# Quantile Least Mahalanobis Distance Estimator for Tukey g-&-h Mixture

## Documentation for package ‘QuantileGH’ version 0.1.5

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A C D F G K L M N O P Q R S T U V Z misc

## -- A --

add1.fmx | Drop or Add One Parameter from fmx Object
approxdens | Empirical Density Function
as.fmx | Turn Various Objects to fmx
as.fmx.fitdist | Convert fitdist Objects to fmx Objects
as.fmx.mixEM | Convert 'mixEM' Objects to fmx Objects
as.fmx.Normal | Convert 'Normal' fit from 'mixsmsn' to fmx
as.fmx.Skew.normal | Convert 'Skew.normal' fit from 'mixsmsn' to fmx
as.fmx.Skew.t | Convert 'Skew.t' fit from 'mixsmsn' to fmx
as.fmx.t | Convert 'Normal' fit from 'mixsmsn' to fmx
autolayer_fmx_continuous | Create layer for Continuous fmx Objects
autolayer_fmx_discrete | Create layer for Discrete fmx Objects
autoplot.fmx | Plot fmx Objects using 'ggplot2'
autoplot.fmxS | Plot fmxS Object

## -- C --

CK5 | CK5
clusterList | Clustering Observations for Creation of fmx Object
coef.fmx | Parameter Estimates of fmx object
confint.fmx | Confidence Interval of fmx Object
CramerVonMises_fmx | Diagnoses for fmx Estimates
crossprod_inv | Inverse of X'X by QR Decomposition
CycD1 | CycD1

## -- D --

dbl2fmx | Inverse of 'fmx2dbl()', for internal use
dfmx | Density, Distribution and Quantile of Finite Mixture Distribution
dGH | Tukey's g-&-h Distribution
distArgs | Name(s) of Formal Argument(s) of Distribution
distType | Distribution Type
dist_logtrans | Distribution Parameters that needs to have a log-transformation
drop1.fmx | Drop or Add One Parameter from fmx Object
drop1_fmx | Drop or Add One Parameter from fmx Object
duplicated_allequal | Determine Nearly-Equal Elements

## -- F --

fmx | Create Finite Mixture Distribution
fmx-class | Specification of fmx Class
fmx2dbl | Reparameterization of fmx Object
fmxS | fmxS: Multiple fmx objects
fmxS-class | fmxS: Multiple fmx objects
fmx_cluster | Naive Estimates of Finite Mixture Distribution via Clustering
fmx_constraint | Parameter Constraint(s) of Mixture Distribution
fmx_diagnosis | Diagnoses for fmx Estimates
fmx_hybrid | Best Naive Estimates for Finite Mixture Distribution
fmx_normix | Naive Estimates of Finite Mixture Distribution using Mixture of Normal

## -- G --

geom_function_args | geom_function with Multiple Sets of Arguments
getTeX | TeX Label (of Parameter Constraint(s)) of fmx Object

## -- K --

Kolmogorov_dist | One-Sample Kolmogorov Distance
Kolmogorov_fmx | Diagnoses for fmx Estimates
KullbackLeibler_fmx | Diagnoses for fmx Estimates

## -- L --

letterValue | Letter-Value Estimation of Tukey g-&-h Distribution
letterV_B | Letter-Value Estimation of Tukey g-&-h Distribution
letterV_B_g_h | Letter-Value Estimation of Tukey g-&-h Distribution
letterV_B_h | Letter-Value Estimation of Tukey g-&-h Distribution
letterV_g | Letter-Value Estimation of Tukey g-&-h Distribution
logLik.fitdist | Log-Likelihood of fitdist Object
logLik.fmx | Log-Likelihood of fmx Object
logLik.mixEM | Log-Likelihood of "mixEM" Object

## -- M --

mahalanobis_int | A Simpler and Faster Mahalanobis Distance
mixEM_pars | Names of Distribution Parameters of "mixEM" Object
mlogis | Multinomial Probabilities & Logits
moment-class | Raw, Central and Standardized Moments, and other Distribution Characteristics
moment_ | Raw, Central and Standardized Moments, and other Distribution Characteristics
moment_.character | Raw, Central and Standardized Moments, and other Distribution Characteristics
moment_.fmx | Raw, Central and Standardized Moments, and other Distribution Characteristics
moment_GH | Raw, Central and Standardized Moments, and other Distribution Characteristics
moment_norm | Raw, Central and Standardized Moments, and other Distribution Characteristics
moment_sn | Raw, Central and Standardized Moments, and other Distribution Characteristics
moment_st | Raw, Central and Standardized Moments, and other Distribution Characteristics

## -- N --

nobs.fitdist | Number of Observations in fitdist Object
nobs.fmx | Number of Observations in fmx Object
npar.fmx | Number of Parameters of fmx Object

## -- O --

outer_allequal | Test if Two double Vectors are Element-Wise (Nearly) Equal

## -- P --

pfmx | Density, Distribution and Quantile of Finite Mixture Distribution
pGH | Tukey's g-&-h Distribution
pmlogis_first | Multinomial Probabilities & Logits
pmlogis_last | Multinomial Probabilities & Logits
print.fmx | S3 print of fmx Object

## -- Q --

qfmx | Density, Distribution and Quantile of Finite Mixture Distribution
qGH | Tukey's g-&-h Distribution
qGH2z | Tukey's g-&-h Distribution
QLMDe | Quantile Least Mahalanobis Distance estimates
QLMDe_stepK | Forward Selection of the Number of Components K
QLMDp | Percentages for Quantile Least Mahalanobis Distance estimation
qmlogis_first | Multinomial Probabilities & Logits
qmlogis_last | Multinomial Probabilities & Logits
quantile_vcov | Variance-Covariance of Quantiles

## -- R --

reAssign | Re-Assign Observations Trimmed Prior to Trimmed k-Means Clustering
reAssign.tkmeans | Re-Assign Observations Trimmed Prior to Trimmed k-Means Clustering
rfmx | Density, Distribution and Quantile of Finite Mixture Distribution
rGH | Tukey's g-&-h Distribution

## -- S --

show-method | Show fmx Object
show-method | Show moment
sort.mixEM | Sort "mixEM" Object by First Parameters
sort.Normal | Sort Objects from 'mixsmsn' by Location Parameters
sort.Skew.normal | Sort Objects from 'mixsmsn' by Location Parameters
sort.Skew.t | Sort Objects from 'mixsmsn' by Location Parameters
sort.t | Sort Objects from 'mixsmsn' by Location Parameters
sort_mixsmsn | Sort Objects from 'mixsmsn' by Location Parameters
step_fmx | Forward Selection of gh-parsimonious Model with Fixed Number of Components K

## -- T --

TukeyGH | Tukey's g-&-h Distribution

## -- U --

ud_allequal | Determine Nearly-Equal Elements
unique_allequal | Determine Nearly-Equal Elements
user_constraint | Formalize User-Specified Constraint of fmx Object

## -- V --

vcov.fmx | Variance-Covariance of fmx Object
vuniroot2 | Vectorised One Dimensional Root (Zero) Finding

## -- Z --

z2qGH | Tukey's g-&-h Distribution

## -- misc --

[-method | Subset of Components in fmx Object