AbstractWe obtain some liminf limits for the Wiener sheet. The approach relies on a careful analysis of the lower tail of the Ornstein–Uhlenbeck process. Our results can be applied to normalized Kiefer and empirical processes. In particular, they yield a satisfying answer to Hirsch’s problem for the uniform empirical distribution function
16 pages. A typo in the statement of Theorem 1.1 has been corrected.We prove infinite-dimensional se...
AbstractIn this paper, the limit theorems on lag increments of a Wiener process due to Chen, Kong an...
AbstractWe obtain explicit expressions for the distribution of the maximum of particular two-paramet...
AbstractSome probability inequalities are obtained, and some liminf results are established for a tw...
AbstractLet (W(t), t⩾0), be a standard Wiener process and define •M+ (t) = max{W(u): u⩽t},&#...
AbstractLet W(t) be a standard Wiener process and let βt−1 = (2a t(log(t/at)+log log t)) 1/2 where a...
AbstractLet L(a, t) be the local time of a Wiener process, and put A(t) = sup|a|⩽g(t)L(a, t)L(0, t)−...
AbstractWe characterize the upper and lower functions of a real-valued Wiener process normalized by ...
AbstractFor a random walk governed by a general distribution function F on (−∞, +∞), we establish th...
AbstractLet B(s, t), s, t > 0, be a Brownian sheet. In contrast to the usual law of the iterated log...
AbstractSome parallel results of Gross' paper (Potential theory on Hilbert space, J. Functional Anal...
AbstractLet {X(t) : t ∈ R+N} denote the N-parameter Wiener process on R+N = [0, ∞)n. For multiple se...
AbstractIn this article we present a method for developing certain Wiener integrals in an asymptotic...
AbstractLet {W(t), t ⩾ 0} be a standard Wiener process and {tn, n ⩾ 1} be an increasing sequence of ...
AbstractWe obtain limit theorems for sup |αn(t,s)|(tλsμG(t)L(s)), where αn is the bivariate uniform ...
16 pages. A typo in the statement of Theorem 1.1 has been corrected.We prove infinite-dimensional se...
AbstractIn this paper, the limit theorems on lag increments of a Wiener process due to Chen, Kong an...
AbstractWe obtain explicit expressions for the distribution of the maximum of particular two-paramet...
AbstractSome probability inequalities are obtained, and some liminf results are established for a tw...
AbstractLet (W(t), t⩾0), be a standard Wiener process and define •M+ (t) = max{W(u): u⩽t},&#...
AbstractLet W(t) be a standard Wiener process and let βt−1 = (2a t(log(t/at)+log log t)) 1/2 where a...
AbstractLet L(a, t) be the local time of a Wiener process, and put A(t) = sup|a|⩽g(t)L(a, t)L(0, t)−...
AbstractWe characterize the upper and lower functions of a real-valued Wiener process normalized by ...
AbstractFor a random walk governed by a general distribution function F on (−∞, +∞), we establish th...
AbstractLet B(s, t), s, t > 0, be a Brownian sheet. In contrast to the usual law of the iterated log...
AbstractSome parallel results of Gross' paper (Potential theory on Hilbert space, J. Functional Anal...
AbstractLet {X(t) : t ∈ R+N} denote the N-parameter Wiener process on R+N = [0, ∞)n. For multiple se...
AbstractIn this article we present a method for developing certain Wiener integrals in an asymptotic...
AbstractLet {W(t), t ⩾ 0} be a standard Wiener process and {tn, n ⩾ 1} be an increasing sequence of ...
AbstractWe obtain limit theorems for sup |αn(t,s)|(tλsμG(t)L(s)), where αn is the bivariate uniform ...
16 pages. A typo in the statement of Theorem 1.1 has been corrected.We prove infinite-dimensional se...
AbstractIn this paper, the limit theorems on lag increments of a Wiener process due to Chen, Kong an...
AbstractWe obtain explicit expressions for the distribution of the maximum of particular two-paramet...