Some limit theorems of intermediate term of a random number of independent random variables

Haroon Mohamed Barakat; Mouhamed A. El-Shandidy

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 2, page 323-336
  • ISSN: 0010-2628

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Barakat, Haroon Mohamed, and El-Shandidy, Mouhamed A.. "Some limit theorems of intermediate term of a random number of independent random variables." Commentationes Mathematicae Universitatis Carolinae 031.2 (1990): 323-336. <http://eudml.org/doc/17850>.

@article{Barakat1990,
author = {Barakat, Haroon Mohamed, El-Shandidy, Mouhamed A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {intermediate terms; order statistics; nondegenerate limit law},
language = {eng},
number = {2},
pages = {323-336},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some limit theorems of intermediate term of a random number of independent random variables},
url = {http://eudml.org/doc/17850},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Barakat, Haroon Mohamed
AU - El-Shandidy, Mouhamed A.
TI - Some limit theorems of intermediate term of a random number of independent random variables
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 2
SP - 323
EP - 336
LA - eng
KW - intermediate terms; order statistics; nondegenerate limit law
UR - http://eudml.org/doc/17850
ER -

References

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  1. Chibisov D. M., On limit distribution for order statistics, Theory. prob. Appl. 9 (1964), 142-148. (1964) 
  2. Wu Chuan- Yi, The types of limit distributions for some terms of a variational series, Sci. Sinica. 15 (1966), 749-762. (1966) MR0211449
  3. Smirnov M. V., Some remarks on limit laws for order statistics, Theory, prob. Appl. 12 (1967), 336-337. (1967) 
  4. Berman S. M., Limit theorems for the maximum term in stationary sequences, Ann. Math. Statist. 35 (1964), 502-516. (1964) Zbl0122.13503MR0161365
  5. Barndorff-Nielsen O., On the limit distribution of the maximum of a random number of independent random variables, Acta. Math. Acad. Sci. Hungar. 15 (1964), 399-403. (1964) Zbl0135.19206MR0170360
  6. Gnedenko B. V., Gnedenko D. B., On Laplace and Logestic distributions as limits in the theory of probability, (in Russian), Serdica, Bolgarska Math. 8 (1982), 229-234. (1982) MR0694048
  7. Gnedenko B. V., Senocy Bereksy L., On one characteristic of the limit distribution for the maximum and minimum of a variational series, Dokl. Akad. Nauk. 5 (1982), 1039-1040. (1982) 
  8. Gnedenko B. V., Sherif A. A., Limit theorems for extreme terms of a variational series, Dokl. Akad. Nauk. 3 (1983), 523-525. (1983) Zbl0531.60020MR0711844
  9. Gnedenko B. V., Stamatovich S., Shokry A., On the distribution of the median, Vestnik MGU, Ser. Math-Mechan 2 (1984), 59-63. (1984) MR0741166
  10. Gnedenko B. V., Sur la distribution limits du terme maximum d'une série altéatoire, Ann. Math. 44 (1943), 423-453. (1943) MR0008655
  11. Smirnov N. V., Limit distributions for terms of a variational series, Amer. Math. Soc. Transl. Ser 1. 11 (1952), 82-143. (1952) MR0047277
  12. Barakat H. M., On the limit behaviour of intermediate terms of random number of independent random variables, The Egyptian Statistical J. 31 (1987), 42-53. (1987) 
  13. Feller W., An introduction to probability theory and its applications, Vol. 2, 1966, John Wiley & Sons Inc. (Wiley Eastern university Edition (1979)). (1966) Zbl0138.10207MR0210154
  14. Galambos J., The asymptotic theory of extreme order statistics, 1978, New York, Wiley. Zbl0634.62044MR0489334

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