This article extends the economic theory of index numbers to the aggregation of price risk over commodities in …

An index number is a scalar-valued function of price and perhaps quantity data that supports the assessment of the … state or trend of an economy. Many researchers over the past 250 years have proposed diverse mathematical forms for index … numbers, and discussed criteria for their validity. In this paper we propose an additional criterion for evaluating an index …

. The new performance indexes incorporating high moments and disaster risk are the Aumann-Serrano performance index and … Foster-Hart performance index proposed by Kadan and Liu. These performance indexes provide evaluations sensitive to the … literature, we show by the regression analysis of the index and summary statistics these indexes are in fact not excessively …