Linear estimation of location and scale parameters using partial maxima
dc.contributor.author | Papadatos, Nickos | en |
dc.creator | Papadatos, Nickos | en |
dc.date.accessioned | 2019-12-02T10:37:16Z | |
dc.date.available | 2019-12-02T10:37:16Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57359 | |
dc.description.abstract | Consider an i. i. d. sample X 1*, X 2*,..., X n*, from a location-scale family, and assume that the only available observations consist of the partial maxima (or minima) sequence, X 1:1*,X 2:2*,..., X n:n*, where X j:j* = max{X 1*,..., X j*} This kind of truncation appears in several circumstances, including best performances in athletics events. In the case of partial maxima, the form of the BLUEs (best linear unbiased estimators) is quite similar to the form of the well-known Lloyd's (in Biometrica 39:88-95, 1952) BLUEs, based on (the sufficient sample of) order statistics, but, in contrast to the classical case, their consistency is no longer obvious. The present paper is mainly concerned with the scale parameter, showing that the variance of the partial maxima BLUE is at most of order O(1/ log n), for a wide class of distributions. © 2010 Springer-Verlag. | en |
dc.source | Metrika | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84856242344&doi=10.1007%2fs00184-010-0325-5&partnerID=40&md5=dcf2674d319b15779336c91dd982f755 | |
dc.subject | Location-scale family | en |
dc.subject | Consistency for the scale estimator | en |
dc.subject | Log-concave distributions | en |
dc.subject | NCP and NCS class | en |
dc.subject | Partial Maxima BLUEs | en |
dc.subject | Partial Maxima Spacings | en |
dc.subject | Records | en |
dc.subject | S/BSW-type condition | en |
dc.title | Linear estimation of location and scale parameters using partial maxima | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s00184-010-0325-5 | |
dc.description.volume | 75 | |
dc.description.issue | 2 | |
dc.description.startingpage | 243 | |
dc.description.endingpage | 270 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.source.abbreviation | Metrika | en |
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