A Method for Simulating Stable Random Variables
- 1 June 1976
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 71 (354) , 340
- https://doi.org/10.2307/2285309
Abstract
A new algorithm is presented for simulating stable random variables on a digital computer for arbitrary characteristic exponent α(0 < α ≤ 2) and skewness parameter β(-1 ≤ β ≤ 1). The algorithm involves a nonlinear transformation of two independent uniform random variables into one stable random variable. This stable random variable is a continuous function of each of the uniform random variables, and of α and a modified skewness parameter β' throughout their respective permissible ranges.Keywords
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