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On limit distributions for intermediate order statistics under power normalization

โœ Scribed by H. M. Barakat; A. R. Omar

Book ID
115065169
Publisher
Allerton Press Inc
Year
2011
Tongue
English
Weight
201 KB
Volume
20
Category
Article
ISSN
1066-5307

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๐Ÿ“œ SIMILAR VOLUMES

On Limit Distributions for Order Statist
On Limit Distributions for Order Statistics
โœ Chibisov, D. M. ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 564 KB
On the normal uniform local domain of at
On the normal uniform local domain of attraction for intermediate order statistics
โœ Johan Segers ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 83 KB

Let X1; X2; : : : be independent observations from the absolutely continuous distribution function F with quantile function Q. The density of the normalized order statistic X n-kn+1 : n converges locally uniformly to the standard normal density for any sequence kn with kn โ†’ โˆž and kn=n โ†’ 0 if and onl