This paper presents concentration inequalities and laws of large numbers under weak assumptions of irrelevance that are expressed using lower and upper expectations. The results build upon De Cooman and Miranda`s recent ...

We obtain strong laws of large numbers for the number of weak records among the first n observations from a sequence of nonnegative integer-valued independent identically distributed random variables.

We give necessary and sufficient conditions for laws of large numbers to hold in L2 for the empirical measure of a large class of branching Markov processes, including λ-positive systems but also some λ-transient ones, ...

The independent Bernoulli process, which is a sequence of independent Bernoulli random variables, is already widely known in the statistical literature. This masters thesis works with a generalization of this process: the ...

Consider a system of independent random walks in the discrete torus with creation-annihilation of particles and possible explosion of the total number of particles in finite time. Rescaling space and rates for diffusion/ ...