ASYMPTOTIC THEORY OF ORDER STATISTICS UNDER POWER NORMALIZATION

 

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  • Product Description
 

In the last two decades E. Pancheva and her collaborators were investigating various limit theorems for extremes using a wider class of normalizing mapping than the linear ones to get a wider class of limit laws. This wider class of extreme limits can be used in solving approximation problems. For extreme order statistics, in a recent paper by Sreehari (2009), the domains of attraction for general nonlinear normalizations are fully characterized, including the question of how to choose suitable norming functions from the knowledge of the sample distribution. The main aim of this thesis is to extend the work of Pancheva (1984) and Sreehari (2009) for the maximum order statistics to order statistics with variable ranks. It is shown that, in contrast to the case of extremes, the well known limit distributions for central order statistics under linear normalization (c.f Smirnov 1952) coincides with those under power normalization. In the case of intermediate order statistics all possible limit distributions under power normalization are derived from corresponding results in the extremal case. Furthermore, the corresponding domains of attractions of these possible limits are derived.

Product Specifications
SKU :COC24918
AuthorHaroon Barakat,Azza Omar and Samia El-Arishy
LanguageEnglish
BindingPaperback
Number of Pages128
Publishing Year2012-10-08T00:00:00.000
ISBN978-3659212666
Edition1 st
Book TypeStochastics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00
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