It is often claimed that opinions are more likely to be correct if they are held independently by many individuals. But what does it mean to hold independent opinions? To clarify this condition, we distinguish four notions of probabilistic opinion independence. Which notion applies depends on...

Knowledge of the direction of the causality between electricity consumption and economic growth is of primary importance if appropriate energy policies and energy conservation measures are to be devised.This study estimates the causality relationship between electricity consumption and economic...

In this present work I shall define the basic notions of superpositional filtrations. Given a superposition integral I shall find a general measure theory by means of cylinder sets and then I shall define the properties of the s-filtration for a general process X.

In this paper, we attempt to show the validity and limits of univariate time series modeling applied to annual production of sugar in Mauritius form 1879 to 1987. We analyse the series through the main components of long-term growth and stationary dynamics of short-term coupled with the impact...

Siljak’s Conjecture on the existence of a symmetric positive definite matrix V having a specified structure and satisfying Liapunov’s matrix equation A*V+VA= -W is shown to be true in cases when A is an orthogonal matrix; when A is a symmetric matrix; when A is a normal matrix or A is the...

Over the periods 1998-2002 and 2009-2011, the S&P-500 Index went from persistence to anti-persistence mode, as measured by the Hurst index H. To uncover the reasons that characterize such a change, this paper uses a simple method that consists in treating quasi self-similar segments of the Index...

Knowledge of the direction of the causality between electricity consumption and economic growth is of primary importance if appropriate energy policies and energy conservation measures are to be devised. This study estimates the causality relationship between electricity consumption and economic...

The study forecast Public Sector Development Program (PSDP) allocation to sports sector upto 2020 in Pakistan, utilizing time series secondary data ranging from 1988 to 2010, taken from official documents of the Ministry of Sports, Islamabad. For the analysis of the data, descriptive statistics...

We show that the main results of the expected utility and dual utility theories can be derived in a unified way from two fundamental mathematical ideas: the separation principle of convex analysis, and integral representations of continuous linear functionals from functional analysis. Our...