On The Asymptotic Generalized Order Statistics And Related Functions: Asymptotic Generalized Order Statistics And Related Functions - Couverture souple

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

 
9783659303449: On The Asymptotic Generalized Order Statistics And Related Functions: Asymptotic Generalized Order Statistics And Related Functions
Couverture souple
ISBN 10 : 3659303445 ISBN 13 : 9783659303449
Editeur : LAP LAMBERT Academic Publishing, 2012

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3659303445
ISBN 13 
9783659303449
Reliure
Broché
Nombre de pages
120
Coordonnées du fabricant
non disponible
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