Asymptotic Expansions for General Statistical Models (Lecture Notes in Statistics)

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9780387962214: Asymptotic Expansions for General Statistical Models (Lecture Notes in Statistics)

0.1. The aim of the book Our "Contributions to a General Asymptotic Statistical Theory" (Springer Lecture Notes in Statistics, Vol. 13, 1982, called "Vol. I" in the following) suggest to describe the local structure of a general family ~ of probability measures by its tangent space, and the local behavior of a functional K: ~ ~~k by its gradient. Starting from these basic concepts, asymptotic envelope power functions for tests and asymptotic bounds for the concentration of estimators are obtained, and heuristic procedures are suggested for the construction of test- and estimator-sequences attaining these bounds. In the present volume, these asymptotic investigations are carried one step further: From approximations by limit distributions to approximations by Edgeworth expansions, 1 2 adding one term (of order n- / ) to the limit distribution. As in Vol. I, the investigation is "general" in the sense of dealing with arbitrary families of probability measures and arbitrary functionals. The investigation is special in the sense that it is restricted to statistical procedures based on independent, identically distributed observations. 2 Moreover, it is special in the sense that its concern are "regular" models (i.e. families of probability measures and functionals which are subject to certain general conditions, like differentiability). Irregular models are certainly of mathematical interest. Since they are hardly of any practical relevance, it appears justifiable to exclude them at this stage of the investigation.

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Johann Pfanzagl
Editorial: Springer-Verlag New York Inc. (1985)
ISBN 10: 0387962212 ISBN 13: 9780387962214
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Descripción Springer-Verlag New York Inc., 1985. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780387962214

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Johann Pfanzagl
Editorial: Springer-Verlag New York Inc., United States (1985)
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Descripción Springer-Verlag New York Inc., United States, 1985. Paperback. Estado de conservación: New. 1985 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 0.1. The aim of the book Our Contributions to a General Asymptotic Statistical Theory (Springer Lecture Notes in Statistics, Vol. 13, 1982, called Vol. I in the following) suggest to describe the local structure of a general family ~ of probability measures by its tangent space, and the local behavior of a functional K: ~ ~~k by its gradient. Starting from these basic concepts, asymptotic envelope power functions for tests and asymptotic bounds for the concentration of estimators are obtained, and heuristic procedures are suggested for the construction of test- and estimator-sequences attaining these bounds. In the present volume, these asymptotic investigations are carried one step further: From approximations by limit distributions to approximations by Edgeworth expansions, 1 2 adding one term (of order n- / ) to the limit distribution. As in Vol. I, the investigation is general in the sense of dealing with arbitrary families of probability measures and arbitrary functionals. The investigation is special in the sense that it is restricted to statistical procedures based on independent, identically distributed observations. 2 Moreover, it is special in the sense that its concern are regular models (i.e. families of probability measures and functionals which are subject to certain general conditions, like differentiability). Irregular models are certainly of mathematical interest. Since they are hardly of any practical relevance, it appears justifiable to exclude them at this stage of the investigation. Nº de ref. de la librería LIE9780387962214

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Johann Pfanzagl
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Descripción Springer-Verlag New York Inc., 1985. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780387962214

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Johann Pfanzagl
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Descripción Springer-Verlag New York Inc., United States, 1985. Paperback. Estado de conservación: New. 1985 ed.. Language: English . Brand New Book ***** Print on Demand *****.0.1. The aim of the book Our Contributions to a General Asymptotic Statistical Theory (Springer Lecture Notes in Statistics, Vol. 13, 1982, called Vol. I in the following) suggest to describe the local structure of a general family ~ of probability measures by its tangent space, and the local behavior of a functional K: ~ ~~k by its gradient. Starting from these basic concepts, asymptotic envelope power functions for tests and asymptotic bounds for the concentration of estimators are obtained, and heuristic procedures are suggested for the construction of test- and estimator-sequences attaining these bounds. In the present volume, these asymptotic investigations are carried one step further: From approximations by limit distributions to approximations by Edgeworth expansions, 1 2 adding one term (of order n- / ) to the limit distribution. As in Vol. I, the investigation is general in the sense of dealing with arbitrary families of probability measures and arbitrary functionals. The investigation is special in the sense that it is restricted to statistical procedures based on independent, identically distributed observations. 2 Moreover, it is special in the sense that its concern are regular models (i.e. families of probability measures and functionals which are subject to certain general conditions, like differentiability). Irregular models are certainly of mathematical interest. Since they are hardly of any practical relevance, it appears justifiable to exclude them at this stage of the investigation. Nº de ref. de la librería AAV9780387962214

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Johann Pfanzagl
Editorial: Springer-Verlag New York Inc., United States (1985)
ISBN 10: 0387962212 ISBN 13: 9780387962214
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Descripción Springer-Verlag New York Inc., United States, 1985. Paperback. Estado de conservación: New. 1985 ed.. Language: English . Brand New Book ***** Print on Demand *****. 0.1. The aim of the book Our Contributions to a General Asymptotic Statistical Theory (Springer Lecture Notes in Statistics, Vol. 13, 1982, called Vol. I in the following) suggest to describe the local structure of a general family ~ of probability measures by its tangent space, and the local behavior of a functional K: ~ ~~k by its gradient. Starting from these basic concepts, asymptotic envelope power functions for tests and asymptotic bounds for the concentration of estimators are obtained, and heuristic procedures are suggested for the construction of test- and estimator-sequences attaining these bounds. In the present volume, these asymptotic investigations are carried one step further: From approximations by limit distributions to approximations by Edgeworth expansions, 1 2 adding one term (of order n- / ) to the limit distribution. As in Vol. I, the investigation is general in the sense of dealing with arbitrary families of probability measures and arbitrary functionals. The investigation is special in the sense that it is restricted to statistical procedures based on independent, identically distributed observations. 2 Moreover, it is special in the sense that its concern are regular models (i.e. families of probability measures and functionals which are subject to certain general conditions, like differentiability). Irregular models are certainly of mathematical interest. Since they are hardly of any practical relevance, it appears justifiable to exclude them at this stage of the investigation. Nº de ref. de la librería AAV9780387962214

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JOHANN PFANZAGL
Editorial: Springer (1985)
ISBN 10: 0387962212 ISBN 13: 9780387962214
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Descripción Springer, 1985. Paperback. Estado de conservación: NEW. 9780387962214 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. de la librería HTANDREE0508812

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Wefelmeyer, W.
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780387962214_lsuk

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Johann Pfanzagl
Editorial: Springer (1985)
ISBN 10: 0387962212 ISBN 13: 9780387962214
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Descripción Springer, 1985. Estado de conservación: New. This item is printed on demand for shipment within 3 working days. Nº de ref. de la librería LP9780387962214

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Pfanzagl, Johann
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Descripción Springer, 2017. Paperback. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería 0387962212

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Pfanzagl, Johann; Wefelmeyer, W. [Assistant]
Editorial: Springer (1985)
ISBN 10: 0387962212 ISBN 13: 9780387962214
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Descripción Springer, 1985. Paperback. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería INGM9780387962214

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