Central limit theorem associated with bilinear random fields

被引：4

作者：

Kharfouchi, Soumia ^{[1
]}

Kimouche, Karima ^{[1
]}

机构：

[1] Univ Mentouri, Dept Math, Constantine, Algeria

来源：

RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2011年 / 19卷 / 02期

关键词：

Spatial bilinear processes; stationarity; asymptotic normality;

D O I：

10.1515/ROSE.2011.009

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In the present paper, we establish the central limit theorem for the spatial bilinear process (SBL) noted SBLd (p, q, P, Q) under stationary conditions.

引用

页码：157 / 163

页数：7

共 50 条

[21] Functional central limit theorem for the volume of excursion sets generated by associated random fields
Meschenmoser, D.
Shashkin, A.
STATISTICS & PROBABILITY LETTERS, 2011, 81 (06) : 642 - 646
[22] A CENTRAL LIMIT THEOREM FOR MULTIVARIATE STRONGLY MIXING RANDOM FIELDS
Tone, Cristina
PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2010, 30 (02): : 215 - 222
[23] Central limit theorem for Fourier transform and periodogram of random fields
Peligrad, Magda
Zhang, Na
BERNOULLI, 2019, 25 (01) : 499 - 520
[24] Central limit theorem for baxter sums of gaussian random fields
Kurchenko A.A.
Journal of Mathematical Sciences, 2001, 105 (6) : 2584 - 2589
[25] A CENTRAL LIMIT THEOREM FOR LATTICE GAUGE GIBBS RANDOM FIELDS
陈冬青
Acta Mathematicae Applicatae Sinica, 1994, (02) : 223 - 224
[26] A central limit theorem for conditionally centred random fields with an application to Markov fields
Comets, F
Janzura, M
JOURNAL OF APPLIED PROBABILITY, 1998, 35 (03) : 608 - 621
[27] Functional Central Limit Theorem for Excursion set Volumes of Quasi-Associated Random Fields
Demichev V.P.
Journal of Mathematical Sciences, 2015, 204 (1) : 69 - 77
[28] Random central limit theorem for associated random variables and the order of approximation
Rao, B. L. S. Prakasa
Sreehari, M.
STATISTICS & PROBABILITY LETTERS, 2016, 111 : 1 - 7
[29] CENTRAL LIMIT-THEOREM FOR RANDOM FIELDS WITH STRONG AND WEAK DEPENDENCE
BULINSKII, AV
DOKLADY AKADEMII NAUK SSSR, 1979, 248 (01): : 17 - 19
[30] A central limit theorem for mixing random fields and its statistical applications
Fazekas, I
Kukush, AG
LIMIT THEOREMS IN PROBABILITY AND STATISTICS, VOL II, 2002, : 59 - 75

← 1 2 3 4 5 →