This is a preview. Log in through your library . Abstract Let {Xn, n = 0, ± 1, ⋯} be a real valued discrete parameter stationary stochastic process on a probability space (Ω, F, P); for each n = 1, 2, ...

Under an appropriate regular variation condition, the affinely normalized partial sums of a sequence of independent and identically distributed random variables converges weakly to a non-Gaussian ...

Random walks constitute one of the cornerstone concepts in probability theory and statistical physics, representing a class of stochastic processes in which a moving entity takes successive steps in ...

Godel’s theorems on the incompleteness and undecidability of mathematical systems are among the deepest and most significant discoveries of the 20 th century. They represent a dramatic failure of one ...