Exact relationships between fisher indexes and theoretical indexes
Grifell-Tatjé, Emili (Universitat Autònoma de Barcelona. Departament d'Economia de l'Empresa)
Lovell, C. A. Knox (University of Queensland)
University of Queensland. Centre for Efficiency and Productivity Analysis.

Publicació:	Australia: Centre for Efficiency and Productivity Analysis, School of Economics University of Queensland, 2015
Descripció:	25 p.
Resum:	In this paper we develop exact relationships between empirical Fisher indexes and their theoretical Malmquist and Konus counterparts. We begin by using implicit Malmquist price and price recovery indexes to establish exact relationships between Malmquist quantity and productivity indexes and Fisher quantity and productivity indexes. We then show that Malmquist quantity and productivity indexes and Fisher price and price recovery indexes "almost" satisfy the product test with the relevant value change, and we derive a quantity mix function that ensures satisfaction of the product test. We next use implicit Konus quantity and productivity indexes to establish exact relationships between Konus price and price recovery indexes and Fisher price and price recovery indexes. We then show that Konus price and price recovery indexes and Fisher quantity and productivity indexes "almost" satisfy the product test with the relevant value change, we derive a price mix function that ensures satisfaction of the product test, and we show that this price mix function differs fundamentally from the quantity mix function relating Malmquist and Fisher indexes.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Col·lecció:	Working papers series (University of Queensland. Centre for Efficiency and Productivity Analysis); 06/2015
Document:	Working paper
Matèria:	Nombres índexs (Economia) ; Implicit Malmquist indexes ; Implicit Konüs indexes ; Fisher indexes ; Quantity mix and price mix functions

Adreça alternativa: http://www.uq.edu.au/economics/cepa/docs/WP/WP062015.pdf

25 p, 386.2 KB

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