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Non extensive Cross-Entropy approach to balancing a Polish National Matrix of Economy including Ecological Aspects

Second Bwanakare 

University of Information Technology and Management (WSIIZ), Sucharskiego, Rzeszów 35-225, Poland

Abstract
The present article applies the Tsallis cross entropy approach for estimating and balancing economic flows of an initially non balanced  National Matrix of Economy including Ecological Aspects(NAMEE). In fact, respective rows and columns of such a usually square matrix are never balanced, contrary to double entry bookkeeping principle on the bottom of which it is constructed. The main raison stands from different and contradictory sources of used statistical information for its building. This is particularly truth in the case of ecological accounts being presently characterised by relatively lower precision than usual accounts owing to the1993 international system of national accounts(SNA93). Because the number of unknowns is generally much higher than known parameters, such matrix is “ill-behaved” and traditional statistical methods can’t be applied unless risky hypotheses are added. A few approaches have been proposed to balance such class of  matrices. Among many others, Shannon Kullback Leibler based minimum entropy has been applied under non ergodicity hypothesis( eg. Golan, Miller,Judge, 1996) . This article extends the approach to the Tsallis non extensive cross entropy(NECE) principle. At the same time it proposes inferential statistics and comment on ergodic properties of the model through the q-value.

In terms of economics, preliminary out puts confined within the new balanced matrix seem to be conform to our economic intuition.

 

Auxiliary resources (full texts, presentations, posters, etc.)
  1. PRESENTATION: Non extensive Cross-Entropy approach to balancing a Polish National Matrix of Economy including Ecological Aspects, PDF document, version 1.4, 0.2MB
 

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Presentation: Oral at 5 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Second Bwanakare
See On-line Journal of 5 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2010-10-09 14:19
Revised:   2010-10-13 11:34