A quadratic regression problem for two-state algebras with application to the Central Limit Theorem

Abstract

We extend a free version of the Laha-Lukacs theorem to probability spaces with two-states. We then use this result to generalize a noncommutative CLT of Kargin to the two-state setting.

References in corpus (2)

• Appell polynomials and their relatives II. Boolean theory
• Limit theorems for additive c-free convolution

Cited by in corpus (1)

• Limit theorems for additive c-free convolution