{ "item_title" : "On the Estimation of Multiple Random Integrals and U-Statistics", "item_author" : [" Péter Major "], "item_description" : "1 Introduction.- 2 Motivation of the investigation. Discussion of some problems.- 3 Some estimates about sums of independent random variables.- 4 On the supremum of a nice class of partial sums.- 5 Vapnik- Červonenkis classes and L2-dense classes of functions .- 6 The proof of Theorems 4.1 and 4.2 on the supremum of random sums.- 7 The completion of the proof of Theorem 4.1.- 8 Formulation of the main results of this work.- 9 Some results about U-statistics.- 10 MultipleWiener-Itintegrals and their properties.- 11 The diagram formula for products of degenerate U-statistics.- 12 The proof of the diagram formula for U-statistics.- 13 The proof of Theorems 8.3, 8.5 and Example 8.7.- 14 Reduction of the main result in this work.- 15 The strategy of the proof for the main result of this work.- 16 A symmetrization argument.- 17 The proof of the main result.- 18 An overview of the results and a discussion of the literature.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/3/64/237/616/3642376169_b.jpg", "price_data" : { "retail_price" : "59.99", "online_price" : "59.99", "our_price" : "59.99", "club_price" : "59.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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