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The change in a Fisher index from one period to the next is the geometric mean of the changes in Laspeyres' and Paasche's indices between those periods, and these are chained together to make comparisons over many periods: = This is also called Fisher's "ideal" price index.
Hence, one may think of the Paasche index as one where the numeraire is the bundle of goods using current year prices and current year quantities. Similarly, the Laspeyres index can be thought of as a price index taking the bundle of goods using current prices and base period quantities as the numeraire.
Ernst Louis Étienne Laspeyres (German: [lasˈpaɪrəs]; 28 November 1834 – 4 August 1913) was a German economist. He was Professor ordinarius of economics and statistics or State Sciences and cameralistics (public finance and administration) in Basel , Riga , Dorpat (now Tartu), Karlsruhe , and finally for 26 years in Gießen .
The United States Consumer Price Index (CPI) is a price index that is based on the idea of a cost-of-living index. The U.S. Department of Labor's Bureau of Labor Statistics (BLS) explains the differences: The CPI frequently is called a cost-of-living index, but it differs in important ways from a complete cost-of-living measure.
Hermann Paasche (German pronunciation:; February 24, 1851 – April 11, 1925) was a German statistician and economist. He is known for his Paasche Index, which provides a calculation of the Price Index. Paasche studied economics, agriculture, statistics and philosophy at University of Halle.
Setting equal to +: + gives Paasche-type index and so on. The Fisher-type index is defined as a square root of product of Laspeyres- and Paasche-type indexes. The Edgeworth-Marshall index uses the arithmetic mean of mean characteristics of two periods t and t+1. A Walsh-type index uses the geometric average of two periods.
The Food and Agriculture Organization (FAO) Food Price Index 1961–2024 in nominal and real terms. Years 2014–2016 is 100. The FAO Food Price Index (FFPI) is a food price index by the Food and Agriculture Organization (FAO) of the United Nations. It records the development of world market prices of 24 agricultural commodities and foodstuffs ...
The Ten-Day Price Index is a procedure under which, “sample prices” with high intra-month fluctuations are selected and surveyed every ten days by phone. Utilizing the data retrieved by this procedure, and with the assumption that other non-surveyed “sample prices” remain unchanged, a “ten-day price index” is compiled and released.