Change Detection in INARCH Time Series of Counts

被引:6
作者
Hudecova, Sarka [1 ]
Huskova, Marie [1 ]
Meintanis, Simos [2 ,3 ]
机构
[1] Charles Univ Prague, Dept Probabil & Math Stat, Sokolovska 83, Prague 18675 8, Czech Republic
[2] Univ Athens, Dept Econ, 1 Sophocleous Str & Aristidou Str, Athens 10559, Greece
[3] North West Univ, Unit Business Math & Informat, Potchefstroom, South Africa
来源
NONPARAMETRIC STATISTICS | 2016年 / 175卷
关键词
Sequential monitoring; Time series of counts; Empirical probability; generating function; POISSON-DISTRIBUTION; MODELS; FIT; GOODNESS; TESTS;
D O I
10.1007/978-3-319-41582-6_4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper we develop an online procedure for detecting changes in the parameters of integer ARCH models of order one. The test statistic utilizes the notion of the empirical probability generating function. The asymptotic behavior of the test under the null hypothesis is derived.
引用
收藏
页码:47 / 58
页数:12
相关论文
共 37 条
[1]  
[Anonymous], 1997, LIMIT THEOREMS CHANG
[2]  
[Anonymous], 2007, Weak Dependence: with Examples and Applications
[3]   Delay time in sequential detection of change [J].
Aue, A ;
Horváth, L .
STATISTICS & PROBABILITY LETTERS, 2004, 67 (03) :221-231
[4]   Change-point monitoring in linear models [J].
Aue, Alexander ;
Horvath, Lajos ;
Huskova, Marie ;
Kokoszka, Piotr .
ECONOMETRICS JOURNAL, 2006, 9 (03) :373-403
[5]   A GOODNESS OF FIT TEST FOR THE POISSON-DISTRIBUTION BASED ON THE EMPIRICAL GENERATING FUNCTION [J].
BARINGHAUS, L ;
HENZE, N .
STATISTICS & PROBABILITY LETTERS, 1992, 13 (04) :269-274
[6]   Observation-driven models for Poisson counts [J].
Davis, RA ;
Dunsmuir, WTM ;
Streett, SB .
BIOMETRIKA, 2003, 90 (04) :777-790
[7]   A new weak dependence condition and applications to moment inequalities [J].
Doukhan, P ;
Louhichi, S .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 84 (02) :313-342
[8]   A TEST OF FIT FOR LATTICE DISTRIBUTIONS [J].
EPPS, TW .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1995, 24 (06) :1455-1479
[9]   Integer-valued GARCH process [J].
Ferland, Rene ;
Latour, Alain ;
Oraichi, Driss .
JOURNAL OF TIME SERIES ANALYSIS, 2006, 27 (06) :923-942
[10]  
Fokianos K, 2012, HANDB STAT, V30, P315, DOI 10.1016/B978-0-444-53858-1.00012-0