Detection of slightly expressed changes in random environment |
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Authors: | V Holdai A Korostelev |
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Institution: | 1.Dept. of Math. and Computer Sci.,SU,Salisbury,USA;2.Dept. of Math.,WSU,Detroit,USA |
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Abstract: | Consider a regular parametric family of distributions F(·, θ). The classical change point problem deals with observations corresponding to θ = 0 before a point of change, and θ = μ after that. We substitute the latter constant μ by a set of random variables θ
i,n
called a random environment assuming that Eθ
i,n
] = μ
n
→ 0. The random environment can be independent or obtained by random permutations of a given set. We define the rates of
convergence and give the conditions under which the classical parametric change point algorithms apply. |
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Keywords: | |
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