{ "_id": "6a2fe5d73efcd9bda433b3ff", "Package": "matrixdist", "Type": "Package", "Title": "Statistics for Matrix Distributions", "Version": "1.1.9", "Date": "2023-08-01", "Authors@R": "c(person(\"Martin\", \"Bladt\", email = \"martinbladt@gmail.com\", role = c(\"aut\", \"cre\")),\nperson(\"Jorge\", \"Yslas\", email = \"jorge.yslas1@gmail.com\",\nrole = \"aut\"),\nperson(\"Alaric\", \"Müller\", email = \"muelleralaric@gmail.com\",\nrole = \"ctb\")\n)", "Maintainer": "Martin Bladt ", "URL": "https://github.com/martinbladt/matrixdist_1.0", "BugReports": "https://github.com/martinbladt/matrixdist_1.0/issues", "Description": "Tools for phase-type distributions including the following\nvariants: continuous, discrete, multivariate, in-homogeneous,\nright-censored, and regression. Methods for functional\nevaluation, simulation and estimation using the\nexpectation-maximization (EM) algorithm are provided for all\nmodels. The methods of this package are based on the following\nreferences. Asmussen, S., Nerman, O., & Olsson, M. (1996).\nFitting phase-type distributions via the EM algorithm, Olsson,\nM. (1996). Estimation of phase-type distributions from censored\ndata, Albrecher, H., & Bladt, M. (2019)\n, Albrecher, H., Bladt, M., & Yslas,\nJ. (2022) , Albrecher, H., Bladt, M.,\nBladt, M., & Yslas, J. (2022)\n, Bladt, M., & Yslas, J.\n(2022) , Bladt, M. (2022)\n, Bladt, M. (2023)\n, Albrecher, H., Bladt, M.,\n& Mueller, A. (2023) , Bladt, M. &\nYslas, J. (2023) .", "License": "GPL-3", "Encoding": "UTF-8", "RoxygenNote": "7.2.3", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-06-15 11:39:14 UTC", "User": "root" }, "Author": "Martin Bladt [aut, cre], Jorge Yslas [aut], Alaric Müller [ctb]", "Repository": "https://cran.r-universe.dev", "Date/Publication": "2023-08-08 12:46:43 UTC", "RemoteUrl": "https://github.com/cran/matrixdist", "RemoteRef": "HEAD", "RemoteSha": "a131284656c79614b8bfde2054e79735d9bc5d85", "MD5sum": "fb4fd888169c7a8792363eec3037c423", "_user": "cran", "_type": "src", "_file": "matrixdist_1.1.9.tar.gz", "_fileid": "12f2ded75501d0c39212c7972682365daca8c467b0a45999cdae818598883154", "_filesize": 476689, "_sha256": "12f2ded75501d0c39212c7972682365daca8c467b0a45999cdae818598883154", "_created": "2026-06-15T11:39:14.000Z", "_published": "2026-06-15T11:45:27.318Z", "_distro": "noble", "_jobs": [ { "job": 81411754260, "time": 239, "config": "linux-devel-arm64", "r": "4.7.0", "check": "OK", "artifact": "7637073417" }, { 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"page": "logLikelihoodMloglogistic_UNIs", "title": "Loglikelihood of PI with matrix-loglogistic using uniformization", "topics": [ "logLikelihoodMloglogistic_UNIs" ] }, { "page": "logLikelihoodMlognormal_PADE", "title": "Loglikelihood of matrix-lognormal using Pade", "topics": [ "logLikelihoodMlognormal_PADE" ] }, { "page": "logLikelihoodMlognormal_PADEs", "title": "Loglikelihood of PI with matrix-lognormal using Pade", "topics": [ "logLikelihoodMlognormal_PADEs" ] }, { "page": "logLikelihoodMLogNormal_RK", "title": "Loglikelihood of matrix-lognormal using Runge-Kutta", "topics": [ "logLikelihoodMlognormal_RK" ] }, { "page": "logLikelihoodMlognormal_RKs", "title": "Loglikelihood of PI matrix-lognormal using Runge-Kutta", "topics": [ "logLikelihoodMlognormal_RKs" ] }, { "page": "logLikelihoodMlognormal_UNI", "title": "Loglikelihood of matrix-lognormal using uniformization", "topics": [ "logLikelihoodMlognormal_UNI" ] }, { "page": "logLikelihoodMlognormal_UNIs", "title": "Loglikelihood of PI with matrix-lognormal using uniformization", "topics": [ "logLikelihoodMlognormal_UNIs" ] }, { "page": "logLikelihoodMpareto_PADE", "title": "Loglikelihood of matrix-Pareto using Pade", "topics": [ "logLikelihoodMpareto_PADE" ] }, { "page": "logLikelihoodMpareto_PADEs", "title": "Loglikelihood of PI with matrix-Pareto using Pade", "topics": [ "logLikelihoodMpareto_PADEs" ] }, { "page": "logLikelihoodMPareto_RK", "title": "Loglikelihood of matrix-Pareto using Runge-Kutta", "topics": [ "logLikelihoodMpareto_RK" ] }, { "page": "logLikelihoodMpareto_RKs", "title": "Loglikelihood of PI with matrix-Pareto using Runge-Kutta", "topics": [ "logLikelihoodMpareto_RKs" ] }, { "page": "logLikelihoodMpareto_UNI", "title": "Loglikelihood of matrix-Pareto using uniformization", "topics": [ "logLikelihoodMpareto_UNI" ] }, { "page": "logLikelihoodMpareto_UNIs", "title": "Loglikelihood of PI with matrix-Pareto using uniformization", "topics": [ "logLikelihoodMpareto_UNIs" ] }, { "page": "logLikelihoodMweibull_PADE", "title": "Loglikelihood of matrix-Weibull using Pade", "topics": [ "logLikelihoodMweibull_PADE" ] }, { "page": "logLikelihoodMweibull_PADEs", "title": "Loglikelihood of PI with matrix-Weibull using Pade", "topics": [ "logLikelihoodMweibull_PADEs" ] }, { "page": "logLikelihoodMWeibull_RK", "title": "Loglikelihood of matrix-Weibull using Runge-Kutta", "topics": [ "logLikelihoodMweibull_RK" ] }, { "page": "logLikelihoodMweibull_RKs", "title": "Loglikelihood of PI with matrix-Weibull using Runge-Kutta", "topics": [ "logLikelihoodMweibull_RKs" ] }, { "page": "logLikelihoodMweibull_UNI", "title": "Loglikelihood of matrix-Weibull using uniformization", "topics": [ "logLikelihoodMweibull_UNI" ] }, { "page": "logLikelihoodMweibull_UNIs", "title": "Loglikelihood of PI with matrix-Weibull using uniformization", "topics": [ "logLikelihoodMweibull_UNIs" ] }, { "page": "logLikelihoodPH_MoE", "title": "Loglikelihood for PH-MoE", "topics": [ "logLikelihoodPH_MoE" ] }, { "page": "logLikelihoodPH_PADE", "title": "Loglikelihood of phase-type using Pade approximation", "topics": [ "logLikelihoodPH_PADE" ] }, { "page": "logLikelihoodPH_PADEs", "title": "Loglikelihood of PI with phase-type using Pade", "topics": [ "logLikelihoodPH_PADEs" ] }, { "page": "logLikelihoodPH_RK", "title": "Loglikelihood of phase-type using Runge-Kutta", "topics": [ "logLikelihoodPH_RK" ] }, { "page": "logLikelihoodPH_RKs", "title": "Loglikelihood of PI with phase-type using Runge-Kutta", "topics": [ "logLikelihoodPH_RKs" ] }, { "page": "logLikelihoodPH_UNI", "title": "Loglikelihood of phase-type using uniformization", "topics": [ "logLikelihoodPH_UNI" ] }, { "page": "logLikelihoodPH_UNIs", "title": "Loglikelihood of PI with phase-type using uniformization", "topics": [ "logLikelihoodPH_UNIs" ] }, { "page": "LRT", "title": "New generic for likelihood ratio test between two matrix distribution models", "topics": [ "LRT" ] }, { "page": "LRT-ph-ph-method", "title": "LRT method for ph class", "topics": [ "LRT,ph,ph-method" ] }, { "page": "m_exp_sum", "title": "Computes exp(Sx) via series representation", "topics": [ "m_exp_sum" ] }, { "page": "marginal", "title": "New generic for the marginals of multivariate matrix distributions", "topics": [ "marginal" ] }, { "page": "marginal_expectation", "title": "Marginal conditional expectations", "topics": [ "marginal_expectation" ] }, { "page": "marginal-bivdph-method", "title": "Marginal method for bivdph class", "topics": [ "marginal,bivdph-method" ] }, { "page": "marginal-biviph-method", "title": "Marginal method for biviph class", "topics": [ "marginal,biviph-method" ] }, { "page": "marginal-bivph-method", "title": "Marginal method for bivph class", "topics": [ "marginal,bivph-method" ] }, { "page": "marginal-mdph-method", "title": "Marginal method for mdph class", "topics": [ "marginal,mdph-method" ] }, { "page": "marginal-miph-method", "title": "Marginal method for multivariate inhomogeneous phase-type distributions", "topics": [ "marginal,miph-method" ] }, { "page": "marginal-mph-method", "title": "Marginal method for multivariate phase-type distributions", "topics": [ "marginal,mph-method" ] }, { "page": "marginal-MPHstar-method", "title": "Marginal method for MPHstar class", "topics": [ "marginal,MPHstar-method" ] }, { "page": "matrix_exponential", "title": "Matrix exponential", "topics": [ "matrix_exponential" ] }, { "page": "matrix_inverse", "title": "Inverse of a matrix", "topics": [ "matrix_inverse" ] }, { "page": "matrix_power", "title": "Computes A^n", "topics": [ "matrix_power" ] }, { "page": "matrix_product", "title": "Product of two matrices", "topics": [ "matrix_product" ] }, { "page": "matrix_VanLoan", "title": "Creates the matrix (A1, B1 ; 0, A2)", "topics": [ "matrix_vanloan" ] }, { "page": "max_diagonal", "title": "Maximum diagonal element of a matrix", "topics": [ "max_diagonal" ] }, { "page": "maximum", "title": "New generic for maximum of two matrix distributions", "topics": [ "maximum" ] }, { "page": "maximum-dph-dph-method", "title": "Maximum method for discrete phase-type distributions", "topics": [ "maximum,dph,dph-method" ] }, { "page": "maximum-iph-iph-method", "title": "Maximum method for inhomogeneous phase-type distributions", "topics": [ "maximum,iph,iph-method" ] }, { "page": "maximum-ph-ph-method", "title": "Maximum method for phase-type distributions", "topics": [ "maximum,ph,ph-method" ] }, { "page": "mdph", "title": "Constructor function for multivariate discrete phase-type distributions", "topics": [ "mdph" ] }, { "page": "mdph-class", "title": "Multivariate discrete phase-type distributions", "topics": [ "mdph-class" ] }, { "page": "mdphdensity", "title": "Multivariate discrete phase-type density", "topics": [ "mdphdensity" ] }, { "page": "mean-bivdph-method", "title": "Mean method for bivdph class", "topics": [ "mean,bivdph-method" ] }, { "page": "mean-bivph-method", "title": "Mean Method for bivph class", "topics": [ "mean,bivph-method" ] }, { "page": "mean-dph-method", "title": "Mean method for discrete phase-type distributions", "topics": [ "mean,dph-method" ] }, { "page": "mean-mdph-method", "title": "Mean method for multivariate discrete phase-type distributions", "topics": [ "mean,mdph-method" ] }, { "page": "mean-mph-method", "title": "Mean method for multivariate phase-type distributions", "topics": [ "mean,mph-method" ] }, { "page": "mean-MPHstar-method", "title": "Mean method for MPHstar class", "topics": [ "mean,MPHstar-method" ] }, { "page": "mean-ph-method", "title": "Mean method for phase-type distributions", "topics": [ "mean,ph-method" ] }, { "page": "merge_matrices", "title": "Merges the matrices S11, S12 and S22 into a sub-intensity matrix", "topics": [ "merge_matrices" ] }, { "page": "mgevcdf", "title": "Matrix-GEV cdf", "topics": [ "mgevcdf" ] }, { "page": "mgevden", "title": "Matrix-GEV density", "topics": [ "mgevden" ] }, { "page": "mgf", "title": "New generic for mgf of matrix distributions", "topics": [ "mgf" ] }, { "page": "mgf-bivph-method", "title": "Mgf method for bivph class", "topics": [ "mgf,bivph-method" ] }, { "page": "mgf-mph-method", "title": "Mgf method for multivariate phase-type distributions", "topics": [ "mgf,mph-method" ] }, { "page": "mgf-ph-method", "title": "Mgf method for phase-type distributions", "topics": [ "mgf,ph-method" ] }, { "page": "mGompertzcdf", "title": "Matrix-Gompertz cdf", "topics": [ "mgompertzcdf" ] }, { "page": "mGompertzden", "title": "Matrix-Gompertz density", "topics": [ "mgompertzden" ] }, { "page": "minimum", "title": "New generic for minimum of two matrix distributions", "topics": [ "minimum" ] }, { "page": "minimum-dph-dph-method", "title": "Minimum method for discrete phase-type distributions", "topics": [ "minimum,dph,dph-method" ] }, { "page": "minimum-iph-iph-method", "title": "Minimum method for inhomogeneous phase-type distributions", "topics": [ "minimum,iph,iph-method" ] }, { "page": "minimum-ph-ph-method", "title": "Minimum method for phase-type distributions", "topics": [ "minimum,ph,ph-method" ] }, { "page": "miph", "title": "Constructor function for multivariate inhomogeneous phase-type distributions", "topics": [ "miph" ] }, { "page": "miph-class", "title": "Multivariate inhomogeneous phase-type distributions", "topics": [ "miph-class" ] }, { "page": "mixture", "title": "New generic for mixture of two matrix distributions", "topics": [ "mixture" ] }, { "page": "mixture-dph-dph-method", "title": "Mixture method for phase-type distributions", "topics": [ "mixture,dph,dph-method" ] }, { "page": "mixture-ph-ph-method", "title": "Mixture method for phase-type distributions", "topics": [ "mixture,ph,ph-method" ] }, { "page": "mLogLogisticcdf", "title": "Matrix-loglogistic cdf", "topics": [ "mloglogisticcdf" ] }, { "page": "mLogLogisticden", "title": "Matrix-loglogistic density", "topics": [ "mloglogisticden" ] }, { "page": "mLogNormalcdf", "title": "Matrix-lognormal cdf", "topics": [ "mlognormalcdf" ] }, { "page": "mLogNormalden", "title": "Matrix-lognormal density", "topics": [ "mlognormalden" ] }, { "page": "MoE", "title": "New generic for mixture-of-experts regression with matrix distributions", "topics": [ "MoE" ] }, { "page": "MoE-bivdph-method", "title": "MoE method for bivdph Class", "topics": [ "MoE,bivdph-method" ] }, { "page": "MoE-dph-method", "title": "MoE method for dph Class", "topics": [ "MoE,dph-method" ] }, { "page": "MoE-mdph-method", "title": "MoE method for mdph Class", "topics": [ "MoE,mdph-method" ] }, { "page": "MoE-mph-method", "title": "Fit method for mph/miph class, using mixture-of-experts regression", "topics": [ "MoE,mph-method" ] }, { "page": "MoE-ph-method", "title": "MoE method for ph Class", "topics": [ "MoE,ph-method" ] }, { "page": "moment", "title": "New generic for moments of matrix distributions", "topics": [ "moment" ] }, { "page": "moment-bivdph-method", "title": "Moment method for bivdph class", "topics": [ "moment,bivdph-method" ] }, { "page": "moment-bivph-method", "title": "Moment method for bivph class", "topics": [ "moment,bivph-method" ] }, { "page": "moment-dph-method", "title": "Moment method for discrete phase-type distributions", "topics": [ "moment,dph-method" ] }, { "page": "moment-mdph-method", "title": "Moment method for multivariate discrete phase-type distributions", "topics": [ "moment,mdph-method" ] }, { "page": "moment-mph-method", "title": "Moment method for multivariate phase-type distributions", "topics": [ "moment,mph-method" ] }, { "page": "moment-ph-method", "title": "Moment method for phase-type distributions", "topics": [ "moment,ph-method" ] }, { "page": "mParetocdf", "title": "Matrix-Pareto cdf", "topics": [ "mparetocdf" ] }, { "page": "mParetoden", "title": "Matrix-Pareto density", "topics": [ "mparetoden" ] }, { "page": "mph", "title": "Constructor function for multivariate phase-type distributions", "topics": [ "mph" ] }, { "page": "mph-class", "title": "Multivariate phase-type distributions", "topics": [ "mph-class" ] }, { "page": "MPHstar", "title": "Constructor function for multivariate phase-type distributions (MPH* class)", "topics": [ "MPHstar" ] }, { "page": "MPHstar_data_aggregation", "title": "Prepare data for the MPHstar_EMstep_UNI", "topics": [ "MPHstar_data_aggregation" ] }, { "page": "MPHstar_EMstep_UNI", "title": "EM step using Uniformization for MPHstar class", "topics": [ "MPHstar_EMstep_UNI" ] }, { "page": "MPHstar-class", "title": "Multivariate phase-type distributions obtained by transformation via rewards", "topics": [ "MPHstar-class" ] }, { "page": "mWeibullcdf", "title": "Matrix-Weibull cdf", "topics": [ "mweibullcdf" ] }, { "page": "mWeibullden", "title": "Matrix-Weibull density", "topics": [ "mweibullden" ] }, { "page": "n_pos", "title": "Find how many states have positive reward", "topics": [ "n_pos" ] }, { "page": "new_state", "title": "New state in a Markov jump process", "topics": [ "new_state" ] }, { "page": "Nfold", "title": "New generic for N-fold convolution of two matrix distributions", "topics": [ "Nfold" ] }, { "page": "Nfold-dph-method", "title": "Nfold method for phase-type distributions", "topics": [ "Nfold,dph-method" ] }, { "page": "pgf", "title": "New generic for pgf of matrix distributions", "topics": [ "pgf" ] }, { "page": "pgf-bivdph-method", "title": "Pgf method for bivariate discrete phase-type distributions", "topics": [ "pgf,bivdph-method" ] }, { "page": "pgf-dph-method", "title": "Pgf Method for discrete phase-type distributions", "topics": [ "pgf,dph-method" ] }, { "page": "pgf-mdph-method", "title": "Pgf method for multivariate discrete phase-type distributions", "topics": [ "pgf,mdph-method" ] }, { "page": "ph", "title": "Constructor function for phase-type distributions", "topics": [ "ph" ] }, { "page": "ph_laplace", "title": "Laplace transform of a phase-type distribution", "topics": [ "ph_laplace" ] }, { "page": "ph-class", "title": "Phase-type distributions", "topics": [ "ph-class" ] }, { "page": "phcdf", "title": "Phase-type cdf", "topics": [ "phcdf" ] }, { "page": "phdensity", "title": "Phase-type density", "topics": [ "phdensity" ] }, { "page": "plus_states", "title": "Find which states have positive reward", "topics": [ "plus_states" ] }, { "page": "pow2_matrix", "title": "Computes A^(2^n)", "topics": [ "pow2_matrix" ] }, { "page": "quan", "title": "New generic for the quantile of matrix distributions", "topics": [ "quan" ] }, { "page": "quan-ph-method", "title": "Quantile method for phase-type distributions", "topics": [ "quan,ph-method" ] }, { "page": "random_reward", "title": "Random reward matrix", "topics": [ "random_reward" ] }, { "page": "random_structure", "title": "Random structure of a phase-type", "topics": [ "random_structure" ] }, { "page": "random_structure_bivph", "title": "Random structure of a bivariate phase-type", "topics": [ "random_structure_bivph" ] }, { "page": "rdphasetype", "title": "Simulate discrete phase-type", "topics": [ "rdphasetype" ] }, { "page": "reg", "title": "New generic for regression with matrix distributions", "topics": [ "reg" ] }, { "page": "reg-ph-method", "title": "Regression method for ph Class", "topics": [ "reg,ph-method" ] }, { "page": "revers_data_trans", "title": "Applies the inverse of the GEV transformation but giving back the resulting vector in reverse order", "topics": [ "revers_data_trans" ] }, { "page": "rew_sanity_check", "title": "Transform a reward matrix with very small rewards to avoid numerical problems", "topics": [ "rew_sanity_check" ] }, { "page": "riph", "title": "Random inhomogeneous phase-type", "topics": [ "riph" ] }, { "page": "rmatrixgev", "title": "Random matrix GEV", "topics": [ "rmatrixgev" ] }, { "page": "rMDPHstar", "title": "Simulate MDPH*", "topics": [ "rMDPHstar" ] }, { "page": "rMIPHstar", "title": "Simulate a MIPH* random vector", "topics": [ "rMIPHstar" ] }, { "page": "rMPHstar", "title": "Simulate a MPH* random vector", "topics": [ "rMPHstar" ] }, { "page": "rphasetype", "title": "Simulate phase-type", "topics": [ "rphasetype" ] }, { "page": "runge_kutta", "title": "Runge-Kutta for the calculation of the a and b vectors and the c matrix in a EM step", "topics": [ "runge_kutta" ] }, { "page": "show-bivdph-method", "title": "Show method for bivariate discrete phase-type distributions", "topics": [ "show,bivdph-method" ] }, { "page": "show-biviph-method", "title": "Show method for bivariate inhomogeneous phase-type distributions", "topics": [ "show,biviph-method" ] }, { "page": "show-bivph-method", "title": "Show method for bivariate phase-type distributions", "topics": [ "show,bivph-method" ] }, { "page": "show-dph-method", "title": "Show method for discrete phase-type distributions", "topics": [ "show,dph-method" ] }, { "page": "show-iph-method", "title": "Show method for inhomogeneous phase-type distributions", "topics": [ "show,iph-method" ] }, { "page": "show-mdph-method", "title": "Show method for multivariate discrete phase-type distributions", "topics": [ "show,mdph-method" ] }, { "page": "show-miph-method", "title": "Show method for multivariate inhomogeneous phase-type distributions", "topics": [ "show,miph-method" ] }, { "page": "show-mph-method", "title": "Show method for multivariate phase-type distributions", "topics": [ "show,mph-method" ] }, { "page": "show-MPHstar-method", "title": "Show method for multivariate phase-type distributions", "topics": [ "show,MPHstar-method" ] }, { "page": "show-ph-method", "title": "Show method for phase-type distributions", "topics": [ "show,ph-method" ] }, { "page": "show-sph-method", "title": "Show method for survival phase-type objects", "topics": [ "show,sph-method" ] }, { "page": "sim", "title": "New generic for simulating matrix distributions", "topics": [ "sim" ] }, { "page": "sim-bivdph-method", "title": "Simulation method for bivariate discrete phase-type distributions", "topics": [ "sim,bivdph-method" ] }, { "page": "sim-biviph-method", "title": "Simulation method for bivariate inhomogeneous phase-type distributions", "topics": [ "sim,biviph-method" ] }, { "page": "sim-bivph-method", "title": "Simulation method for bivariate phase-type distributions", "topics": [ "sim,bivph-method" ] }, { "page": "sim-dph-method", "title": "Simulation method for phase-type distributions", "topics": [ "sim,dph-method" ] }, { "page": "sim-iph-method", "title": "Simulation method for inhomogeneous phase-type distributions", "topics": [ "sim,iph-method" ] }, { "page": "sim-mdph-method", "title": "Simulation method for multivariate discrete phase-type distributions", "topics": [ "sim,mdph-method" ] }, { "page": "sim-miph-method", "title": "Simulation method for inhomogeneous multivariate phase-type distributions", "topics": [ "sim,miph-method" ] }, { "page": "sim-mph-method", "title": "Simulation method for multivariate phase-type distributions", "topics": [ "sim,mph-method" ] }, { "page": "sim-MPHstar-method", "title": "Simulation method for multivariate phase-type distributions", "topics": [ "sim,MPHstar-method" ] }, { "page": "sim-ph-method", "title": "Simulation method for phase-type distributions", "topics": [ "sim,ph-method" ] }, { "page": "sph", "title": "Constructor function for survival phase-type objects", "topics": [ "sph" ] }, { "page": "sph-class", "title": "Survival analysis for phase-type distributions", "topics": [ "sph-class" ] }, { "page": "sum_dph", "title": "Computes the initial distribution and sub-intensity of the sum of two discrete phase-type distributed random variables", "topics": [ "sum_dph" ] }, { "page": "sum_ph", "title": "Computes the initial distribution and sub-intensity of the sum of two phase-type distributed random variables.", "topics": [ "sum_ph" ] }, { "page": "TVR", "title": "New generic for transformation via rewards of a matrix distribution", "topics": [ "TVR" ] }, { "page": "tvr_dph", "title": "Performs TVR for discrete phase-type distributions", "topics": [ "tvr_dph" ] }, { "page": "tvr_ph", "title": "Performs TVR for phase-type distributions", "topics": [ "tvr_ph" ] }, { "page": "TVR-dph-method", "title": "TVR Method for dph Class", "topics": [ "TVR,dph-method" ] }, { "page": "TVR-ph-method", "title": "TVR method for ph class", "topics": [ "TVR,ph-method" ] }, { "page": "var-bivdph-method", "title": "Var method for bivdph class", "topics": [ "var,bivdph-method" ] }, { "page": "var-bivph-method", "title": "Var method for bivph class", "topics": [ "var,bivph-method" ] }, { "page": "var-dph-method", "title": "Var method for discrete phase-type distributions", "topics": [ "var,dph-method" ] }, { "page": "var-mdph-method", "title": "Var method for multivariate discrete phase-type distributions", "topics": [ "var,mdph-method" ] }, { "page": "var-mph-method", "title": "Var method for multivariate phase-type distributions", "topics": [ "var,mph-method" ] }, { "page": "var-MPHstar-method", "title": "Var method for MPHstar class", 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