16 citations · 16 across the 3 of their papers we have counts for
8 papers
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…
Ergodicity in Riesz spaces
Jonathan Homann, Wen-Chi Kuo, Bruce A. Watson
The ergodic theorems of Hopf, Wiener and Birkhoff were extended to the context of Riesz spaces with a weak order unit and conditional expectation operator by Kuo, Labuschagne and W…
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…
Mixing inequalities in Riesz spaces
Wen-Chi Kuo, Michael Rogans, Bruce Alastair Watson
Various topics in stochastic processes have been considered in the abstract setting of Riesz spaces, for example martingales, martingale convergence, ergodic theory, AMARTS, Markov…