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ZETCDFName:
with denoting the shape parameter and denoting the Riemann zeta function
Some sources parameterize this distribution with s = - 1 (so that the distribution is defined for s > 0). The cumulative distribution is computed by summing the probability mass function.
<SUBSET/EXCEPT/FOR qualification> where <x> is a positive integer variable, number, or parameter; <alpha> is a number or parameter greater than 1 that specifies the shape parameter; <y> is a variable or a parameter where the computed zeta cdf value is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET Y = ZETCDF(X1,2.3) PLOT ZETCDF(X,2.3) FOR X = 1 1 50
Devroye (1986), "Non-Uniform Random Variate Generation", Springer-Verlang, New York.
multiplot corner coordinates 0 0 100 95 multiplot scale factor 2 case asis label case asis title case asis tic offset units screen tic offset 3 3 title displacement 2 y1label displacement 17 x1label displacement 12 . y1label Probability ylimits 0 1 major ytic mark number 6 minor ytic mark number 3 x1label X line blank spike on . multiplot 2 2 . let alpha = 1.5 title Alpha = ^alpha plot zetcdf(x,alpha) for x = 1 1 20 . let alpha = 2.0 title Alpha = ^alpha plot zetcdf(x,alpha) for x = 1 1 20 . let alpha = 2.5 title Alpha = ^alpha plot zetcdf(x,alpha) for x = 1 1 20 . let alpha = 3.0 title Alpha = ^alpha plot zetcdf(x,alpha) for x = 1 1 20 . end of multiplot . justification center move 50 97 text Zeta Cumulative Distribution Functions
Date created: 6/5/2006 |