Procedures for the Detection of Multiple Changes in Series of Independent Observations

The paper concerns the problem of detection and identification of one or more change points in a series of independent observations. Procedures based on M-estimatorsand M-residuals are introduced, their limit properties studied and typical simulation results presented.

[1]  B. S. Darkhovskii,et al.  A Nonparametric Method for Fastest Detection of a Change in the Mean of a Random Sequence , 1988 .

[2]  A Note on Non‐Parametric Tests for the Change‐Point Problem , 1987 .

[3]  P. Krishnaiah,et al.  19 Review about estimation of change points , 1988 .

[4]  Douglas A. Wolfe,et al.  Nonparametric statistical procedures for the changepoint problem , 1984 .

[5]  D. L. Hawkins.  A u-i approach to retrospective testing for shifting parameters in a linear model , 1989 .

[6]  Pranab Kumar Sen,et al.  Nonparametric Tests for Shift and Change in Regression at an Unknown Time Point , 1989 .

[7]  Jaromír Antoch,et al.  Change Point Problem , 1993 .

[8]  M. Hušková.  Recursive m–test for detection of change , 1988 .

[9]  Peter Hackl,et al.  Statistical analysis and forecasting of economic structural change , 1989 .

[10]  P. Révész,et al.  Weak Laws for the Increments of Wiener Processes, Brownian Bridges Empirical Processes and Partial Sums of I.I.D.R.V.’S , 1987 .

[11]  P. Erdös,et al.  A limit theorem for the maximum of normalized sums of independent random variables , 1956 .

[12]  F. Lombard.  Rank tests for changepoint problems , 1987 .

[13]  S. Zacks.  SURVEY OF CLASSICAL AND BAYESIAN APPROACHES TO THE CHANGE-POINT PROBLEM: FIXED SAMPLE AND SEQUENTIAL PROCEDURES OF TESTING AND ESTIMATION11Research supported in part by ONR Contracts N00014-75-0725 at The George Washington University and N00014-81-K-0407 at SUNY-Binghamton. , 1983 .

[14]  P. Feder.  Mathematical Statistics and Probability Theory , 1980 .

[15]  J. Hartigan,et al.  A Bayesian Analysis for Change Point Problems , 1993 .