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Projecting Statistical Functionals
Tomasz Rychlik
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Description for Projecting Statistical Functionals
Paperback. This book unifies a large number of results concerning the quantile function and order statistics. The audience will be statisticians and some probabilists or people using statistics. Series: Lecture Notes in Statistics. Num Pages: 184 pages, biography. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 10. Weight in Grams: 299.
About 10 years ago I began studying evaluations of distributions of or der statistics from samples with general dependence structure. Analyzing in [78] deterministic inequalities for arbitrary linear combinations of order statistics expressed in terms of sample moments, I observed that we obtain the optimal bounds once we replace the vectors of original coefficients of the linear combinations by the respective Euclidean norm projections onto the convex cone of vectors with nondecreasing coordinates. I further veri fied that various optimal evaluations of order and record statistics, derived earlier by use of diverse techniques, may be expressed by means of projec ... Read more
About 10 years ago I began studying evaluations of distributions of or der statistics from samples with general dependence structure. Analyzing in [78] deterministic inequalities for arbitrary linear combinations of order statistics expressed in terms of sample moments, I observed that we obtain the optimal bounds once we replace the vectors of original coefficients of the linear combinations by the respective Euclidean norm projections onto the convex cone of vectors with nondecreasing coordinates. I further veri fied that various optimal evaluations of order and record statistics, derived earlier by use of diverse techniques, may be expressed by means of projec ... Read more
Product Details
Format
Paperback
Publication date
2001
Publisher
Springer-Verlag New York Inc. United States
Number of pages
184
Condition
New
Series
Lecture Notes in Statistics
Number of Pages
175
Place of Publication
New York, NY, United States
ISBN
9780387952390
SKU
V9780387952390
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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