## Daniela Jaru\v {s}kov\'a

*Change-point estimator in gradually changing sequences *

Comment.Math.Univ.Carolinae 39,3 (1998) 551-561. **Abstract:**Recently Hu\v {s}kov\'a (1998) has studied the least squares estimator of a change-point in gradually changing sequence supposing that the sequence increases (or decreases) linearly after the change-point. The present paper shows that the limit behavior of the change-point estimator for more complicated gradual changes is similar. The limit variance of the estimator can be easily calculated from the covariance function of a limit process.

**Keywords:** gradual type of change, polynomial regression, estimator, limit distribution

**AMS Subject Classification:** 62G20, 62E20, 60F17

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