LMoFit0.1.7 package

Advanced L-Moment Fitting of Distributions

qBrIII

Quantile distribution function of BrIII distribution

qBrXII

Quantile distribution function of BrXII distribution

qgam

Quantile distribution function of Gamma distribution

qgev

Quantile distribution function of GEV distribution

qGG

Quantile distribution function of the Generalized Gamma (GG) distribut...

qglo

Quantile distribution function of Generalized Logistic Distribution

qgno

Quantile distribution function of Generalized normal Distribution

qgpa

Quantile distribution function of Generalized Pareto Distribution

qln3

Quantile distribution function of Lognormal-3 Distribution

qnor

Quantile distribution function of Normal Distribution

qpe3

Quantile distribution function of Pearson type-3 Distribution

tBrIII

Return period function of BrIII distribution

tBrXII

Return period function of BrXII distribution

tgam

Return period function of Gamma distribution

tgev

Return period function of GEV distribution

tGG

Return period function of Generalized Gamma distribution

tglo

Return period function of Generalized Logistic distribution

tgno

Return period function of Generalized Normal distribution

tgpa

Return period function of Generalized Pareto distribution

tln3

Return period function of Lognormal-3 distribution

tnor

Return period function of Noramal distribution

tpe3

Return period function of Pearson type-3 distribution

fit_pe3

Fit Pearson Type-3 distribution using the 'lmom' package

get_julian

Get julian date from the begining of the year

pln3

Cumulative distribution function of Lognormal-3 Distribution

pnor

Cumulative distribution function of Noramal Distribution

ppe3

Cumulative distribution function of Pearson type-3 Distribution

get_sample_lmom

Estimate sample L-moments and L-moment ratios

pBrIII

Cumulative distribution function of BrIII distribution

pBrXII

Cumulative distribution function of BrXII distribution

pemp

Emperical cumulative distribution function

pgam

Cumulative distribution function of Gamma distribution

pgev

Cumulative distribution function of GEV distribution

fit_BrIII

Fit Burr Type-III (BrIII) Distribution

fit_BrXII

Fit Burr Type-XII (BrXII) Distribution

fit_gam

Fit Gamma distribution using the 'lmom' package

fit_gev

Fit GEV distribution

pGG

Cumulative distribution function of Generalized Gamma (GG) distributio...

pglo

Cumulative distribution function of Generalized Logistic Distribution

pgno

Cumulative distribution function of Generalized Normal Distribution

fit_GG

Fit Generalized Gamma (GG) Distribution

fit_glo

Fit Generalized Logistic distribution using the 'lmom' package

pgpa

Cumulative distribution function of Generalized Pareto Distribution

fit_gno

Fit Generalized Normal distribution using the 'lmom' package

fit_gpa

Fit Generalized Pareto distribution using the 'lmom' package

fit_ln3

Fit LogNormal-3 distribution using the 'lmom' package

com_sam_lspace

Comparing sample L-moment ratios with L-spaces of various distribution...

con_sam_lspace

Condition of sample lpoints, as inside/outside of specific L-spaces on...

fit_nor

Fit Normal distribution using the 'lmom' package

con_samlmom_lspace

Condition of sample lpoints, as inside/outside of specific L-spaces on...

dBrIII

Probability density function of BrIII distribution

dBrXII

Probability density function of BrXII distribution

dgam

Probability density function of Gamma distribution

dgev

Probability density function of GEV distribution

dGG

Probability density function of Generalized Gamma (GG) distribution

dglo

Probability density function of Generalized Logestic Distribution

dgno

Probability density function of Generalized normal Distribution

dgpa

Probability density function of Generalized Pareto Distribution

dln3

Probability density function of Lognormal-3 Distribution

dnor

Probability density function of Normal Distribution

dpe3

Probability density function of Pearson type-3 Distribution

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) <doi:10.1111/j.2517-6161.1990.tb01775.x>, the fitting of various distributions as in Zaghloul et al. (2020) <doi:10.1016/j.advwatres.2020.103720> and Hosking, J.R.M. (2019) <https://CRAN.R-project.org/package=lmom>, besides plotting and manipulating L-space diagrams as in Papalexiou, S.M. & Koutsoyiannis, D. (2016) <doi:10.1016/j.advwatres.2016.05.005> 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.

  • Maintainer: Mohanad Zaghloul
  • License: GPL-3
  • Last published: 2024-05-14