3 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
Sub-diffusion processes in Hilbert space and their associated stochastic differential equations and Fokker-Planck-Kolmogorov equations
Lise Chlebak, Patricia Garmirian, Qiong Wu
This paper focuses on the time-changed Q-Wiener process, a Hilbert space-valued sub-diffusion. It is a martingale with respect to an appropriate filtration, hence a stochastic inte…
Polynomial Time Computable Triangular Arrays For Almost Sure Convergence
Vladimir Dobric, Marina Skyers, Lee J. Stanley
For 0 < x < 1, take the binary expansion with infinitely many 0's, replace each 0 with -1, this gives the polarized binary expansion of x. Let R_i(x) be the ith "polarized bit" and…
Polynomial Time Relatively Computable Triangular Arrays in a Multinomial Setting
Vladimir Dobric, Patricia Garmirian, Lee J. Stanley
We extend the methods and results of [arXiv 1603.04896] to the setting of multinomial distributions satisfying certain properties. These include all the multinomial distributions a…
A New Direct Proof of the Central Limit Theorem
Vladimir Dobric, Patricia Garmirian
We prove the Central Limit Theorem (CLT) from the definition of weak convergence using the Haar wavelet basis, calculus, and elementary probability. The use of the Haar basis pinpo…