CHANGE IN AUTOREGRESSIVE PROCESSES

被引:25
|
作者
HORVATH, L
机构
[1] Department of Mathematics, University of Utah, Salt Lake City
关键词
AUTOREGRESSIVE PROCESS; CHANGE-POINT; STRONG APPROXIMATION; WEIGHTED SUPREMA; WEIGHTED LP-FUNCTIONALS;
D O I
10.1016/0304-4149(93)90026-Z
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
We study the detection of a possible change in a stationary autoregressive process of order r. The test statistics are based on weighted supremum and L(p)-functionals of the residual sums. Some limit theorems are proven under necessary and sufficient conditions.
引用
收藏
页码:221 / 242
页数:22
相关论文
共 50 条
  • [1] Change point test of tail index for autoregressive processes
    Kim, Moosup
    Lee, Sangyeol
    [J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2012, 41 (03) : 305 - 312
  • [2] Change point test of tail index for autoregressive processes
    Moosup Kim
    Sangyeol Lee
    [J]. Journal of the Korean Statistical Society, 2012, 41 : 305 - 312
  • [3] Testing the epidemic change in nearly nonstationary autoregressive processes
    Markeviciute, Jurgita
    Rackauskas, Alfredas
    Suquet, Charles
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2014, 19 (01): : 67 - 82
  • [4] Monitoring Variance Change in Infinite Order Moving Average Processes and Nonstationary Autoregressive Processes
    Chen, Zhanshou
    Tian, Zheng
    Qin, Ruibing
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (07) : 1254 - 1270
  • [5] On change point detection in regression function using nonparametric autoregressive processes
    Kouassi, Ben Celestin
    Hili, Ouagnina
    Katchekpele, Edoh
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
  • [6] AUTOREGRESSIVE PROCESSES IN OPTIMIZATION
    CIPRA, T
    [J]. JOURNAL OF APPLIED PROBABILITY, 1988, 25 (02) : 302 - 312
  • [7] A class of autoregressive processes
    Krishnarani, S. D.
    Jayakumar, K.
    [J]. STATISTICS & PROBABILITY LETTERS, 2008, 78 (12) : 1355 - 1361
  • [8] AUTOREGRESSIVE LOGISTIC PROCESSES
    ARNOLD, BC
    ROBERTSON, CA
    [J]. JOURNAL OF APPLIED PROBABILITY, 1989, 26 (03) : 524 - 531
  • [9] GENERAL AUTOREGRESSIVE PROCESSES
    DOUKHAN, P
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1984, 16 (01) : 20 - 20
  • [10] ON THRESHOLD AUTOREGRESSIVE PROCESSES
    ANDEL, J
    NETUKA, I
    ZVARA, K
    [J]. KYBERNETIKA, 1984, 20 (02) : 89 - 106