognormal-3 distribution
pgno

Cumulative distribution function of Generalized Normal Distribution
pBrXII

Cumulative distribution function of BrXII distribution
tnor

Return period function of Noramal distribution
qBrXII

Quantile distribution function of BrXII distribution
qnor

Quantile distribution function of Normal Distribution
qGG

Quantile distribution function of the Generalized Gamma (GG) distribution
pGG

Cumulative distribution function of Generalized Gamma (GG) distribution
qpe3

Quantile distribution function of Pearson type-3 Distribution
tgpa

Return period function of Generalized Pareto distribution
tgno

Return period function of Generalized Normal distribution