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All superlative indices produce similar results and are generally the favored formulas for calculating price indices. [14] A superlative index is defined technically as "an index that is exact for a flexible functional form that can provide a second-order approximation to other twice-differentiable functions around the same point." [15]
For example, a Törnqvist index summarizing labor input may weigh the growth rate of the hours of each group of workers by the share of labor compensation they receive. [7] The Törnqvist index is a superlative index, meaning it can approximate any smooth production or cost function. "Smooth" here means that small changes in relative prices for ...
Index numbers are used especially to compare business activity, the cost of living, and employment. They enable economists to reduce unwieldy business data into easily understood terms. In contrast to a cost-of-living index based on the true but unknown utility function, a superlative index number is an index number that can be calculated. [1]
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The Malmquist Index (MI) is a bilateral index [a] that can be used to compare the production technology of two economies. It is named after Professor Sten Malmquist, on whose ideas it is based. It is also called the Malmquist Productivity Index. The MI is based on the concept of the production function. This is a function of maximum possible ...
It most commonly refers to an index, called the Balassa index, introduced by Béla Balassa (1965). [1] In particular, the revealed comparative advantage of country c {\displaystyle c} in product/commodity/good p {\displaystyle p} is defined by:
United Kingdom-related lists of superlatives (5 C, 22 P) United States-related lists of superlatives (7 C, 42 P) V. Vietnam-related lists of superlatives (1 C)
The equation below (in Cobb–Douglas form) is often used to represent total output (Y) as a function of total-factor productivity (A), capital input (K), labour input (L), and the two inputs' respective shares of output (α and β are the share of contribution for K and L respectively).