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  "Package": "mable",
  "Title": "Maximum Approximate Bernstein/Beta Likelihood Estimation",
  "Version": "4.1.1",
  "Date": "2024-09-27",
  "Authors@R": "c(person(\"Zhong\", \"Guan\", role=c(\"aut\",\"cre\"), email=\"zguan@iu.edu\"))",
  "Author": "Zhong Guan [aut, cre]",
  "Maintainer": "Zhong Guan <zguan@iu.edu>",
  "Description": "Fit data from a continuous population with a smooth\ndensity on finite interval by an approximate Bernstein\npolynomial model which is a mixture of certain beta\ndistributions and find maximum approximate Bernstein likelihood\nestimator of the unknown coefficients. Consequently, maximum\nlikelihood estimates of the unknown density, distribution\nfunctions, and more can be obtained. If the support of the\ndensity is not the unit interval then transformation can be\napplied. This is an implementation of the methods proposed by\nthe author of this package published in the Journal of\nNonparametric Statistics: Guan (2016)\n<doi:10.1080/10485252.2016.1163349> and Guan (2017)\n<doi:10.1080/10485252.2017.1374384>. For data with covariates,\nunder some semiparametric regression models such as Cox\nproportional hazards model and the accelerated failure time\nmodel, the baseline survival function can be estimated smoothly\nbased on general interval censored data.",
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      "title": "Mixture Beta Distribution",
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        "Mixture beta distribution"
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        "pmixbeta",
        "qmixbeta",
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        "pmixmvbeta",
        "rmixmvbeta"
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      "title": "Maximum Approximate Bernstein Likelihood Estimate of Univariate or Multivariate Density Function",
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      ],
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        "mable"
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      "title": "Mable fit of Accelerated Failure Time Model",
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        "interval censoring"
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      ]
    },
    {
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        "multivariate Bernstein polynomial model for copula"
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      "title": "Control parameters for mable fit",
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        "Bernstein polynomial model",
        "Density deconvolution"
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        "mable.group"
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      "title": "Estimate of Hellinger Correlation between two random variables and Bootstrap",
      "concept": [
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        "multivariate Bernstein polynomial model for copula"
      ],
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        "mable.hellcorr"
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      "title": "Maximum Approximate Bernstein Likelihood Estimate of Multivariate Density Function",
      "concept": [
        "density estimation",
        "multivariate Bernstein polynomial model"
      ],
      "topics": [
        "mable.mvar"
      ]
    },
    {
      "page": "mable.ph",
      "title": "Mable fit of Cox's proportional hazards regression model",
      "concept": [
        "Cox proportional hazards model",
        "interval censoring"
      ],
      "topics": [
        "mable.ph"
      ]
    },
    {
      "page": "mable.po",
      "title": "Mable fit of proportional odds rate regression model",
      "concept": [
        "Generalized proportional odds model",
        "interval censoring"
      ],
      "topics": [
        "mable.po"
      ]
    },
    {
      "page": "mable.reg",
      "title": "Mable fit of semiparametric regression model based on interval censored data",
      "concept": [
        "Cox proportional hazards model",
        "accelerated failure time model",
        "interval censoring"
      ],
      "topics": [
        "mable.reg"
      ]
    },
    {
      "page": "made.copula",
      "title": "Minimum Approximate Distance Estimate of Copula Density",
      "topics": [
        "made.copula"
      ]
    },
    {
      "page": "made.density",
      "title": "Minimum Approximate Distance Estimate of Density Function with an optimal model degree",
      "topics": [
        "made.density"
      ]
    },
    {
      "page": "made.mvar",
      "title": "Minimum Approximate Distance Estimate of Multivariate Density Function",
      "concept": [
        "density estimation",
        "multivariate Bernstein polynomial model"
      ],
      "topics": [
        "made.mvar"
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    },
    {
      "page": "madem.copula",
      "title": "Minimum Approximate Distance Estimate of Copula with given model degrees",
      "topics": [
        "madem.copula"
      ]
    },
    {
      "page": "madem.density",
      "title": "Minimum Approximate Distance Estimate of univariate Density Function with given model degree(s)",
      "topics": [
        "madem.density"
      ]
    },
    {
      "page": "maple.aft",
      "title": "Mable fit of AFT model with given regression coefficients",
      "concept": [
        "Accelerated failure time model",
        "interval censoring"
      ],
      "topics": [
        "maple.aft"
      ]
    },
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      "page": "maple.dr",
      "title": "Maximum approximate profile likelihood estimate of the density ratio model",
      "topics": [
        "maple.dr"
      ]
    },
    {
      "page": "maple.dr.group",
      "title": "Maximum approximate profile likelihood estimate of the density ratio model for grouped data with given regression coefficients",
      "topics": [
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      ]
    },
    {
      "page": "maple.ph",
      "title": "Mable fit of the PH model with given regression coefficients",
      "concept": [
        "Cox proportional hazards model",
        "interval censoring"
      ],
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      ]
    },
    {
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      "title": "Mable fit of the PO model with given regression coefficients",
      "concept": [
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        "proportional odds model"
      ],
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        "maple.po"
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      "title": "The mixing proportions of marginal distribution from the mixture of multivariate beta distribution",
      "topics": [
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    {
      "page": "mvecdf",
      "title": "Multivariate empirical cumulative distribution evaluated at sample data",
      "topics": [
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      ]
    },
    {
      "page": "mvpbeta",
      "title": "Component Beta cumulative distribution functions of the Bernstein polynomial model",
      "topics": [
        "mvpbeta"
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      "page": "optim.gcp",
      "title": "Choosing optimal model degree by gamma change-point method",
      "topics": [
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    },
    {
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      "title": "mable with degree selected by the method of moment and method of mode",
      "topics": [
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    {
      "page": "pancreas",
      "title": "Pancreatic Cancer Biomarker Data",
      "topics": [
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    },
    {
      "page": "plot.mable",
      "title": "Plot mathod for class 'mable'",
      "topics": [
        "plot.mable"
      ]
    },
    {
      "page": "plot.mable_reg",
      "title": "Plot mathod for class 'mable_reg'",
      "topics": [
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    },
    {
      "page": "se.coef.dr",
      "title": "Standard errors of coefficients in density ratio model",
      "topics": [
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    {
      "page": "summary.mable",
      "title": "Summary mathods for classes 'mable' and 'mable_reg'",
      "topics": [
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        "summary.mable_reg"
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      "page": "umc.mat",
      "title": "Matrix of the uniform marginal constraints",
      "topics": [
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    {
      "page": "Vaal.Flow",
      "title": "Vaal River Annual Flow Data",
      "topics": [
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    {
      "page": "weib.gpo",
      "title": "Generalized PO model with Weibull baseline",
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  "_vignettes": [
    {
      "source": "mable.Rmd",
      "filename": "mable.html",
      "title": "Maximum Approximate Bernstein/Beta Likelihood Estimation in R package 'mable'",
      "author": "Zhong Guan",
      "engine": "knitr::knitr",
      "headings": [
        "Introduction",
        "One-sample Problems",
        "Raw Data",
        "Example: Vaal River Annual Flow Data",
        "Example: The Old Faithful data \\label",
        "Grouped Data",
        "Example: The Chicken Embryo Data",
        "Contaminated Data--Density Deconvolution",
        "Example: A Simulated Normal Dataset",
        "Interval Censored Data",
        "Example: The Breast Cosmesis Data",
        "Multivariate Data",
        "Example: The Old Faithful Data",
        "Event Time Data with Covariates",
        "Accelerated Failure Time Model",
        "Example: Breast Cosmesis Data",
        "Proportional Hazards Model",
        "Example: Ovarian Cancer Survival Data",
        "Proportional Odds Model",
        "Example: HIV Infection time Data",
        "Two-sample Data",
        "Density Ratio Model",
        "Example: Coronary Heart Disease Data",
        "Example: Pancreatic Cancer Biomarker Data",
        "References"
      ],
      "created": "2020-01-12 20:50:07",
      "modified": "2024-09-28 02:58:53",
      "commits": 8
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