An incomplete information game is defined by a probability distribution + over a type space and payoff functions u. Probability distribution +$ is strategically close to + if, for any bounded payoff functions u and any equilibrium of the game (+, u), there exists an approximate equilibrium of the game (+$, u) under which all players get approximately the same payoffs. This note shows that two p...

In this paper, we investigate some statistical properties of multiplication mod 2 for cryptographic use. For this purpose, we introduce a family of T-functions similar to modular multiplication, which we call M-functions. We obtain the probability distribution of M-functions as vectorial Boolean functions. At first, we determine the joint probability distribution of arbitrary number of the outp...

in this paper, a new framework has been developed for compatibility analysis of predictive climatic variables distribution with reference evapotranspiration (eto) in probabilistic analysis of water requirement. initially, measured monthly meteorological data of four cities of iran including kerman, shiraz, ramsar and babolsar synoptic weather station recorded from 1961 to 2003 were considered b...

here, we have considered the husimi and wigner distribution functions. we have, inparticular, shown how the uncertainty principle works for the two cases of simple and damped harmonicoscillators when either of these two distributions are used. the conclusion shows that the husimidistribution function remains non-negative through the phase space but it does not always satisfies theuncertainty pr...

although knowing the time of the occurrence of the earthquakes is vital and helpful, unfortunately it is still unpredictable. by the way there is an urgent need to find a method to foresee this catastrophic event. there are a lot of methods for forecasting the time of earthquake occurrence. another method for predicting that is to know probability density function of time interval between earth...

abstract climate change means a significant change in the long-term weather of a region in comparison with what has been observed during a long term period. precipitation and minimum and maximum temperature are three variables which are affected directly by the climate change. furthermore, the water yield of a river is one of the most important hydrological variables of a basin which is affecte...