On The Asymptotic Generalized Order Statistics And Related Functions | Asymptotic Generalized Order Statistics And Related Functions

Haroon Barakat (u. a.)

ISBN 10: 3659303445 / ISBN 13: 9783659303449

Published by LAP LAMBERT Academic Publishing, 2012

About this Item

On The Asymptotic Generalized Order Statistics And Related Functions | Asymptotic Generalized Order Statistics And Related Functions | Haroon Barakat (u. a.) | Taschenbuch | 120 S. | Englisch | 2012 | LAP LAMBERT Academic Publishing | EAN 9783659303449 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

Seller Inventory # 106160680

Bibliographic Details

• Title: On The Asymptotic Generalized Order Statistics And Related Functions | Asymptotic Generalized Order Statistics And Related Functions
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2012
• Language: English
• ISBN 10: 3659303445
• ISBN 13: 9783659303449
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 8D millimeters 220 millimeters width by 150 millimeters height by 8 millimeters depth
• Weight: 197 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Kamps (1995) suggested a new theoretical approach, which is called generalized order statistics (gos). This new model includes ordinary order statistics (oos), sequential order statistics, progressive type II censored order statistics and record values. The concept of gos enables a common approach to structural similarities and analogies. The distributional and inferential properties of oos and record values turn out to remain valid for gos (cf. Cramer and Kamps, 2001). Thus, the concept of gos provides a large class of models with many interesting and useful properties for both the description and the analysis of practical problems. Due to this reason, the question arises whether the general distribution theory of gos as well as their properties can be obtained by analogy with that for oos. The latter has been extensively investigated in the literature, e.g., see, David, 1981. The main purpose of this thesis is to investigate the asymptotic behavior of some important functions of gos, in view of theory of statistics and its applications. Some of these functions are non-linear, e.g., extremal product and extremal quotient and other are linear e.g., range and midrange.

About the Author

1-Prof. H. M. Barakat received his Ph.D. in 1986-Math. Statist-Moscow state Univ. He was awarded the EgyptianEncouraging State Prize in Math. In 2007 he was awarded Distinctionnational State Prize in Basic Science.2-Prof. E. M. Nigm received his His Ph.D. in 1990-Math. Statist-Zag. Univ. In 2011, he awarded Encouraging Zag. Univ. in Math.