| Title:
|
Some limit theorems of intermediate term of a random number of independent random variables (English) |
| Author:
|
Barakat, Haroon Mohamed |
| Author:
|
El-Shandidy, Mouhamed A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
323-336 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60F05 |
| MSC:
|
60F99 |
| idZBL:
|
Zbl 0721.60028 |
| idMR:
|
MR1077903 |
| . |
| Date available:
|
2008-06-05T21:44:02Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106862 |
| . |
| Reference:
|
[1] Chibisov D. M.: On limit distribution for order statistics.Theory. prob. Appl. 9 (1964), 142-148. |
| Reference:
|
[2] Wu Chuan- Yi: The types of limit distributions for some terms of a variational series.Sci. Sinica. 15 (1966), 749-762. MR 0211449 |
| Reference:
|
[3] Smirnov M. V.: Some remarks on limit laws for order statistics.Theory, prob. Appl. 12 (1967), 336-337. |
| Reference:
|
[4] Berman S. M.: Limit theorems for the maximum term in stationary sequences.Ann. Math. Statist. 35 (1964), 502-516. Zbl 0122.13503, MR 0161365 |
| Reference:
|
[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. Zbl 0135.19206, MR 0170360 |
| Reference:
|
[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. MR 0694048 |
| Reference:
|
[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. |
| Reference:
|
[8] Gnedenko B. V., Sherif A. A.: Limit theorems for extreme terms of a variational series.Dokl. Akad. Nauk. 3 (1983), 523-525. Zbl 0531.60020, MR 0711844 |
| Reference:
|
[9] Gnedenko B. V., Stamatovich S., Shokry A.: On the distribution of the median.Vestnik MGU, Ser. Math-Mechan 2 (1984), 59-63. MR 0741166 |
| Reference:
|
[10] Gnedenko B. V.: Sur la distribution limits du terme maximum d'une série altéatoire.Ann. Math. 44 (1943), 423-453. MR 0008655 |
| Reference:
|
[11] Smirnov N. V.: Limit distributions for terms of a variational series.Amer. Math. Soc. Transl. Ser 1. 11 (1952), 82-143. MR 0047277 |
| Reference:
|
[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. |
| Reference:
|
[13] Feller W.: An introduction to probability theory and its applications.Vol. 2, 1966, John Wiley & Sons Inc. (Wiley Eastern university Edition (1979)). Zbl 0138.10207, MR 0210154 |
| Reference:
|
[14] Galambos J.: The asymptotic theory of extreme order statistics.1978, New York, Wiley. Zbl 0634.62044, MR 0489334 |
| . |
