RAMSES	Systems Ecology
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DEFINITION MODULE Confidence;

  (*******************************************************************

    Module  Confidence     (Version 1.0)

      Copyright (c) 1991-2006 by Andreas Fischlin and ETH Zurich.

    Purpose   Computes confidence limits for various distributions.

    Remarks   Confidence limits c are computed by the inverse of the
              following distribution function
                                        c
                    Prob(x≤c) = F(c) = ∫ ƒ(x) dx
                                     -∞

              i.e.      -1
                   c = F (alfa) such that Prob(x≤c ) = F(c ) = alfa
                    l                             l       l

              respectively

                        -1
                   c = F (alfa) such that Prob(x≥c ) = 1 - F(c ) = alfa
                    r                             r           r


    Programming

      o Design
        Andreas Fischlin          08/12/1991

      o Implementation
        Andreas Fischlin          08/12/1991


    ETH Zurich
    Systems Ecology
    CHN E 35.1
    Universitaetstrasse 16
    8092 Zurich
    SWITZERLAND

    URLs:
        <mailto:RAMSES@env.ethz.ch>
        <http://www.sysecol.ethz.ch>
        <http://www.sysecol.ethz.ch/SimSoftware/RAMSES>


    Last revision of definition:  08/12/1991  AF

  *******************************************************************)

  PROCEDURE FInvNormalStand(alfa: REAL): REAL; (* µ = 0, sigma = 1 *)
  PROCEDURE FInvNormal(mu,sigma,alfa: REAL): REAL;
  PROCEDURE FInvStudent(nu: INTEGER; alfa: REAL): REAL;
  PROCEDURE FInvChiSquare(nu: INTEGER; alfa: REAL): REAL;
  PROCEDURE FInvF(nu1,nu2: INTEGER; alfa: REAL): REAL;

  PROCEDURE FInvBinomial(k,N: INTEGER; alfa: REAL): REAL;
  PROCEDURE FInvPoisson(lambda: INTEGER; alfa: REAL): REAL;
  PROCEDURE FInvNegBinomial(mu,k: REAL; alfa: REAL): REAL;

END Confidence.