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Titlebook: Theory of U-Statistics; V. S. Koroljuk,Yu. V. Borovskich Book 1994 Springer Science+Business Media Dordrecht 1994 Approximation.Probabilit

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書目名稱Theory of U-Statistics
編輯V. S. Koroljuk,Yu. V. Borovskich
視頻videohttp://file.papertrans.cn/925/924017/924017.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Theory of U-Statistics;  V. S. Koroljuk,Yu. V. Borovskich Book 1994 Springer Science+Business Media Dordrecht 1994 Approximation.Probabilit
描述The theory of U-statistics goes back to the fundamental work of Hoeffding [1], in which he proved the central limit theorem. During last forty years the interest to this class of random variables has been permanently increasing, and thus, the new intensively developing branch of probability theory has been formed. The U-statistics are one of the universal objects of the modem probability theory of summation. On the one hand, they are more complicated "algebraically" than sums of independent random variables and vectors, and on the other hand, they contain essential elements of dependence which display themselves in the martingale properties. In addition, the U -statistics as an object of mathematical statistics occupy one of the central places in statistical problems. The development of the theory of U-statistics is stipulated by the influence of the classical theory of summation of independent random variables: The law of large num- bers, central limit theorem, invariance principle, and the law of the iterated logarithm we re proved, the estimates of convergence rate were obtained, etc.
出版日期Book 1994
關(guān)鍵詞Approximation; Probability theory; Random variable; mathematical statistics; statistics
版次1
doihttps://doi.org/10.1007/978-94-017-3515-5
isbn_softcover978-90-481-4346-7
isbn_ebook978-94-017-3515-5
copyrightSpringer Science+Business Media Dordrecht 1994
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