Robustness of the likelihood ratio test for detection and estimation of a mean change point in a sequence of elliptically contoured observations
Apostolos Batsidis
Abstract
Apostolos Batsidis
Abstract
The likelihood ratio test (LRT) for testing a mean change after an unknown point in a sequence of n uncorrelated p-dimensional elliptically contoured distributed observations is established. It is shown that the LRT has the same form as well as null distribution as in the multivariate normal case.
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The likelihood ratio test (LRT) for testing a mean change after an unknown point in a sequence of n uncorrelated p-dimensional elliptically contoured distributed observations is established. It is shown that the LRT has the same form as well as null distribution as in the multivariate normal case.
Key concepts: Mathematics, Likelihood-ratio test, Statistics, Score test, Multivariate statistics, Sequence (biology), Robustness (evolution), Null distribution