99-17
Positive Linnik and Discrete Linnik Distributions
by Christoph, G.; Schreiber, K.
Preprint series: 99-17, Preprints
The paper is published: Asymptotic Methods in Probability and Statistics with Applications, Balakrishnan (ed.) et al., Birkhäuser, Boston, 2000, pp. 3 - 18.
- MSC:
- 60E05 Distributions: general theory
- 60F05 Central limit and other weak theorems
- 60E07 Infinitely divisible distributions; stable distributions
Abstract: In the present paper (continuous) positive Linnik and (nonnegative integer valued) discrete Linnik random variables are discussed. Rates of convergence and first terms of both the Edgeworth expansions and the expansions in the exponent of the distribution functions of certain sums of such random variables with nonnegative strictly stable as well as discrete limit laws are considered.
Keywords: positive Linnik and discrete Linnik distributions, discrete self-decomposability, discrete stability, rates of convergence, Edgeworth expansions and expansions in the exponent with discrete stable limit law
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