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SDEPDFName:
For = 0, the skew double exponential reduces to the double exponential distribution. As goes to infinity, the skew double exponential tends to the exponential distribution. The standard skew double exponential distribution can be generalized with a location parameter, , and a scale parameter . Simply replace x with
in the above formula. The skew double exponential distribution is also known as the skew Laplace distribution.
<SUBSET/EXCEPT/FOR qualification> where <x> is a variable or a parameter; <lambda> is a number of parameter that specifies the value of the shape parameter; <loc> is an optional number or parameter that specifies the value of the location parameter; <scale> is an optional positive number or parameter that specifies the value of the scale parameter; <y> is a variable or a parameter (depending on what <x> is) where the computed skew double exponential pdf value is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET Y = SDEPDF(X1,LAMBDA) PLOT SDEPDF(X,LAMBDA) FOR X = -5 0.01 5
LET Y = SKEW DOUBLE EXPONENTIAL RANDOM NUMBERS FOR I = 1 1 N To generate a skew double exponential probability plot or a skew double exponential Kolmogorov-Smirnov or chi-square goodness of fit test, enter the following commands
SKEW DOUBLE EXPONENTIAL PROBABILITY PLOT Y SKEW DOUBLE EXPONENTIAL KOLMOGOROV SMIRNOV GOODNESS OF FIT Y SKEW DOUBLE EXPONENTIAL CHI-SQUARE GOODNESS OF FIT Y To generate a PPCC or Kolmogorov-Smirnov plot, enter the following commands
LET LAMBDA2 = <value> SKEW DOUBLE EXPONENTIAL PPCC PLOT Y SKEW DOUBLE EXPONENTIAL KS PLOT Y The default values for LAMBDA1 and LAMBDA2 are 0 and 10.
"A Class of Distributions Which Includes the Normal Ones", Azzalini, Scandinavian Journal of Statistics, 12, 171-178.
Y1LABEL Probability X1LABEL X LABEL CASE ASIS TITLE CASE ASIS CASE ASIS Y1LABEL DISPLACEMENT 12 X1LABEL DISPLACEMENT 12 MULTIPLOT 2 2 MULTIPLOT CORNER COORDINATES 0 0 100 95 MULTIPLOT SCALE FACTOR 2 TITLE Lambda = 0 PLOT SDEPDF(X,0) FOR X = -5 0.1 5 TITLE Lambda = 1 PLOT SDEPDF(X,1) FOR X = -5 0.1 5 TITLE Lambda = 5 PLOT SDEPDF(X,5) FOR X = -5 0.1 5 TITLE Lambda = 10 PLOT SDEPDF(X,10) FOR X = -5 0.1 5 END OF MULTIPLOT MOVE 50 97 JUSTIFICATIONC CENTER TEXT Skew Double Exponential Distribution
Date created: 7/7/2004 |