The Weak Representation of Intermediate Order Statistics.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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It is shown that under certain conditions a sample intermediate order statistic of a sequence of random variables has a representation in terms of the empirical distribution function and a remainder which is stochastically of small order. The methods employed yield readily to the general setting of sequences which are m-dependent and not necessarily identicially distributed. Under the assumptions it follows from the representation that the sequence of intermediate order statistics is asymptotically normal. Author
- Statistics and Probability