16 citations · 16 across the 3 of their papers we have counts for
8 papers · 1 filter
The Stein-Chen method and a Law of Small Numbers in Riesz Spaces
Wen-Chi Kuo, Nigel Musara, Bruce A. Watson
Martingales, Markov processes and Laws of Large Numbers have been well studied in the Riesz space (vector lattice) setting. There has, however, been no attention given in the Riesz…
The -strong duals of and
Florian Boisen, Anke Kalauch, Wen-Chi Kuo +2
For a conditional expectation operator on a Dedekind complete Riesz space, we give representations of the -strong duals of and . The representation for…
On the Koopman-von Neumann convergence condition of Cesàro means in Riesz spaces
Jonathan Homann, Wen-Chi Kuo, Bruce A. Watson
We extend the Koopman-von Neumann convergence condition on the Cesàro mean to the context of a Dedekind complete Riesz space with weak order unit. As a consequence, a characterisat…
The Hájek-Rényi-Chow maximal inequality and a strong law of large numbers in Riesz spaces
Wen-Chi Kuo, David F. Rodda, Bruce A. Watson
In this paper we generalize the Hájek-Rényi-Chow maximal inequality for submartingales to type Riesz spaces with conditional expectation operators. As applications we obtain…
Near-Epoch Dependence in Riesz Spaces
Wen-Chi Kuo, Michael Rogans, Bruce Alastair Watson
The abstraction of the study of stochastic processes to Banach lattices and vector lattices has received much attention by Grobler, Kuo, Labuschagne, Stoica, Troitsky and Watson ov…
Strong sequential completeness of the natural domain of a conditional expectation operator in Riesz spaces
Wen-Chi Kuo, David Rodda, Bruce A. Watson
Strong convergence and convergence in probability were generalized to the setting of a Riesz space with conditional expectation operator, , in [{{\sc Y. Azouzi, W.-C. Kuo, K. Ra…