2014/03/14 by Lenka Slámová, Lev B. Klebanov, Slámová, Lenka +1
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Financial Risk and Volatility Modeling #Probability (math.PR) #Probability and Statistical Research #Statistics Theory (math.ST) #Stochastic processes and financial applications #math.PR #math.ST #stat.TH
paper · pdf · doi:10.48550/arxiv.1403.3671
arxiv created 2014/03/14 · openalex publication_date 2014/03/14 · arxiv updated 2014/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In some fields of applications of stable distributions, especially in economics, it appears, that data have distributions similar to stable in a large region, but do not have such heavy tails. Our aim in this note is to propose several methods of approximation of stable distributions by some discrete distributions, which may have different tail behavior. In a sense the introduced distributions form an alternative to tempered stable distributions that combine Gaussian and stable behavior.