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pro vyhledávání: '"Garmirian, Patricia"'
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 integral with respect to it is definable. For the resulting integral, two
Externí odkaz:
http://arxiv.org/abs/1610.00208
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 arising from the direct proof of the Central Limit Theorem given in [ar
Externí odkaz:
http://arxiv.org/abs/1603.06006
Autor:
Dobric, Vladimir, Garmirian, Patricia
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 pinpoints the role of $L^{2}([0,1])$ in the CLT as well as the assumption o
Externí odkaz:
http://arxiv.org/abs/1507.00357
Autor:
Dobrić, Vladimir1 vd00@lehigh.edu, Garmirian, Patricia2 pgarmiri@bowdoin.edu, Skyers, Marina3 marinaskyers@gmail.com, Stanley, Lee J.1 ljs4@lehigh.edu
Publikováno v:
Illinois Journal of Mathematics. 2019, Vol. 63 Issue 2, p219-257. 39p.
Autor:
DOBRIć, VLADIMIR1 vd00@lehigh.edu, GARMIRIAN, PATRICIA2 patricia.garmirian@tufts.edu
Publikováno v:
Illinois Journal of Mathematics. Fall/Winter2017, Vol. 61 Issue 3/4, p355-370. 16p.