admix_clustering | Clustering of K populations following admixture models |

admix_estim | Estimate the unknown parameters of the admixture model(s) under study |

admix_test | Hypothesis test between unknown components of the admixture models under study |

allGalaxies | Four galaxies (Carina, Sextans, Sculptor, Fornax) measurements of heliocentric velocities from SIMBAD astronomical database |

BVdk_contrast | Contrast as defined in Bordes & Vandekerkhove (2010) |

BVdk_contrast_gradient | Gradient of the contrast as defined in Bordes & Vandekerkhove (2010) |

BVdk_estimParam | Estimation of the parameters in a two-component admixture model with symmetric unknown density |

BVdk_ML_varCov_estimators | Maximum Likelihood estimation of the variance of the unknown density variance estimator in an admixture model |

BVdk_varCov_estimators | Estimation of the variance of the estimators in admixture models with symmetric unknown density. |

decontaminated_cdf | Provide the decontaminated cumulative distribution function (CDF) of the unknown component in an admixture model |

decontaminated_density | Provide the decontaminated density of the unknown component in an admixture model. |

detect_support_type | Detect the support of the random variables under study |

estimVarCov_empProcess | Variance-covariance matrix of the empirical process in an admixture model |

gaussianity_test | One-sample gaussianity test in admixture models using Bordes and Vandekerkhove estimation method |

IBM_2samples_test | Equality test of unknown component distributions in two admixture models with IBM approach |

IBM_empirical_contrast | Empirical computation of the contrast in the Inversion - Best Matching (IBM) method |

IBM_estimProp | Estimate the weights related to the proportions of the unknown components of the two admixture models |

IBM_estimVarCov_gaussVect | Nonparametric estimation of the variance-covariance matrix of the gaussian vector in IBM approach |

IBM_gap | Difference between the unknown empirical cumulative distribution functions in two admixture models |

IBM_greenLight_criterion | Green-light criterion to decide whether to perform full equality test between unknown components between two admixture models |

IBM_hessian_contrast | Hessian matrix of the contrast function in the Inversion - Best Matching (IBM) method |

IBM_k_samples_test | Equality test of unknown component distributions in K admixture models, with IBM approach |

IBM_tabul_stochasticInteg | Distribution of the contrast in the Inversion - Best Matching (IBM) method |

IBM_theoretical_contrast | Theoretical contrast in the Inversion - Best Matching (IBM) method |

IBM_theoretical_gap | Difference between unknown cumulative distribution functions of admixture models at some given point |

is_equal_knownComp | Test for equality of the known components between two admixture models |

kernel_cdf | Kernel estimation |

kernel_density | Kernel estimation |

knownComp_to_uniform | Transforms the known component of the admixture distribution to a Uniform distribution |

milkyWay | Heliocentric velocity measured for the Milky Way (from Walker, M. G., M. Mateo, E. W. Olszewski, O. Y. Gnedin, X. Wang, B. Sen, and M. Woodroofe (2007). Velocity dispersion profiles of seven dwarf spheroidal galaxies. Astrophysical J. 667(1), L53–L56). |

orthoBasis_coef | Compute expansion coefficients in a given orthonormal polynomial basis. |

orthoBasis_test_H0 | Equality test of unknown components between two admixture models using polynomial basis expansions |

PatraSen_cv_mixmodel | Cross-validation estimate (by Patra and Sen) of the unknown component weight as well as the unknown distribution in an admixture model |

PatraSen_density_est | Compute the estimate of the density of the unknown component in an admixture model |

PatraSen_dist_calc | Compute the distance to be minimized using Patra and Sen estimation technique in admixture models |

PatraSen_est_mix_model | Estimate by Patra and Sen the unknown component weight as well as the unknown distribution in admixture models |

plot.decontaminated_density | Plot the decontaminated density of the unknown component for an estimated admixture model |

plot_mixt_density | Plot the density of some given sample(s) with mixture distributions. |

poly_orthonormal_basis | Build an orthonormal basis to decompose some given probability density function |

print.admix_cluster | Results of the clustering algorithm performed over the K populations following admixture models. |

print.admix_estim | Print the results of estimated parameters from K admixture models |

print.admix_test | Print the results of statistical test for equality of unknown component distributions in admixture models |

rsimmix | Simulation of a two-component mixture model |

rsimmix_mix | Simulation of a two-component gaussian mixture with one component following a two-component gaussian mixture |

sim_gaussianProcess | Simulation of a Gaussian process |

stmf_small | Short-term Mortality Fluctuations (STMF) data series, restricted to 6 countries (Belgium, France, Italy, Netherlands, Spain, Germany). |

two_samples_test | Two-samples hypothesis test on the unknown component in admixture models |