The Life and Times of the Central Limit Theorem

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9780821848999: The Life and Times of the Central Limit Theorem

The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random variables, suitably standardized, have cumulative distribution functions close to the Gaussian distribution. As the name Central Limit Theorem suggests, it is a centerpiece of probability theory which also carries over to statistics. Part One of ""The Life and Times of the Central Limit Theorem, Second Edition"" traces its fascinating history from seeds sown by Jacob Bernoulli to use of integrals of exp(x2) as an approximation tool, the development of the theory of errors of observation, problems in mathematical astronomy, the emergence of the hypothesis of elementary errors, the fundamental work of Laplace, and the emergence of an abstract Central Limit Theorem through the work of Chebyshev, Markov and Lyapunov. This closes the classical period of the life of the Central Limit Theorem, 1713-1901. The second part of the book includes papers by Feller and Le Cam, as well as comments by Doob, Trotter, and Pollard, describing the modern history of the Central Limit Theorem (1920-1937), in particular through contributions of Lindeberg, Cramer, Levy, and Feller. The Appendix to the book contains four fundamental papers by Lyapunov on the Central Limit Theorem, made available in English for the first time.

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Adams, William J.
Editore: American Mathematical Society
ISBN 10: 0821848992 ISBN 13: 9780821848999
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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, The Life and Times of the Central Limit Theorem (2nd Revised edition), William J. Adams, The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random variables, suitably standardized, have cumulative distribution functions close to the Gaussian distribution. As the name Central Limit Theorem suggests, it is a centerpiece of probability theory which also carries over to statistics. Part One of ""The Life and Times of the Central Limit Theorem, Second Edition"" traces its fascinating history from seeds sown by Jacob Bernoulli to use of integrals of exp(x2) as an approximation tool, the development of the theory of errors of observation, problems in mathematical astronomy, the emergence of the hypothesis of elementary errors, the fundamental work of Laplace, and the emergence of an abstract Central Limit Theorem through the work of Chebyshev, Markov and Lyapunov. This closes the classical period of the life of the Central Limit Theorem, 1713-1901. The second part of the book includes papers by Feller and Le Cam, as well as comments by Doob, Trotter, and Pollard, describing the modern history of the Central Limit Theorem (1920-1937), in particular through contributions of Lindeberg, Cramer, Levy, and Feller. The Appendix to the book contains four fundamental papers by Lyapunov on the Central Limit Theorem, made available in English for the first time. Codice libro della libreria B9780821848999

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Adams, William J.
Editore: American Mathematical Society, United States (2009)
ISBN 10: 0821848992 ISBN 13: 9780821848999
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. 2nd Revised edition. 256 x 180 mm. Language: English . Brand New Book. The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random variables, suitably standardized, have cumulative distribution functions close to the Gaussian distribution. As the name Central Limit Theorem suggests, it is a centerpiece of probability theory which also carries over to statistics. Part One of The Life and Times of the Central Limit Theorem, Second Edition traces its fascinating history from seeds sown by Jacob Bernoulli to use of integrals of exp(x2) as an approximation tool, the development of the theory of errors of observation, problems in mathematical astronomy, the emergence of the hypothesis of elementary errors, the fundamental work of Laplace, and the emergence of an abstract Central Limit Theorem through the work of Chebyshev, Markov and Lyapunov. This closes the classical period of the life of the Central Limit Theorem, 1713-1901. The second part of the book includes papers by Feller and Le Cam, as well as comments by Doob, Trotter, and Pollard, describing the modern history of the Central Limit Theorem (1920-1937), in particular through contributions of Lindeberg, Cramer, Levy, and Feller. The Appendix to the book contains four fundamental papers by Lyapunov on the Central Limit Theorem, made available in English for the first time. Codice libro della libreria AAN9780821848999

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Adams, William J.
Editore: American Mathematical Society, United States (2009)
ISBN 10: 0821848992 ISBN 13: 9780821848999
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Descrizione libro American Mathematical Society, United States, 2009. Hardback. Condizione libro: New. 2nd Revised edition. 256 x 180 mm. Language: English . Brand New Book. The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random variables, suitably standardized, have cumulative distribution functions close to the Gaussian distribution. As the name Central Limit Theorem suggests, it is a centerpiece of probability theory which also carries over to statistics. Part One of The Life and Times of the Central Limit Theorem, Second Edition traces its fascinating history from seeds sown by Jacob Bernoulli to use of integrals of exp(x2) as an approximation tool, the development of the theory of errors of observation, problems in mathematical astronomy, the emergence of the hypothesis of elementary errors, the fundamental work of Laplace, and the emergence of an abstract Central Limit Theorem through the work of Chebyshev, Markov and Lyapunov. This closes the classical period of the life of the Central Limit Theorem, 1713-1901. The second part of the book includes papers by Feller and Le Cam, as well as comments by Doob, Trotter, and Pollard, describing the modern history of the Central Limit Theorem (1920-1937), in particular through contributions of Lindeberg, Cramer, Levy, and Feller. The Appendix to the book contains four fundamental papers by Lyapunov on the Central Limit Theorem, made available in English for the first time. Codice libro della libreria AAN9780821848999

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Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97808218489991.0

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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. 2. Codice libro della libreria DADAX0821848992

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Descrizione libro American Mathematical Society, 2009. Condizione libro: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Early life and middle years: A seed is sown Approximation by integrals of $e^{-x^{2}}$ Impetus provided by the theory of errors of observation Impetus provided by mathematical astronomy The flowering of the central limit theorem begins The development of the hypothesis of elementary errors The emergence of an abstract central limit theorem Chebyshev's pupils: A. A. Markov and A. M. Lyapunov Bibliography The modern era: W. Feller, The fundamental limit theorems in probability L. Le Cam, The central limit theorem around 1935 H. F. Trotter, J. L. Doob, David Pollard, and L. Le Cam, Comments and rejoinder Appendix: A. M. Lyapunov, On a theorem in probability theory A. M. Lyapunov, On a theorem in probability theory A. M. Lyapunov, A general proposition in probability theory A. M. Lyapunov, A new form of a theorem on the limit of a probability Index. Codice libro della libreria ABE_book_new_0821848992

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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821848992

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Descrizione libro Amer Mathematical Society, 2009. Hardcover. Condizione libro: Brand New. 2nd edition. 195 pages. 10.08x7.09x0.71 inches. In Stock. Codice libro della libreria __0821848992

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Descrizione libro American Mathematical Society, 2009. Hardcover. Condizione libro: New. 2nd Revised edition. 0 x 0 cm. Our orders are sent from our warehouse locally or directly from our international distributors to allow us to offer you the best possible price and delivery time. Book. Codice libro della libreria MM-60848773

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Descrizione libro 2009. Hardcover. Condizione libro: New. 2nd Revised edition. 263mm x 181mm x. Hardcover. The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random vari.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 195 pages. 0.544. Codice libro della libreria 9780821848999

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