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Topics in minimax shrinkage estimation by stavros zinonos a dissertation submitted to the school of graduate studies rutgers, the state university of new jersey in partial ful llment of the requirements for the degree of doctor of philosophy graduate program in statistics and biostatistics written under the direction of william e.
Consequently, one attempts to obtain good lower bounds on the minimax risk and the maximum risk of a given decision rule is then compared to these lower bounds.
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Minimax coding and anticipation a dissertation conferred to the mental faculty of the postgraduate school of Yale university in campaigning for the academic degree of doctor of philosophy by qun xic dissertation director: andrew r.
John von neumann's conception of the minimax theorem 41 tool for understanding processes down the divison of mathematical results that gave rise to new developments stylish mathematics and results that did non.
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This dissertation addresses the development of increased formulations for minimax and mixed- whole number programming models for certain industrial and logistical systems, on with the de- sign and effectuation of e cient algorithmic strategies.
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Minimax risk of a class of densities having more derivatives converges to zero faster tha.
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5 this issue is discussed in the 2nd part6 of the paper on the basis of AN analysis of any of borel's written document on game possibility, of von neumann's work, and of the disput.
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The minimax problem ofttimes arises in electric circuit design and lame theory, while resolution the l/sub 1/ problem is effectual in the iron analysis of data-based data.
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Lower bounds on the minimax risk ar the subject of this thesis.
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This thesis presents fresh algorithms for resolution the nonlinear minimax and l/sub 1/ optimization problems.
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