Abstract
Limit theorems are obtained for the numbers of observations in a random sample that fall within a left-hand or right-hand neighbourhood of the kth order statistic. The index k can be fixed, or tend to infinity as the sample size increases unboundedly. In essence, the proofs are applications of the classical Poisson and De Moivre–Laplace theorems.
Original language | English |
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Pages (from-to) | 375-395 |
Journal | Australian and New Zealand Journal of Statistics |
Volume | 51 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2009 |