Re: [R] Orthogonal polynomials and poly

From: Prof Brian Ripley <ripley_at_stats.ox.ac.uk>
Date: Thu, 03 Jul 2008 12:59:49 +0100 (BST)

On Tue, 1 Jul 2008, giovanni parrinello wrote:

> Dear All,
> I have found in the poly help this sentence:
>
> The orthogonal polynomial is summarized by the coefficients, which can be
> used to evaluate it via the three-term recursion given in Kennedy & Gentle
> (1980, pp. 343?4), and used in the predict part of the code.
>
> My question: which type of orthogonal polynomials are used by this function?
> Hrmite, legendre..

>From the help page:

      Returns or evaluates orthogonal polynomials of degree 1 to
      'degree' over the specified set of points 'x'.

If you don't know what orthogonal polynomials over a finite set are, please look them up in the references given. Hermite (sic), Legendre (sic) etc are for continuous variables with inner-products given by integrals.

> TIA
> Giovanni

-- 
Brian D. Ripley,                  ripley_at_stats.ox.ac.uk
Professor of Applied Statistics,  http://www.stats.ox.ac.uk/~ripley/
University of Oxford,             Tel:  +44 1865 272861 (self)
1 South Parks Road,                     +44 1865 272866 (PA)
Oxford OX1 3TG, UK                Fax:  +44 1865 272595

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Received on Thu 03 Jul 2008 - 12:04:48 GMT

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