Harin, Alexander (2010): Theorem of existence of ruptures in probability scale. Preliminary short version.

PDF
MPRA_paper_23319.pdf Download (87kB)  Preview 
Abstract
The theorems of existence of the ruptures have been proved. The ruptures can exist near the borders of finite intervals and of the probability scale. The theorems can be used, e.g., in economics and forecasting.
Item Type:  MPRA Paper 

Original Title:  Theorem of existence of ruptures in probability scale. Preliminary short version. 
Language:  English 
Keywords:  probability; economics; forecasting; planning; modeling; modelling; simulation; utility; decisions; uncertainty; 
Subjects:  G  Financial Economics > G1  General Financial Markets > G11  Portfolio Choice ; Investment Decisions D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D81  Criteria for DecisionMaking under Risk and Uncertainty O  Economic Development, Innovation, Technological Change, and Growth > O2  Development Planning and Policy H  Public Economics > H3  Fiscal Policies and Behavior of Economic Agents C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General E  Macroeconomics and Monetary Economics > E4  Money and Interest Rates > E47  Forecasting and Simulation: Models and Applications 
Item ID:  23319 
Depositing User:  Alexander Harin 
Date Deposited:  16. Jun 2010 00:10 
Last Modified:  14. Feb 2013 08:47 
References:  Abramowitz, M. and Stegun, I. eds. (1972) "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables", New York: Dover Publications, 1972. Harin, A. (20104) "Theorem of existence of ruptures in the probability scale. II." (in Russian) Munich Personal RePEc Archive, 22633, 2010. Harin, А. (20103) "The theorem of existence of ruptures in the probability scale, as the mathematical basis of the principle of uncertain future" (in Russian) Tenth International Scientific School "Modelling and Analysis of Safety and Risk in complex systems" – 2010). Harin, А. (20102) "The ruptures in the probability scale and some problems of modelling" (in Russian) Third international conference "Mathematical Modelling of Social and Economical Dynamics" MMSED2010. Harin, А. (20101) "Theorem of existence of ruptures in the probability scale" (in Russian) Financial and Actuarial Mathematics and Eventoconverging Technologies FAMET'2010. Harin, А. (2009) "Taking into account the border effects of noises – is it a new way to solve the problems of the utility theory?" (in Russian) First Russian economic congress (REC2009). Harin, А. (2008) "To the development of the general formula of forecasting" (in Russian) 51th Scientific conference of MIPT – 2008 "Modern problems of fundamental and applied sciences". Harin, А. (2007) "Principle of uncertain future, examples of its application in economics, potentials of its applications in theories of complex systems, in set theory, probability theory and logic" (in Russian) Seventh International Scientific School "Modelling and Analysis of Safety and Risk in complex systems" 2007. Kahneman, D. and Thaler, R. (2006) "Anomalies: Utility Maximization and Experienced Utility" Journal of Economic Perspectives, 20, #1, 221234. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/23319 