We reanalyse the water discharges from the creek Nacà etáà nskyà . We demonstrate that the likelihood method can be used to detect possible changes in the parameters of the distributions of the observations.
Sequential change-point detection with likelihood ratios
β Scribed by Edit Gombay
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 119 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
We consider the problem of sequential change-point detection when the family of distributions is exponential, and distinguish between parameters of interest, and nuisance parameters. Likelihood ratios are used as test statistics, and their large sample approximations under the alternative hypothesis of change are given. Our formulae allow type II error approximations and they suggest di erent schemes for change detection and change-point estimation.
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