On the Asymptotic Generalized Order Statistics and Related Functions

Barakat, Haroon; Nigm, El Sayed; El Sawah, Ahmed

ISBN 10: 3659303445 / ISBN 13: 9783659303449

Published by VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2012

About this Item

Print on Demand pp. 120 2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam.

Seller Inventory # 131788430

Bibliographic Details

• Title: On the Asymptotic Generalized Order Statistics and Related Functions
• Publisher: VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG
• Publication Date: 2012
• Language: English
• ISBN 10: 3659303445
• ISBN 13: 9783659303449
• Binding: Soft cover
• Condition: New

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.