Let X=(Xt)t[greater-or-equal, slanted]0 be the square of a [delta] ([greater-or-equal, slanted]0)-dimensional Bessel process starting at zero. Define iterated stochastic integrals In(t,[delta]), t[greater-or-equal, slanted]0 inductively bywith I0(t,[delta])=1 and I1(t,[delta])=Xt. Then the inequalitiesandare proved to hold for all 0Bessel processes Iterated stochastic integrals Brownian motion Martingales Ito's formula
We trace Itô's early work in the 1940s, concerning stochastic integrals, stochastic differential equ...
AbstractLet {Xt} be a continuous square integrable martingale. Denote its increasing (natural) proce...
International audienceIn this paper we introduce the concept of \textit{conic martingales}. This cla...
By using the Itô calculus, a law of the iterated logarithm (LIL) is established for stochastic integ...
Wiener integrals for centered powers of Bessel processes, I Tadahisa Funaki∗, Yuu Hariya†and Marc Yo...
AbstractLet {Xt} be a continuous square integrable martingale. Denote its increasing (natural) proce...
AbstractBy using the Itô calculus, a law of the iterated logarithm (LIL) is established for stochast...
In previous papers [T. Funaki, Y. Hariya, M. Yor, Wiener integrals for centered powers of Bessel pro...
For a squared Bessel process, X, the Laplace transforms of joint laws of (U;R Ry0 Xps ds) are studie...
For a squared Bessel process, X, the Laplace transforms of joint laws of (U;R Ry0 Xps ds) are studie...
We study the behavior of $ \phi$-sub-Gaussian martingales $ (M_t)_{t>0}$ as $ t \to 0$. Applications...
We consider some versions and generalizations of an approach to the expansion of iterated Ito stocha...
process and I+ d W is a stochastic integral, a twice continuously differentiable function f(X,) is a...
We consider some versions and generalizations of an approach to the expansion of iterated Ito stocha...
Iterated Bessel processes R[gamma](t),t>0,[gamma]>0 and their counterparts on hyperbolic spaces, i.e...
We trace Itô's early work in the 1940s, concerning stochastic integrals, stochastic differential equ...
AbstractLet {Xt} be a continuous square integrable martingale. Denote its increasing (natural) proce...
International audienceIn this paper we introduce the concept of \textit{conic martingales}. This cla...
By using the Itô calculus, a law of the iterated logarithm (LIL) is established for stochastic integ...
Wiener integrals for centered powers of Bessel processes, I Tadahisa Funaki∗, Yuu Hariya†and Marc Yo...
AbstractLet {Xt} be a continuous square integrable martingale. Denote its increasing (natural) proce...
AbstractBy using the Itô calculus, a law of the iterated logarithm (LIL) is established for stochast...
In previous papers [T. Funaki, Y. Hariya, M. Yor, Wiener integrals for centered powers of Bessel pro...
For a squared Bessel process, X, the Laplace transforms of joint laws of (U;R Ry0 Xps ds) are studie...
For a squared Bessel process, X, the Laplace transforms of joint laws of (U;R Ry0 Xps ds) are studie...
We study the behavior of $ \phi$-sub-Gaussian martingales $ (M_t)_{t>0}$ as $ t \to 0$. Applications...
We consider some versions and generalizations of an approach to the expansion of iterated Ito stocha...
process and I+ d W is a stochastic integral, a twice continuously differentiable function f(X,) is a...
We consider some versions and generalizations of an approach to the expansion of iterated Ito stocha...
Iterated Bessel processes R[gamma](t),t>0,[gamma]>0 and their counterparts on hyperbolic spaces, i.e...
We trace Itô's early work in the 1940s, concerning stochastic integrals, stochastic differential equ...
AbstractLet {Xt} be a continuous square integrable martingale. Denote its increasing (natural) proce...
International audienceIn this paper we introduce the concept of \textit{conic martingales}. This cla...