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  "Maintainer": "Natalya Pya <nat.pya@gmail.com>",
  "Title": "Shape Constrained Additive Models",
  "Date": "2026-03-12",
  "Description": "Generalized additive models under shape constraints on the\ncomponent functions of the linear predictor. Models can include\nmultiple shape-constrained (univariate and bivariate) and\nunconstrained terms. Routines of the package 'mgcv' are used to\nset up the model matrix, print, and plot the results. Multiple\nsmoothing parameter estimation by the Generalized Cross\nValidation or similar. See Pya and Wood (2015)\n<doi:10.1007/s11222-013-9448-7> for an overview. A broad\nselection of shape-constrained smoothers, linear functionals of\nsmooths with shape constraints, and Gaussian models with AR1\nresiduals.",
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      "title": "Shape Constrained Additive Models",
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        "Penalized GLM",
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        "Penalized regression",
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      "topics": [
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    {
      "page": "smooth.construct.miso.smooth.spec",
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      "topics": [
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      "page": "smooth.construct.mpd.smooth.spec",
      "title": "Constructor for monotone decreasing P-splines in SCAMs",
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        "smooth.construct.mpdBy.smooth.spec"
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      "page": "smooth.construct.mpi.smooth.spec",
      "title": "Constructor for monotone increasing P-splines in SCAMs",
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    {
      "page": "smooth.construct.po.smooth.spec",
      "title": "Constructor for SCOP-splines with positivity constraint",
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      "page": "smooth.construct.tecvcv.smooth.spec",
      "title": "Tensor product smoothing constructor for bivariate function subject to double concavity constraint",
      "topics": [
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      "page": "smooth.construct.tecxcv.smooth.spec",
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    {
      "page": "smooth.construct.tecxcx.smooth.spec",
      "title": "Tensor product smoothing constructor for bivariate function subject to double convexity constraint",
      "topics": [
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    {
      "page": "smooth.construct.tedecv.smooth.spec",
      "title": "Tensor product smoothing constructor for bivariate function subject to mixed constraints: monotone decreasing constraint wrt the first covariate and concavity wrt the second one",
      "topics": [
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      "page": "smooth.construct.tedecx.smooth.spec",
      "title": "Tensor product smoothing constructor for bivariate function subject to mixed constraints: monotone decreasing constraint wrt the first covariate and convexity wrt the second one",
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    {
      "page": "smooth.construct.tedmi.smooth.spec",
      "title": "Tensor product smoothing constructor for bivariate function subject to double monotone increasing constraint",
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    {
      "page": "smooth.construct.temicv.smooth.spec",
      "title": "Tensor product smoothing constructor for bivariate function subject to mixed constraints: monotone increasing constraint wrt the first covariate and concavity wrt the second one",
      "topics": [
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    {
      "page": "smooth.construct.temicx.smooth.spec",
      "title": "Tensor product smoothing constructor for bivariate function subject to mixed constraints: monotone increasing constraint wrt the first covariate and convexity wrt the second one",
      "topics": [
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    },
    {
      "page": "smooth.construct.tescv.smooth.spec",
      "title": "Tensor product smoothing constructor for a bivariate function concave in the second covariate",
      "topics": [
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    {
      "page": "smooth.construct.tescx.smooth.spec",
      "title": "Tensor product smoothing constructor for a bivariate function convex in the second covariate",
      "topics": [
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      "page": "smooth.construct.tesmd1.smooth.spec",
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      "topics": [
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    {
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      "title": "Tensor product smoothing constructor for a bivariate function monotone decreasing in the second covariate",
      "topics": [
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