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PWPL

PWPL

Purpose


  This function evaluates, or returns samples drawn at random from, a
  PieceWise Power Law distribution.

Category


  Statistics

Calling Sequence


  result = pwpl(xs, alphas, x = x, random = random)

Inputs


  xmins: A vector specifying the abscissas of the powerlaw boundaries in
      increasing order. These are the lower bounds for each piecewise
      segment.
  alphas: The power law exponents at each of the boundaries

Keyword Parameters


  x: A set of abscissas against which to evaluate the power law
  random: Set to an integer n to return n samples drawn from this distribution

Outputs


  If x is set, the function returns f(x). If random is set, the
  function returns a set of numbers at random from dN/dx = f(x).
  f(x) is given by the following equation
  dN / dx = Const * x^alpha[i], for x[i] <= x < x[i+1]
  If x < x[0], then dN / dx = 0

See Also


  imf

Todo


  Implement RANDOM keyword

Modification History


  June 2009: Written by Chris Beaumont



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