Asymptotic uniformity of fractional parts of maxima, and the limit behavior of the number of maxima in a discrete sample has been recently studied in the literature. We consider the relationship between these two subjects. Furthermore, we study the convergence in distribution of fractional parts of maxima more generally.
|Original language||English (US)|
|Number of pages||10|
|Journal||Statistics and Probability Letters|
|State||Published - Apr 1 1997|
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- Distribution modulo 1
- Extreme order statistics
- Fractional parts
- Number of maxima