الفهرس 
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Abstract
Kamps (1995a) suggested a new theoretical approach, which is called generalized order statistics (gos). This new mo del includes ordinary order statistics (o os), sequential order statistics (sos), progressive typ e I I censored order statistics (p os), record values, kth record values and Pfeifers records. The concept of generalized order statistics enables a common approach to structural similarities and analogies. Known results in submo dels can b e subsumed, generalized, and integrated within a general framework. Moreover the distributional and inferential prop erties of ordinary order statistics and record values turn out to remain valid for generalized order statistics (cf. Kamps, 1995a,b, Cramer and Kamps, 2001). Thus, the concept of gos provides a large class of mo dels with many interesting and useful prop erties for b oth 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 prop erties can b e obtained by analogy with that for o os. The latter has b een extensively investigated in the literature, e.g., see, David, 1981, Arnold et al. 1992, Balakrishnan and Rao, 1998a,b. The main purp ose of this thesis is to investigate the asymptotic b ehavior of some imp ortant functions of gos, in view of theory of statistics and its applications. Some of these functions are non-linear, e.g., extremal pro duct and extremal quotient and other are linear e.g., range and midrange. Now comes to mind the following question:-