1. Limit theorems for runs based on ‘small spacings’
- Author
-
Stepanov, A.
- Subjects
- *
LIMIT theorems , *STATISTICS , *NONPARAMETRIC statistics , *STATISTICAL hypothesis testing , *ORDER statistics , *ASYMPTOTIC expansions - Abstract
Abstract: A new concept of runs was proposed in the work of . A sequence of spacings forms a run if the lengths of these spacings do not exceed . In that paper, asymptotic properties of such spacings were investigated and statistical criteria proposed. In our present study, we maintain research on runs associated with these spacings. We derive limit theorems for the total number of runs, longest run and propose a statistical criterion. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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