an:05126644
Zbl 1105.62050
López-Blázquez, Fernando; Wesołowski, Jacek
Top-\(k\)-lists
EN
Metrika 65, No. 1, 69-82 (2007).
0026-1335 1435-926X
2007
j
62G30 62E15 62G32 62G20
Record representations; Limit theorems; Generalized order statistics
Summary: Top-\(k\)-lists are introduced as sequences of \(k\)-dimensional random vectors with the ordered components being the \(k\) largest observations from a sequence of independent, identically distributed random variables. Such lists changing in time are natural stochastic models of ranking tables which appear in many situations in real life, when one wants to keep a track of several best results in a given field. Here we study basic properties of top-\(k\)-lists as joint distributions, conditional structures, representations, driving examples of top-\(k\)-lists from exponential and uniform distributions, asymptotics and a relation to generalized order statistics.