Institute of Mathematical Statistics

Monotonicity and decompositions of random regular graphs

In this work we establish several monotonicity and decomposition results in the framework of random regular graphs. Among other results, we show that, for a wide range of parameters d1≤d2, there exists a coupling of G(n,d1) and G(n,d2) satisfying that G(n,d1)⊆G(n,d2) with high pr...

Linear Saturation for \(\mathcal{N}\) via Butterflies

Abstract. Given a finite poset [Formula: see text], how small can a family [Formula: see text] of subsets of [Formula: see text] be such that [Formula: see text] does not contain an induced copy of [Formula: see text], but [Formula: see text] contains such a copy for all [Formula...

Behavior of Drinking Water Distribution Pipes Made of HDPE, AC, OLT 37, and OL37.1 in Contact with Water

Drinking water is essential for humans; its quality determines the health and proper functioning of the body. In order to obtain drinking water in accordance with the legislation in force, the performance of the technology applied for water treatment and the infrastructure for tr...

SurvSurf: a partially monotonic neural network for first-hitting time prediction of intermittently observed discrete and continuous sequential events

Abstract We propose SurvSurf, a neural-network-based survival model for direct, simultaneous probabilistic prediction of first-hitting times of sequential events from baseline. Unlike existing models, SurvSurf is theoretically guaranteed to never violate the monotonic relationshi...

AI-generated books and collection development practices: a survey of librarians in Nigerian university libraries

This paper explored AI-generated books and collection development practices among librarians in federal university libraries in Southern Nigeria. The study was anchored on the Diffusion of Innovation Theory (DOI). A descriptive survey design was employed, and the study population...

Properties of Multidimensional Vector Zeckendorf Representations

A generalization of Zeckendorf’s theorem states for integer k≥3, every nonnegative integer has a unique k-Zeckendorf representation as a sum of distinct k-bonacci numbers, where no k consecutive k-bonacci numbers are present in the representation. Anderson and Bicknell Johnson ex...