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To cite the 'MonoPoly' package in publications use: 2016 for the sum of squares parameterisation; 2013 for Elphinstone type parameterisations or Hawkins' algorithm

Turlach BA, Murray K (2019). MonoPoly: Functions to Fit Monotone Polynomials. R package version 0.3-10.

Murray K, Müller S, Turlach BA (2016). “Fast and flexible methods for monotone polynomial fitting.” Journal of Statistical Computation and Simulation, 86(15), 2946–2966. http://doi.org/10.1080/00949655.2016.1139582.

Murray K, Müller S, Turlach BA (2013). “Revisiting fitting monotone polynomials to data.” Computational Statistics, 28(5), 1989–2005. http://doi.org/10.1007/s00180-012-0390-5.

Corresponding BibTeX entries:

  @Manual{,
    title = {MonoPoly: Functions to Fit Monotone Polynomials},
    author = {B. A. Turlach and K. Murray},
    year = {2019},
    note = {R package version 0.3-10},
  }
  @Article{,
    author = {K. Murray and S. M{\"u}ller and B. A. Turlach},
    title = {Fast and flexible methods for monotone polynomial
      fitting},
    journal = {Journal of Statistical Computation and Simulation},
    year = {2016},
    volume = {86},
    number = {15},
    pages = {2946--2966},
    url = {http://doi.org/10.1080/00949655.2016.1139582},
  }
  @Article{,
    author = {K. Murray and S. M{\"u}ller and B. A. Turlach},
    title = {Revisiting fitting monotone polynomials to data},
    journal = {Computational Statistics},
    year = {2013},
    volume = {28},
    number = {5},
    pages = {1989--2005},
    url = {http://doi.org/10.1007/s00180-012-0390-5},
  }

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.