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Probability limit theorems assuming only the first moment I

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An invariance principle for certain probability limit theorems
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Article
Probability limit theorems assuming only the first moment I

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Teoremas límites para productos de variables aleatorias
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Year: 1950 Publisher: Buenos Aires : Universidad de Buenos Aires, Facultad de Ciencias exactas y Naturales,

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Traffic distributions and independence : permutation invariant random matrices and the three notions of independence
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ISBN: 9781470442989 1470442981 Year: 2020 Publisher: Providence, RI : American Mathematical Society,

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Limit distributions for sums of independent random variables
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Year: 1954 Publisher: Cambridge, Mass. : Addison-Wesley,


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Limit distributions for sums of independent random variables
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Year: 1968 Publisher: Reading, Mass. : Addison-Wesley,


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Introduction to statistical limit theory
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ISBN: 9781420076608 1420076604 9780367383138 Year: 2011 Publisher: Boca Raton, Fla CRC

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Helping students develop a good understanding of asymptotic theory, Introduction to Statistical Limit Theory provides a thorough yet accessible treatment of common modes of convergence and their related tools used in statistics. It also discusses how the results can be applied to several common areas in the field.The author explains as much of the background material as possible and offers a comprehensive account of the modes of convergence of random variables, distributions, and moments, establishing a firm foundation for the applications that appear later in the book. The text includes detailed proofs that follow a logical progression of the central inferences of each result. It also presents in-depth explanations of the results and identifies important tools and techniques. Through numerous illustrative examples, the book shows how asymptotic theory offers deep insight into statistical problems, such as confidence intervals, hypothesis tests, and estimation. With an array of exercises and experiments in each chapter, this classroom-tested book gives students the mathematical foundation needed to understand asymptotic theory. It covers the necessary introductory material as well as modern statistical applications, exploring how the underlying mathematical and statistical theories work together.


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Notions fondamentales de la théorie des probabilités : maîtrises de mathématiques
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Year: 1968 Publisher: Paris : Dunod,

Strong approximations in probability and statistics
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ISBN: 0121985407 1322558620 1483268047 9780121985400 Year: 1981 Publisher: New York

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