ON CONVERGENCE RATE IN THE WEAK LAW OF LARGE NUMBERS FOR FGM RANDOM SEQUENCES

被引：0

作者：

Amini, Mohammad ^{[1
]}

Hadianfar, Omolbanin ^{[2
]}

Naderi, Habib ^{[3
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Stat, Ordered & Spatial Data Ctr Excellence, Mashhad, Iran

[2] Ferdowsi Univ Mashhad, Dept Stat, Fac Math Sci, Mashhad, Iran

[3] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 06期

关键词：

Convergence rate; weak law of large numbers; FGM random sequences; Kolmogorov-Feller weak law of large numbers; KOLMOGOROV; EXTENSION;

D O I：

10.4134/BKMS.b230709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the weak law of large numbers for FGM random sequences by extending the classic Kolmogorov-Feller weak law of large numbers. In addition, we make a simulation study for the asymptotic behavior in the sense of convergence in probability for FGM random sequences.

引用

页码：1617 / 1629

页数：13

共 24 条

[1]

[Anonymous], 1993, IMS Lecture Notes Monograph Series, V22

[2]

Armstrong A., Cerna Working Paper

[3]

Bingham N.H., 1989, REGULAR VARIATION, V27

[4] On Convergence Rates in the Marcinkiewicz-Zygmund Strong Law of Large Numbers [J].

Boukhari, Fakhreddine .

RESULTS IN MATHEMATICS, 2021, 76 (04)

[5] Weak laws of large numbers for maximal weighted sums of random variables [J].

Boukhari, Fakhreddine .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (01) :105-115

[6] On an Extension of the Weak Law of Large Numbers of Kolmogorov and Feller [J].

Chandra, Tapas Kumar .

STOCHASTIC ANALYSIS AND APPLICATIONS, 2014, 32 (03) :421-426

[7]

EBRAHIMI N, 1981, COMMUN STAT A-THEOR, V10, P307

[8] A note on the weighted strong law of large numbers under general conditions [J].

Fazekas, Istvan ;

Matula, Przemyslaw ;

Ziemba, Maciej .

PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 90 (3-4) :373-386

[9]

Gut A, 2013, SPRINGER TEXTS STAT, P1, DOI 10.1007/978-1-4614-4708-5

[10] An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game [J].

Gut, A .

JOURNAL OF THEORETICAL PROBABILITY, 2004, 17 (03) :769-779

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