4 papers
An MTP property for conditional distributions
Sebastian Fuchs, Yuping Wang
We introduce a new notion of positive dependence, namely multivariate total positivity of order two for conditional distributions, denoted cMTP, that explicitly incorporates th…
The Fejér-Dirichlet Lift: Entire Functions and -Factorization Identities
Sebastian Fuchs
A Fejér-Dirichlet lift is developed that turns divisor information at the integers into entire interpolants with explicit Dirichlet-series factorizations. For absolutely summable w…
Fejér-Kernel Prime Indicators
Sebastian Fuchs
A prime indicator is constructed by applying the Fejér identity to the sine-quotient encoder of trial division. For integers $n\ge…
Hierarchical variable clustering based on the predictive strength between random vectors
Sebastian Fuchs, Yuping Wang
A rank-invariant clustering of variables is introduced that is based on the predictive strength between groups of variables, i.e., two groups are assigned a high similarity if the…