Bromobutyl mannopyranosides have been successfully used as both protected and unprotected glycosyl donors both with and without the use of an external activator.Key words: glycosylation, unprotected glycosyl donors, oligosaccharides.

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Our objective is to present a methodology which minimizes the expected cost of predictive errors when: (a) predictions are obtained for the product of two separately attained but contemporaneous time series, and (b) a linear asymmetric error cost function reflects the costs associated with predictive errors. Integrated Autoregressive-Moving Average models characterize the two series. Each prediction is expressed as a quantile of the conditional distribution of the contemporaneous product of the two series (i.e., a quantile of the distribution of the product of two Gaussian random variables with nonzero means). An actually observed hospital food service demand problem exemplifies the procedure and utility of our methodology.

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