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SymTS (version 1.0-2)

dPowTS: PDF of PowTS Distribution

Description

Evaluates the pdf for the symmetric power tempered stable distribution.

Usage

dPowTS(x, alpha, c = 1, ell = 1, mu = 0)

Arguments

x

Vector of points

alpha

Number in [0,2)

c

Parameter c >0

ell

Parameter ell>0

mu

Location parameter, any real number

Author

Michael Grabchak and Lijuan Cao

Details

The integration is preformed using the QAWF method in the GSL library for C. For this distribution the Rosinski measure R(dx) = c*(alpha+ell+1)*(alpha+ell)*(1+|x|)^(-2-alpha-ell)(dx).

References

M. Grabchak (2016). Tempered Stable Distributions: Stochastic Models for Multiscale Processes. Springer, Cham.

Examples

Run this code
x = (-10:10)/10
dPowTS(x,.5)

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