Abstract
A Cramér type large deviation theorem is proved under alternatives as well as under hypothesis for the generalized linear rank statistic which includes as special cases (unsigned) linear rank statistics, signed linear rank statistics, linear combination of functions of order statistics, and a rank combinatorial statistic.
Original language | English |
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Title of host publication | Probability Theory and Extreme Value Theory |
Editors | Madan Lal Puri |
Publisher | De Gruyter Mouton |
Pages | 80-90 |
Number of pages | 11 |
Volume | 2 |
ISBN (Electronic) | 9783110917826 |
ISBN (Print) | 9789067643856 |
State | Published - 2003 |
ASJC Scopus Subject Areas
- General Mathematics
Keywords
- Large deviation probabilities
- Linear rank statistics
- Order statistics
- Rank combinatorial statistic