Large Deviations for the Boundary Crossing Probabilities of Some Random Fields
Received:December 28, 1987  
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Yao Qi-wai Department of Statistics
Wuhan University 
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Abstract:
      For Y1, Y2,…i .i .d . with Y1~N(μ, 1) and Sn=(?)Yi, the large deviations are obtained for theprobabilities that(?) conditionally given (i) Sm=0, and (ii) Smi=ξ. Applied these results to the double change points model with some nuisance parameters, we developed the large deviation for the significance level of the likelihood ratio test.
Citation:
DOI:10.3770/j.issn:1000-341X.1989.02.004
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