Estimators in the location model with gradual changes

Marie Hušková

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 1, page 147-157
  • ISSN: 0010-2628

Abstract

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A number of papers has been published on the estimation problem in location models with abrupt changes (e.g., Cs" orgő and Horváth (1996)). In the present paper we focus on estimators in location models with gradual changes. Estimators of the parameters are proposed and studied. It appears that the limit behavior (both the rate of consistency and limit distribution) of the estimators of the change point in location models with abrupt changes and gradual changes differ substantially.

How to cite

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Hušková, Marie. "Estimators in the location model with gradual changes." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 147-157. <http://eudml.org/doc/248249>.

@article{Hušková1998,
abstract = {A number of papers has been published on the estimation problem in location models with abrupt changes (e.g., Cs" orgő and Horváth (1996)). In the present paper we focus on estimators in location models with gradual changes. Estimators of the parameters are proposed and studied. It appears that the limit behavior (both the rate of consistency and limit distribution) of the estimators of the change point in location models with abrupt changes and gradual changes differ substantially.},
author = {Hušková, Marie},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {gradual changes in location model; estimators; confidence regions; gradual changes in location models; confidence regions},
language = {eng},
number = {1},
pages = {147-157},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Estimators in the location model with gradual changes},
url = {http://eudml.org/doc/248249},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Hušková, Marie
TI - Estimators in the location model with gradual changes
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 147
EP - 157
AB - A number of papers has been published on the estimation problem in location models with abrupt changes (e.g., Cs" orgő and Horváth (1996)). In the present paper we focus on estimators in location models with gradual changes. Estimators of the parameters are proposed and studied. It appears that the limit behavior (both the rate of consistency and limit distribution) of the estimators of the change point in location models with abrupt changes and gradual changes differ substantially.
LA - eng
KW - gradual changes in location model; estimators; confidence regions; gradual changes in location models; confidence regions
UR - http://eudml.org/doc/248249
ER -

References

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  1. Antoch J., Hušková M., Veraverbeke N., Change-point estimators and bootstrap, J. Nonparam. Statist. 5 (1995), 123-144. (1995) MR1346891
  2. Chow Y.S., Teicher H., Probability Theory, Springer Verlag New York (1987). (1987) 
  3. Csörgö M., Horváth L., Limit theorems in change point analysis, Wiley New York (1997). (1997) MR2743035
  4. Feder P.I., On asymptotic distribution theory in segmented regression problems, Ann. Statist. 3 (1975), 49-83. (1975) Zbl0324.62014MR0378267
  5. Hinkley D., Inference in two-phase regression, J. Amer. Statist. Assoc. 66 (1971), 736-743. (1971) Zbl0226.62068
  6. Jarušková D., Testing appearance of linear trend, submitted, 1996. 
  7. Ratkowski D.A., Nonlinear Regression Models, Marcel Dekker New York (1983). (1983) 
  8. Seber G.A.F. and Wild C.J., Nonlinear Regression, Wiley New York (1988). (1988) MR0986070
  9. Siegmund D., Zhang H., Confidence region in broken line regression, Change-point problems IMS Lecture Notes - Monograph Series 23 (1994), 292-316. (1994) MR1477932

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