An application of the maximum likelihood test to the change-point problem
A maximum-likelihood-type statistic is derived for testing a sequence of observations for no change in the parameter against a possible change. We prove that the limit distribution of the suitably normalized and centralized statistic is double exponential under the null hypothesis.
Year of publication: |
1994
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Authors: | Gombay, Edit ; Horváth, Lajos |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 50.1994, 1, p. 161-171
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Publisher: |
Elsevier |
Keywords: | maximum likelihood parameter estimation standardized partial sums limit theorem double exponential distribution |
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