L. Oluoch

collaborators

3 papers

math.PR2021

Asymptotic distributions for weighted power sums of extreme values

Lillian Achola Oluoch, László Viharos

Let $X_{1, n} \leq \dots \leq X_{n, n}$ be the order statistics of $n$ independent random variables with a common distribution function $F$ having right heavy tail with tail index $γ$ . G…

math.CO2020

Four-element generating sets of partition lattices and their direct products

Gábor Czédli, Lillian Oluoch

Let $n > 3$ be a natural number. By a 1975 result of H. Strietz, the lattice Part $(n)$ of all partitions of an $n$ -element set has a four-element generating set. In 1983, L. Zádori g…

math.ST2020

Limit laws for the norms of extremal samples

Peter Kevei, Lillian Oluoch, Laszlo Viharos

Let denote $S_{n} (p) = k_{n}^{- 1} \sum_{i = 1}^{k_{n}} (lo g (X_{n + 1 - i, n} / X_{n - k_{n}, n}))^{p}$ , where $p > 0$ , $k_{n} \leq n$ is a sequence of integers such that $k_{n} \to \infty$ …