Fitting of Univariate Mixture Distributions to Data using Various Approaches

[Up] [Top]

Documentation for package ‘MixtureFitting’ version 0.6.1

Help Pages

abs_convergence Absolute Convergence Check.
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
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
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.
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.