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  "Title": "PH/MAP Parameter Estimation",
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  "Authors@R": "person(\"Hiroyuki\", \"Okamura\", , \"okamu@hiroshima-u.ac.jp\", role = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0001-6881-0593\"))",
  "Maintainer": "Hiroyuki Okamura <okamu@hiroshima-u.ac.jp>",
  "Description": "Estimation methods for phase-type distribution (PH) and\nMarkovian arrival process (MAP) from empirical data (point and\ngrouped data) and density function. The tool is based on the\nfollowing researches: Okamura et al. (2009)\n<doi:10.1109/TNET.2008.2008750>, Okamura and Dohi (2009)\n<doi:10.1109/QEST.2009.28>, Okamura et al. (2011)\n<doi:10.1016/j.peva.2011.04.001>, Okamura et al. (2013)\n<doi:10.1002/asmb.1919>, Horvath and Okamura (2013)\n<doi:10.1007/978-3-642-40725-3_10>, Okamura and Dohi (2016)\n<doi:10.15807/jorsj.59.72>.",
  "Encoding": "UTF-8",
  "License": "MIT + file LICENSE",
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  "URL": "https://github.com/okamumu/mapfit",
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  "Config/testthat/edition": "3",
  "Repository": "https://okamumu.r-universe.dev",
  "Date/Publication": "2026-09-17 23:28:27 UTC",
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  "Author": "Hiroyuki Okamura [aut, cre] (ORCID:\n<https://orcid.org/0000-0001-6881-0593>)",
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    "data.frame.map.time",
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    "data.frame.phase.time",
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    "herlang",
    "herlang.param",
    "map",
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    "map.jmoment",
    "map.mmoment",
    "map.param",
    "mapfit.group",
    "mapfit.point",
    "mmpp",
    "ph",
    "ph.bidiag",
    "ph.coxian",
    "ph.mean",
    "ph.moment",
    "ph.tridiag",
    "ph.var",
    "phfit.3mom",
    "phfit.density",
    "phfit.group",
    "phfit.point",
    "pphase",
    "rphase"
  ],
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      "name": "BCpAug89",
      "title": "Packet Trace Data",
      "object": "BCpAug89",
      "file": "BCpAug89.rda",
      "class": [
        "numeric"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "mapfit-package",
      "title": "mapfit: PH/MAP Parameter Estimation",
      "topics": [
        "mapfit-package",
        "mapfit"
      ]
    },
    {
      "page": "AERHMMClass",
      "title": "ErlangHMM for MAP with fixed phases",
      "topics": [
        "AERHMMClass"
      ]
    },
    {
      "page": "AHerlangClass",
      "title": "Hyper-Erlang distribution with a fixed phase",
      "topics": [
        "AHerlangClass"
      ]
    },
    {
      "page": "as.gph",
      "title": "Convert from HErlang to GPH",
      "topics": [
        "as.gph"
      ]
    },
    {
      "page": "as.map",
      "title": "Convert from ERHMM to MAP",
      "topics": [
        "as.map"
      ]
    },
    {
      "page": "BCpAug89",
      "title": "Packet Trace Data",
      "topics": [
        "BCpAug89"
      ]
    },
    {
      "page": "cf1",
      "title": "Create CF1",
      "topics": [
        "cf1"
      ]
    },
    {
      "page": "cf1.param",
      "title": "Create CF1 with data information",
      "topics": [
        "cf1.param"
      ]
    },
    {
      "page": "cf1.param.linear",
      "title": "Determine CF1 parameters",
      "topics": [
        "cf1.param.linear"
      ]
    },
    {
      "page": "cf1.param.power",
      "title": "Determine CF1 parameters",
      "topics": [
        "cf1.param.power"
      ]
    },
    {
      "page": "CF1Class",
      "title": "Canonical phase-type distribution",
      "topics": [
        "CF1Class"
      ]
    },
    {
      "page": "ctmc.st",
      "title": "Markov stationary",
      "topics": [
        "ctmc.st"
      ]
    },
    {
      "page": "data.frame.map.group",
      "title": "Create group data for map",
      "topics": [
        "data.frame.map.group"
      ]
    },
    {
      "page": "data.frame.map.time",
      "title": "Create data for map",
      "topics": [
        "data.frame.map.time"
      ]
    },
    {
      "page": "data.frame.phase.group",
      "title": "Create group data for phase",
      "topics": [
        "data.frame.phase.group"
      ]
    },
    {
      "page": "data.frame.phase.time",
      "title": "Create data for phase with weighted sample",
      "topics": [
        "data.frame.phase.time"
      ]
    },
    {
      "page": "dphase",
      "title": "Probability density function of PH distribution",
      "topics": [
        "dphase"
      ]
    },
    {
      "page": "emoptions",
      "title": "EM Options",
      "topics": [
        "emoptions"
      ]
    },
    {
      "page": "erhmm",
      "title": "Create ERHMM",
      "topics": [
        "erhmm"
      ]
    },
    {
      "page": "erhmm.param",
      "title": "Determine ERHMM parameters",
      "topics": [
        "erhmm.param"
      ]
    },
    {
      "page": "ERHMMClass",
      "title": "ErlangHMM for MAP",
      "topics": [
        "ERHMMClass"
      ]
    },
    {
      "page": "gmmpp",
      "title": "Create GMMPP",
      "topics": [
        "gmmpp"
      ]
    },
    {
      "page": "GMMPPClass",
      "title": "GMMPP: Approximation for MAP",
      "topics": [
        "GMMPPClass"
      ]
    },
    {
      "page": "gph.param",
      "title": "Generate GPH using the information on data",
      "topics": [
        "gph.param"
      ]
    },
    {
      "page": "GPHClass",
      "title": "General phase-type distribution",
      "topics": [
        "GPHClass"
      ]
    },
    {
      "page": "herlang",
      "title": "Create HErlang distribution",
      "topics": [
        "herlang"
      ]
    },
    {
      "page": "herlang.param",
      "title": "Determine hyper-Erlang parameters",
      "topics": [
        "herlang.param"
      ]
    },
    {
      "page": "HErlangClass",
      "title": "Hyper-Erlang distribution",
      "topics": [
        "HErlangClass"
      ]
    },
    {
      "page": "map",
      "title": "Create MAP",
      "topics": [
        "map"
      ]
    },
    {
      "page": "map.acf",
      "title": "k-lag correlation of MAP",
      "topics": [
        "map.acf"
      ]
    },
    {
      "page": "map.jmoment",
      "title": "Joint moments of MAP",
      "topics": [
        "map.jmoment"
      ]
    },
    {
      "page": "map.mmoment",
      "title": "Marginal moments of MAP",
      "topics": [
        "map.mmoment"
      ]
    },
    {
      "page": "map.param",
      "title": "Generate MAP using the information on data",
      "topics": [
        "map.param"
      ]
    },
    {
      "page": "MAPClass",
      "title": "General Markovian arrival process",
      "topics": [
        "MAPClass"
      ]
    },
    {
      "page": "mapfit.group",
      "title": "MAP fitting with grouped data",
      "topics": [
        "mapfit.group"
      ]
    },
    {
      "page": "mapfit.point",
      "title": "MAP fitting with point data",
      "topics": [
        "mapfit.point"
      ]
    },
    {
      "page": "mmpp",
      "title": "Create an MMPP",
      "topics": [
        "mmpp"
      ]
    },
    {
      "page": "ph",
      "title": "Create GPH distribution",
      "topics": [
        "ph"
      ]
    },
    {
      "page": "ph.bidiag",
      "title": "Create a bi-diagonal PH distribution",
      "topics": [
        "ph.bidiag"
      ]
    },
    {
      "page": "ph.coxian",
      "title": "Create a Coxian PH distribution",
      "topics": [
        "ph.coxian"
      ]
    },
    {
      "page": "ph.mean",
      "title": "Mean of PH distribution",
      "topics": [
        "ph.mean"
      ]
    },
    {
      "page": "ph.moment",
      "title": "Moments of PH distribution",
      "topics": [
        "ph.moment"
      ]
    },
    {
      "page": "ph.tridiag",
      "title": "Create a tri-diagonal PH distribution",
      "topics": [
        "ph.tridiag"
      ]
    },
    {
      "page": "ph.var",
      "title": "Variance of PH distribution",
      "topics": [
        "ph.var"
      ]
    },
    {
      "page": "phfit.3mom",
      "title": "PH fitting with three moments",
      "topics": [
        "phfit.3mom"
      ]
    },
    {
      "page": "phfit.density",
      "title": "PH fitting with density function",
      "topics": [
        "phfit.density"
      ]
    },
    {
      "page": "phfit.group",
      "title": "PH fitting with grouped data",
      "topics": [
        "phfit.group"
      ]
    },
    {
      "page": "phfit.point",
      "title": "PH fitting with point data",
      "topics": [
        "phfit.point"
      ]
    },
    {
      "page": "pphase",
      "title": "Distribution function of PH distribution",
      "topics": [
        "pphase"
      ]
    },
    {
      "page": "rphase",
      "title": "Sampling of PH distributions",
      "topics": [
        "rphase"
      ]
    }
  ],
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