Evaluates the constant K_1, which is the normalizing constant for f_1.
Usage
getk1(alpha, p)
Value
Returns a positive real number.
Arguments
alpha
Parameter >=0.
p
Parameter >1.
Author
Michael Grabchak and Lijuan Cao
Details
Evaluates
K_1 = int_1^infty exp(-x^p)*x^(-1-alpha) dx.
This is needed to simulate p-RDTS random variables.
References
M. Grabchak (2021). An exact method for simulating rapidly decreasing tempered stable distributions. Statistics and Probability Letters, 170: Article 109015.