NONPARAMETRIC-ESTIMATION IN CHANGE-POINT MODELS

被引:6
作者
HUANG, WT
CHANG, YP
机构
[1] ACAD SINICA,INST STAT SCI,TAIPEI 115,TAIWAN
[2] NATL CENT UNIV,GRAD INST STAT,CHUNGLI,TAIWAN
关键词
CHANGE-POINT; SMOOTH MIXTURE INTERVENTION; LEAST-SQUARES TYPE METHODS; CONSISTENCY; CONVERGENCE RATE; ASYMPTOTIC DISTRIBUTION;
D O I
10.1016/0378-3758(93)90021-W
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 consider a new change-point model with some smooth mixture intervention. Some least-squares type estimators for the parameters are proposed and some large sample properties for these estimators are shown. A Monte Carlo study shows that the proposed estimators behave satisfactorily for the normal case.
引用
收藏
页码:335 / 347
页数:13
相关论文
共 10 条
[1]   DISTRIBUTION FUNCTION INEQUALITIES FOR MARTINGALES [J].
BURKHOLDER, DL .
ANNALS OF PROBABILITY, 1973, 1 (01) :19-42
[2]   ESTIMATING CURRENT MEAN OF NORMAL-DISTRIBUTION WHICH IS SUBJECTED TO CHANGES IN TIME [J].
CHERNOFF, H ;
ZACKS, S .
ANNALS OF MATHEMATICAL STATISTICS, 1964, 35 (03) :999-&
[3]  
Chow Y S., 1988, PROBABILITY THEORY I, P338, DOI [10.1007/978-1-4684-0504-0, DOI 10.1007/978-1-4684-0504-0]
[4]  
HAWKINS DL, 1986, COMMUN STAT SIMULAT, V15, P655
[5]  
HINKLEY DV, 1970, BIOMETRIKA, V57, P1
[6]   RANK-TESTS FOR CHANGEPOINT PROBLEMS [J].
LOMBARD, F .
BIOMETRIKA, 1987, 74 (03) :615-624
[7]   A TEST FOR A CHANGE IN A PARAMETER OCCURRING AT AN UNKNOWN POINT [J].
PAGE, ES .
BIOMETRIKA, 1955, 42 (3-4) :523-527
[8]   TESTS FOR DETECTING CHANGE IN MEAN [J].
SEN, A ;
SRIVASTAVA, MS .
ANNALS OF STATISTICS, 1975, 3 (01) :98-108
[9]  
WORSLEY KJ, 1986, BIOMETRIKA, V73, P91
[10]  
YAO YC, 1989, SANKHYA SER A, V51, P370