Michael Hediger

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math.PR2026

Equivalent Gaussian distributions on commutative spaces: An RKHS analysis

Michael Hediger

The investigation of equivalent Gaussian distributions for stochastic processes is a central problem in probability and statistics. In this context, the choice of the index set and…

math.PR2024

A note on maximal conditional entropy on Lebesgue spaces

Michael Hediger

Let $(X, B, P)$ be a probability space and $a$ be a sub $I ¨ $ -field that is generated by an increasing sequence of sub $I ¨ $ -fields $(\mathit{a}_{n})_{n \in \mathbb{…

math.PR2024

On the orthogonality of zero-mean Gaussian measures: Sufficiently dense sampling

Reinhard Furrer, Michael Hediger

For a stationary random function $I^¾$ , sampled on a subset $D$ of $R^{d}$ , we examine the equivalence and orthogonality of two zero-mean Gaussian measures $P_{1}$ …