The connection between the proximate order of an entire characteristic function and the corresponding distribution function

Monika Dewess; Marko Riedel

Czechoslovak Mathematical Journal (1977)

  • Volume: 27, Issue: 2, page 173-185
  • ISSN: 0011-4642

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Dewess, Monika, and Riedel, Marko. "The connection between the proximate order of an entire characteristic function and the corresponding distribution function." Czechoslovak Mathematical Journal 27.2 (1977): 173-185. <http://eudml.org/doc/12994>.

@article{Dewess1977,
author = {Dewess, Monika, Riedel, Marko},
journal = {Czechoslovak Mathematical Journal},
keywords = {Distribution Function; Entire Characteristic Function},
language = {eng},
number = {2},
pages = {173-185},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The connection between the proximate order of an entire characteristic function and the corresponding distribution function},
url = {http://eudml.org/doc/12994},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Dewess, Monika
AU - Riedel, Marko
TI - The connection between the proximate order of an entire characteristic function and the corresponding distribution function
JO - Czechoslovak Mathematical Journal
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 2
SP - 173
EP - 185
LA - eng
KW - Distribution Function; Entire Characteristic Function
UR - http://eudml.org/doc/12994
ER -

References

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  1. M. Dewess, The tail behaviour of a distribution function and its connection to the growth of its entire characteristic function, to appear in Math. Nachr. MR0471019
  2. В. J. Lewin, Nullstellenverteilung ganzer Funktionen, Berlin 1962. (1962) 
  3. E. Lukacs, Characteristic functions, (1970) Zbl0201.20404MR0346874
  4. В. Ramachandran, 10.1214/aoms/1177704356, Ann. math. Stat. 33, 1238-1255 (1962). (1962) MR0141145DOI10.1214/aoms/1177704356
  5. H.-J. Rossberg, Der Zusammenhang zwischen einer ganzen charakteristischen Funktion einer verfeinerten Ordnung und ihrer Verteilungsfuntion, Czech. Math. J. 17 (92) (1967), 317-346. (1967) MR0219112
  6. G. Valiron, Fonction entières d'ordre fini et fonctions meromorphes, Monographies de L'Enseignement mathématique No. 8, Genf 1960. (1960) MR0109886

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