Theoretical Statistics
نویسندگان
چکیده
منابع مشابه
Theoretical Statistics and Asymptotics
Cox and Hinkley’s Theoretical Statistics (1974) was arguably the first modern treatment of the foundations and theory of statistics, and for the past thirty years has served as a unique book for the study of what used to be called mathematical statistics. One of its strengths is the large number of examples that serve not only to illustrate key concepts, but also to illustrate limitations of ma...
متن کاملSpring 2014 Statistics 210 b ( Theoretical Statistics ) - Lecture Two Aditya
The main idea of upper bounding (3) is to use Rademachers. A Rademacher variable σ simply takes the two values +1 and −1 each with probability 1/2. Let σ1, . . . , σn be n independent Rademachers that are also independent of X1, . . . , Xn and X ′ 1, . . . , X ′ n. For each i, note that the distribution of f(Xi)−f(X ′ i) is the same as the distribution of f(X ′ i)− f(Xi). Therefore, the distrib...
متن کاملSpring 2014 Statistics 210 b ( Theoretical Statistics ) - Lecture One Aditya
1. Some aspects of classical empirical process theory: uniform laws of large numbers, process convergence and uniform central limit theorems. 2. M-estimation. Asymptotic theory of consistency, rates of convergence and limiting distribution. 3. Non-asymptotic theory of penalized empirical risk minimization; nonasymptotic deviation inequalities for suprema of empirical processes, oracle inequalit...
متن کاملOn the Mathematical Foundations of Theoretical Statistics
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متن کاملAlignment-Free Sequence Comparison (II): Theoretical Power of Comparison Statistics
Rapid methods for alignment-free sequence comparison make large-scale comparisons between sequences increasingly feasible. Here we study the power of the statistic D2, which counts the number of matching k-tuples between two sequences, as well as D2*, which uses centralized counts, and D2S, which is a self-standardized version, both from a theoretical viewpoint and numerically, providing an eas...
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ژورنال
عنوان ژورنال: Nature Physical Science
سال: 1971
ISSN: 0300-8746,2058-1106
DOI: 10.1038/physci229128c0