Elliptic rational functions - Revision history

en>Yobot: WP:CHECKWIKI error fixes using AWB (10093)

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WP:CHECKWIKI error fixes using AWB (10093)

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	~~{{For\|other uses~~ of ~~Malmquist\|Malmquist (disambiguation)}}~~		The title of the writer is Figures but it's not the most masucline name out there. California is where her house is but she requirements to transfer simply because of her family. She is a librarian but she's usually needed her own business. The favorite pastime for my kids and me is to play baseball and I'm attempting to make it a occupation.<br><br>Here is my web blog :: [http://www.animecontent.com/blog/349119 at home std test]
	~~The '''Malmquist Index''' (MI) is a bilateral index 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 production, with respect to a set of inputs pertaining to capital~~ and ~~labour. So, if <math>S_a</math>~~ is ~~the set of labour and capital inputs~~ to ~~the production function of Economy A,~~ and ~~<math>Q</math> is the production function of Economy A, we could write <math>Q=f_a(S_a)</math>.~~

	~~While the production function would normally apply~~ to ~~an enterprise,~~ it ~~is possible to calculate it for an entire region or nation~~. ~~This would be called the aggregate production function.~~

	To calculate the Malmquist Index of economy A with respect to economy B, we must substitute the labour and capital inputs of economy A into the production function of B, and vice versa. The formula for MI is given below.

	~~:<math>MI=\sqrt{(Q_1 Q_2)/(Q_3 Q_4)} </math>~~

	~~where~~

	:<~~math~~>~~Q_1=f_a(S_a)~~<~~/math~~>
	~~:<math>Q_2=f_a(S_b)</math>~~
	:~~<math>Q_3=f_b(S_a)</math>~~
	:~~<math>Q_4=f_b(S_b)</math>~~

	Note that the MI of A with respect to B is the reciprocal of the MI of B with respect to A. If the MI of A with respect to B is greater than 1, the aggregate production technology of economy A is superior to that of economy B.

	The Malmquist Index was introduced in the 1982 paper, "Multilateral Comparisons of Output, Input and Productivity Using Superlative Index Numbers", by Douglas W. Caves, Laurits R. Christensen and W. Erwin Diewert.

	~~== References and links ==~~

	[http://~~economics~~.~~about~~.com/~~library/glossary~~/~~bldef-malmquist-index.htm Definition on About.com]~~

	~~Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982.~~
	~~"Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.~~

	~~[[Category:Economies]~~]


	~~{{economics-stub}}~~

en>Addbot: Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q2132775

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Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q2132775

← Older revision		Revision as of 01:00, 16 March 2013
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	~~Claude~~ is ~~her name and she completely digs~~ that ~~name~~. ~~Interviewing~~ is ~~what she does~~. ~~One~~ of the ~~things I adore most~~ is ~~climbing~~ and ~~now I have time~~ to ~~consider on new things~~. ~~Some time in~~ the ~~past I selected~~ to ~~live in Arizona but I require~~ to ~~transfer~~ for ~~my family~~.<br><br>~~my web site~~ :: [http://~~Pcresourcesllc~~.com/~~UserProfile~~/~~tabid~~/~~61/userId/94025/Default~~.~~aspx extended auto warranty~~]		{{For\|other uses of Malmquist\|Malmquist (disambiguation)}}
			The '''Malmquist Index''' (MI) is a bilateral index 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 production, with respect to a set of inputs pertaining to capital and labour. So, if <math>S_a</math> is the set of labour and capital inputs to the production function of Economy A, and <math>Q</math> is the production function of Economy A, we could write <math>Q=f_a(S_a)</math>.

			While the production function would normally apply to an enterprise, it is possible to calculate it for an entire region or nation. This would be called the aggregate production function.

			To calculate the Malmquist Index of economy A with respect to economy B, we must substitute the labour and capital inputs of economy A into the production function of B, and vice versa. The formula for MI is given below.

			:<math>MI=\sqrt{(Q_1 Q_2)/(Q_3 Q_4)} </math>

			where

			:<math>Q_1=f_a(S_a)</math>
			:<math>Q_2=f_a(S_b)</math>
			:<math>Q_3=f_b(S_a)</math>
			:<math>Q_4=f_b(S_b)</math>

			Note that the MI of A with respect to B is the reciprocal of the MI of B with respect to A. If the MI of A with respect to B is greater than 1, the aggregate production technology of economy A is superior to that of economy B.

			The Malmquist Index was introduced in the 1982 paper, "Multilateral Comparisons of Output, Input and Productivity Using Superlative Index Numbers", by Douglas W. Caves, Laurits R. Christensen and W. Erwin Diewert.

			== References and links ==

			[http://economics.about.com/library/glossary/bldef-malmquist-index.htm Definition on About.com]

			Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982.
			"Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.

			[[Category:Economies]]


			{{economics-stub}}

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2012-08-05T20:39:16Z

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Claude is her name and she completely digs that name. Interviewing is what she does. One of the things I adore most is climbing and now I have time to consider on new things. Some time in the past I selected to live in Arizona but I require to transfer for my family.<br><br>my web site :: [http://Pcresourcesllc.com/UserProfile/tabid/61/userId/94025/Default.aspx extended auto warranty]