# Constructing infinitely divisible characteristic functions

Archivum Mathematicum (1983)

- Volume: 019, Issue: 2, page 57-61
- ISSN: 0044-8753

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top## How to cite

topArtikis, Theodore. "Constructing infinitely divisible characteristic functions." Archivum Mathematicum 019.2 (1983): 57-61. <http://eudml.org/doc/18104>.

@article{Artikis1983,

author = {Artikis, Theodore},

journal = {Archivum Mathematicum},

keywords = {infinite divisibility; unimodality; Levy canonical representation; transformation of characteristic function},

language = {eng},

number = {2},

pages = {57-61},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Constructing infinitely divisible characteristic functions},

url = {http://eudml.org/doc/18104},

volume = {019},

year = {1983},

}

TY - JOUR

AU - Artikis, Theodore

TI - Constructing infinitely divisible characteristic functions

JO - Archivum Mathematicum

PY - 1983

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 019

IS - 2

SP - 57

EP - 61

LA - eng

KW - infinite divisibility; unimodality; Levy canonical representation; transformation of characteristic function

UR - http://eudml.org/doc/18104

ER -

## References

top- Artikis T., On the unimodality and self-decomposability of certain transformed distributions, Bull. Greek Math. Soc. 20 (1979), 3-9. (1979) Zbl0451.60022MR0642426
- Ibragimov I. A., On the composition of unimodal distributions, Theor. Probability Appl. 1 (1956) 255-260. (1956) Zbl0073.12501MR0087249
- Lukacs E., Characteristic functions, Griffin, London 1970. (1970) Zbl0201.20404MR0346874
- Medgyessy P., On a new class of infinitely divisible distribution functions and related topics, Studia Scient. Math. Hung. 2 (1967) 441-446. (1967) MR0222929
- O'Connoг T., Infinitely divisible distributions with unimodal Levy spectral functions, Ann. Probability 7 (1979), 494-499. (1979) MR0528326
- Sakovic G. N., The characteristic functions of concave distributions, Theoг. Verojatnost. i. Mat Statist. Vyp. 6 (1972). 103-108. (1972) MR0309168

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