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+"'. This the Cauchy-Schwarz first nj,r _g}o(g showing term nj,l that -f) the is bounded by inequality. Recall the BOYLE. 2). on the where right sequences IIg terms side. r all are uniformly {gnr- g * }. sequence {gnr -g}.

The same The function as the points are used. p 0, p(t,B) is symmetric about need not be known: least-squares estimator the unless (Y 1+Y 2 )/2 M-estimator will be three or more data ISOTONIC M-ESTIMATION 3. CLASSIFICATION function. increasing Wright (1974) totally space. design points which set is U any set U a of closed lower set the form The symbol design points x sets. of and In a consecutive and an upper which includes The formula for the lower sets the isotonic is min xEU While this formula is explicit.

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