방법 비교

	Laspeyres and Paasche Index	Törnqvist Index
분야	경제학	경제학
계열	Process / pipeline	Process / pipeline
기원 연도	1871	1936
창시자	Étienne Laspeyres (1871); Hermann Paasche (1874)	Leo Törnqvist; superlative theory by W. Erwin Diewert
유형	Bilateral price and quantity index numbers	Superlative index number for aggregating prices or quantities
원전	Diewert, W. E. (1976). Exact and superlative index numbers. Journal of Econometrics, 4(2), 115–145.	Diewert, W. E. (1976). Exact and superlative index numbers. Journal of Econometrics, 4(2), 115–145.
별칭	Laspeyres Index, Paasche Index, Base-Weighted Index, Current-Weighted Index	Tornqvist Index, Tornqvist-Theil Index, Translog Index, Tornqvist Price Index
관련	3	3
요약	The Laspeyres and Paasche indices are the two foundational bilateral index numbers used to measure how a basket of prices (or quantities) changes between a base period and a current period. The Laspeyres index weights price changes by base-period quantities — it asks what the original basket costs now relative to then — while the Paasche index weights by current-period quantities, asking what the current basket costs now relative to then. They differ because consumers substitute away from goods whose relative prices rise, and this difference defines the well-known substitution bias: the Laspeyres index tends to overstate, and the Paasche index to understate, the true cost-of-living change, bracketing it between them.	The Törnqvist index is a superlative index number used to aggregate many individual prices or quantities into a single measure of overall price change or quantity change between two periods. It is a weighted geometric mean of the individual price (or quantity) relatives, where each item's weight is the average of its value shares in the two periods. Because it is 'exact' for the flexible translog aggregator function, it is the standard tool for constructing productivity indices and is widely used in national accounts, productivity statistics, and price measurement.