# Fitting of Univariate Mixture Distributions to Data using Various Approaches

## Documentation for package ‘MixtureFitting’ version 0.8.0

- DESCRIPTION file

## Help Pages

abs_convergence | Absolute Convergence Check.
aic | Akaike Information Criterion (AIC)
bhattacharyya_dist | Bhattacharyya distance for univariate Gaussian distributions.
bic | Bayesian Information Criterion (BIC)
cmm_fit_em | Estimate Cauchy Mixture parameters using Expectation Maximization.
cmm_fit_hwhm_spline_deriv | Estimate Cauchy Mixture Parameters Using Derivatives and Half-Width at Half-Maximum Method.
cmm_init_vector | Estimate Cauchy Mixture parameters using Expectation Maximization.
cmm_init_vector_kmeans | Estimate Cauchy Mixture parameters using Expectation Maximization.
cmm_intersections | Intersections of Two Cauchy Distributions
dcgmm | Density of The Cauchy-Gaussian Distribution
dcmm | Density of The Cauchy Mixture Distribution
dgmm | The Gaussian Mixture Distribution
digamma_approx | Calculate Approximate Value of The Digamma Function.
ds | Density of The Student's t Model
dsmm | Density of The Student's t Mixture Model
dsnmm | Density of The Skew-Normal Mixture Model
dvmm | Density of The von Mises Mixture Model.
gmm_fit_em | Estimate Gaussian Mixture parameters using Expectation Maximization.
gmm_fit_hwhm | Estimate Gaussian Mixture Parameters Using Half-Width at Half-Maximum Method.
gmm_fit_hwhm_spline_deriv | Estimate Gaussian Mixture Parameters Using Derivatives and Half-Width at Half-Maximum Method.
gmm_fit_kmeans | Estimate Gaussian Mixture parameters from kmeans.
gmm_init_vector | Estimate Gaussian Mixture parameters using Expectation Maximization.
gmm_init_vector_kmeans | Estimate Gaussian Mixture parameters using Expectation Maximization.
gmm_init_vector_quantile | Estimate Gaussian Mixture parameters using Expectation Maximization.
gmm_intersections | Intersections of Two Gaussian Distributions
gmm_merge_components | Merge two Gaussian components into one.
gmm_size_probability | The Gaussian Mixture Distribution
gmm_size_probability_nls | The Gaussian Mixture Distribution
gradient_descent | Gradient Descent
kldiv | Kullback-Leibler Divergence of _i_th Student's t Mixture component.
kmeans_circular | K-Means Clustering for Points on Circle
llcmm | Log-likelihood for Cauchy Mixture
llgmm | Log-likelihood for Gaussian Mixture
llgmm_conservative | Log-likelihood for Gaussian Mixture
llgmm_opposite | Opposite Log-likelihood for Gaussian Mixture
llsmm | Log-likelihood for Student's t Mixture
llsnmm | Log-likelihood for Skew-Normal Mixture
llvmm | Log-likelihood for von Mises Mixture
llvmm_opposite | Opposite Log-likelihood for von Mises Mixture
mk_fit_images | Mixture Distribution Modeling
plot_circular_hist | Mixture Distribution Modeling
plot_density | Mixture Distribution Modeling
polyroot_NR | Find one real polynomial root using Newton-Raphson method.
pssd | Penalized Sum of Squared Differences Using Gaussian Mixture Distribution
pssd_gradient | Penalized Sum of Squared Differences Using Gaussian Mixture Distribution
ratio_convergence | Ratio Convergence Check.
rcmm | Random Sample of The Cauchy Mixture Distribution
rgmm | Random Sample of the Gaussian Mixture Distribution
rsimplex_start | Nelder-Mead's Simplex Method for Function Minimization.
rvmm | Random Sample of the von Mises Mixture Model.
simplex | Nelder-Mead's Simplex Method for Function Minimization.
smm_fit_em | Estimate Student's t Mixture parameters using Expectation Maximization.
smm_fit_em_APK10 | Estimate Student's t Mixture parameters using Expectation Maximization.
smm_fit_em_CWL04 | Greedily estimate Student's t Mixture parameters using Expectation Maximization.
smm_fit_em_GNL08 | Estimate Student's t Mixture parameters using Expectation Maximization.
smm_init_vector | Estimate Student's t Mixture parameters using Expectation Maximization.
smm_init_vector_kmeans | Estimate Student's t Mixture parameters using Expectation Maximization.
smm_split_component | Split a component of Student's t-distribution in two.
snmm_fit_em | Estimate Skew-Normal Mixture parameters using Expectation Maximization.
snmm_init_vector | Estimate Skew-Normal Mixture parameters using Expectation Maximization.
ssd | Sum of Squared Differences Using Gaussian Mixture Distribution
ssd_gradient | Sum of Squared Differences Using Gaussian Mixture Distribution
s_fit_primitive | Estimate Student's t distribution parameters using Batch Approximation Algorithm.
vmm_fit_em | Estimate von Mises Mixture parameters using Expectation Maximization.
vmm_fit_em_by_diff | Estimate von Mises Mixture parameters using Expectation Maximization.
vmm_fit_em_by_ll | Estimate von Mises Mixture parameters using Expectation Maximization.
vmm_init_vector | Estimate von Mises Mixture parameters using Expectation Maximization.
wmedian | Calculate Weighted Median.