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2011 for generalized additive model method; 2016 for beyond exponential family; 2004 for strictly additive GCV based model method and basics of gamm; 2017 for overview; 2003 for thin plate regression splines.

Wood SN (2011). “Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models.” Journal of the Royal Statistical Society (B), 73(1), 3-36.

Wood S, N., Pya, S"afken B (2016). “Smoothing parameter and model selection for general smooth models (with discussion).” Journal of the American Statistical Association, 111, 1548-1575.

Wood SN (2004). “Stable and efficient multiple smoothing parameter estimation for generalized additive models.” Journal of the American Statistical Association, 99(467), 673-686.

Wood S (2017). Generalized Additive Models: An Introduction with R, 2 edition. Chapman and Hall/CRC.

Wood SN (2003). “Thin-plate regression splines.” Journal of the Royal Statistical Society (B), 65(1), 95-114.

Corresponding BibTeX entries:

  @Article{,
    title = {Fast stable restricted maximum likelihood and marginal
      likelihood estimation of semiparametric generalized linear
      models},
    journal = {Journal of the Royal Statistical Society (B)},
    volume = {73},
    number = {1},
    pages = {3-36},
    year = {2011},
    author = {S. N. Wood},
  }
  @Article{,
    title = {Smoothing parameter and model selection for general smooth
      models (with discussion)},
    author = {S.N. Wood and {N.} and {Pya} and B. S{"a}fken},
    journal = {Journal of the American Statistical Association},
    year = {2016},
    pages = {1548-1575},
    volume = {111},
  }
  @Article{,
    title = {Stable and efficient multiple smoothing parameter
      estimation for generalized additive models},
    journal = {Journal of the American Statistical Association},
    volume = {99},
    number = {467},
    pages = {673-686},
    year = {2004},
    author = {S. N. Wood},
  }
  @Book{,
    title = {Generalized Additive Models: An Introduction with R},
    year = {2017},
    author = {S.N Wood},
    edition = {2},
    publisher = {Chapman and Hall/CRC},
  }
  @Article{,
    title = {Thin-plate regression splines},
    journal = {Journal of the Royal Statistical Society (B)},
    volume = {65},
    number = {1},
    pages = {95-114},
    year = {2003},
    author = {S. N. Wood},
  }

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.