Pergamos - Library and Information Center of National and Kapodistrian University of Athens

Unit:

Κατεύθυνση Στατιστική και Επιχειρησιακή Έρευνα
Library of the School of Science

Deposit date:

2014-10-01

Year:

2014

Author:

Μπότσης Ιωάννης

Supervisors info:

Παπαδάτος Νικόλαος Αναπλ. Καθηγητής

Original Title:

Βέλτιστα φράγματα για την αναμενόμενη μέγιστη διατεταγμένη παρατήρηση και το δειγματικό εύρος

Languages:

Greek

Translated title:

TightI bounds of exprcted maximum order statistic and expected range

Summary:

Let be a sample of arbitrary, possibly dependent, random variables, and the
corresponding order statistics. In this thesis, we study the problem of finding
tight bounds for the expected value of maximum order statistic ΕΧn:n , and for
expected range
under given means and variances on n random variables . In both sections, we
find an extremal vector that attain the upper bound of ΕΧn:n and . In second
section, Papadatos (2014) derived the best possible upper bound for of Arnold Groeneveld (1979).

Keywords:

Bounds, Range, Order statistics, Maximum random variable, Probabilities

Index:

Number of index pages:

Contains images:

Yes

Number of references:

File:

https://pergamos.lib.uoa.gr/uoa/dl/object/1316538/file.pdf

Persistent URL:

https://pergamos.lib.uoa.gr/uoa/dl/object/1316538

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TightI bounds of exprcted maximum order statistic and expected range

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