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Shrinkage Estimation of Price and Promotional Elasticities: Seemingly Unrelated Equations
Robert C. Blattberg and Edward I. George
Journal of the American Statistical Association
Vol. 86, No. 414 (Jun., 1991), pp. 304-315
Stable URL: http://www.jstor.org/stable/2290562
Page Count: 12
You can always find the topics here!Topics: Estimators, Statistical estimation, Bayes estimators, Brands, Prices, Chain stores, Statistical models, Statistics, Price elasticity, Modeling
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Consider the problem where a retailer or manufacturer wants to estimate product price and promotional elasticities based on supermarket scanner data. Classical linear modeling suffers from the following aggregation dilemma. Price and promotional elasticities appear to vary considerably among chains and brands so that one overall model is too restrictive. Alternatively, the use of a different model for each chain and brand leads to noisy and often nonsensical estimates of separate elasticities because of excessive data variation. To resolve this dilemma, shrinkage estimation procedures are proposed. By borrowing strength across chains and brands, these procedures reduce variability while providing flexibility that allows for separate elasticity estimates. Application of these procedures to a large data set yields not only more reasonable model estimates but also improved predictive power.
Journal of the American Statistical Association © 1991 American Statistical Association