16 citations · 21 across the 13 of their papers we have counts for
13 papers
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…
Strong completeness of a class of L2-type Riesz spaces
Anke Kalauch, Wenchi Kuo, Bruce Watson
Strong convergence and convergence in probability were generalized to the setting of a Riesz space with conditional expectation operator, T, in [Y. Azouzi, W.-C. Kuo, K. Ramdane, B…
A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces
Anke Kalauch, Wen-Chi Kuo, Bruce Alastair Watson
We give a Hahn-Jordan decomposition in Riesz spaces which generalizes that of [{{\sc B. A. Watson}, {An Andô-Douglas type theorem in Riesz spaces with a conditional expectation,} {…
Characterisation of conditional weak mixing via ergodicity of the tensor product in Riesz Spaces
Mohamed Amine Ben Amor, Jonathan M. Homann, Wenchi Kuo +1
We link conditional weak mixing and ergodicity of the tensor product in Riesz spaces. In particular, we characterise conditional weak mixing of a conditional expectation preserving…
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…
Mixingales on Riesz spaces
Wen-Chi Kuo, Jessica Joy Vardy, Bruce Alastair Watson
A mixingale is a stochastic process which combines properties of martingales and mixing sequences. McLeish introduced the term mixingale at the Conference on Stochastic Pr…
Bernoulli Processes in Riesz spaces
Wen-Chi Kuo, Jessica Joy Vardy, Bruce Alastair Watson
The action and averaging properties of conditional expectation operators are studied in the, measure-free, Riesz space, setting of Kuo, Labuschagne and Watson [{Conditional expecta…