Estimation under Profit-Driven Loss Functions, Journal of Business and Economic Statistics
Consider the problem of estimating a price-sensitivity parameter in a demand model. Depending on the context in which the estimate will be used, traditional squared-error loss may be inappropriate. The authors consider the situation in which the estimate will be used by a manufacturer to set the price. Effectively, the manufacturer's goal of profit maximization induces a loss function that turns out to be asymmetric. Estimates that perform well with respect to such loss functions are obtained. A real example is considered in which, compared to traditional estimation under squared-error loss, this approach leads to smaller price-sensitivity estimates, suggesting higher optimal prices.
Blattberg, Robert. 1993. Estimation under Profit-Driven Loss Functions. Journal of Business and Economic Statistics. 10(4): 437-44.