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, Laws of the iterated logarithm for the local times of recurrent ran- dom walks on Z 2 and of Levy processes and recurrent random walks in the domain of attraction of Cauchy
Hence, we can define the marked Gromov-weak topology based on weak convergence of marked distance matrix distributions, which turns ▼ I into a Polish space (Theorem
The product of subsequent partial sums of independent, identically distributed, square inte- grable, positive random variables is asymptotically lognormal.. The result extends in
Subordinated processes are processes constructed from integral representations with random kernels, or said another way, where the stable random measure (of the integral
How will the simulation be affected if the source of randomness is not truly random but only pseudo random in the following specific sense, the random bits are k -wise independent
The paper is organized as follows: in section 2 reinforced random walks are defined and their representation with urn processes is given.. In section 3 are given the results on
(1978), Marcinkiewicz Laws and Convergence Rates in the Law of Large Numbers for Random Variables with multidimensional indices. (1980), Convergence Rates for Probabilities of
We present a short probabilistic proof of a weak convergence result for the number of cuts needed to isolate the root of a random recursive tree.. The proof is based on a
