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

## Documentation for package ‘QuantileGH’ version 0.1.3

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

## Help Pages

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 Objects from 'mixsmsn' to fmx Objects
as.fmx.Skew.normal | Convert Objects from 'mixsmsn' to fmx Objects
as.fmx.Skew.t | Convert Objects from 'mixsmsn' to fmx Objects
as.fmx.t | Convert Objects from 'mixsmsn' to fmx Objects
as_fmx_mixsmsn | Convert Objects from 'mixsmsn' to fmx Objects
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'
CK5 | CK5
clusterList | Clustering Observations for Creation of fmx Object
coef.fmx | Parameter Estimates of fmx object
confint.fmx | Confidence Interval of fmx Object
constraint_TeX | TeX Label of Parameter Constraint(s) of fmx Object
crossprod_inv | Inverse of X'X by QR Decomposition
CycD1 | CycD1
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
dSN | Skew Normal as in 'mixsmsn'
dST | Skew t as in 'mixsmsn'
duplicated_allequal | Determine Nearly-Equal Elements
fmx | Create Finite Mixture Distribution
fmx-class | Specification of fmx Class
fmx2dbl | Reparameterization of fmx Object
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
Kolmogorov_dist | One-Sample Kolmogorov Distance
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
mahalanobis_int | A Simpler and Faster Mahalanobis Distance
mixEM_pars | Names of Distribution Parameters of 'mixEM' Object
mixsmsn_skewNormal | Skew Normal as in 'mixsmsn'
mixsmsn_skewT | Skew t as in 'mixsmsn'
mlogis | Multinomial Probabilities & Logits
nobs.fitdist | Number of Observations in fitdist Object
nobs.fmx | Number of Observations in fmx Object
npar.fmx | Number of Parameters of fmx Object
outer_allequal | Test if Two double Vectors are Element-Wise (Nearly) Equal
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
pSN | Skew Normal as in 'mixsmsn'
pST | Skew t as in 'mixsmsn'
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
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
show-method | Show fmx Object
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
TukeyGH | Tukey's g-&-h Distribution
ud_allequal | Determine Nearly-Equal Elements
unique_allequal | Determine Nearly-Equal Elements
user_constraint | Formalize User-Specified Constraint of fmx Object
vcov.fmx | Variance-Covariance of fmx Object
vuniroot2 | Vectorised One Dimensional Root (Zero) Finding
z2qGH | Tukey's g-&-h Distribution
[-method | Subset of Components in fmx Object