Stochastic processes form the backbone of modern probability theory, describing systems that evolve randomly over time or space. They are instrumental in areas ranging from statistical physics to ...

This is a preview. Log in through your library . Abstract Through the study of a simple embedded martingale we obtain an extension of the Kesten-Stigum theorem and prove a central limit theorem for ...

Dans cet article, nous présentons une nouvelle preuve du théorème central limite de Selberg pour les fonctions L de Dirichlet, basée sur une méthode de Radziwiłł et Soundararajan. De plus, nous ...

The usual local central limit theorem provides an approximation for the probability for an iid sequence . The approximation is proportional to the lattice size of the underlying distribution of the ...

Studies axioms, counting formulas, conditional probability, independence, random variables, continuous and discrete distribution, expectation, joint distributions, moment generating functions, law of ...