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In this book the authors consider so-called ill-posed problems and stability in statistics. The objective of the authors of this book is to identify statistical problems of this type, find their stable variant, and propose alternative versions of numerous theorems in mathematical statistics.
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- PublisherNova Science Pub Inc
- Publication date2009
- ISBN 10 1607417685
- ISBN 13 9781607417682
- BindingHardcover
- Number of pages317
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Robust and Non-Robust Models in Statistics
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ISBN 13: 9781607417682
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Book Description Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-F-047-00032
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Robust and Non-Robust Models in Statistics
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Robust and NonRobust Models in Statistics
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Robust and Non-Robust Models in Statistics
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Robust and NonRobust Models in Statistics
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ISBN 13: 9781607417682
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Robust & Non-Robust Models in Statistics
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(2009)
ISBN 10: 1607417685
ISBN 13: 9781607417682
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Robust and Non-Robust Models in Statistics
Published by
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(2009)
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ISBN 13: 9781607417682
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Robust and Non-Robust Models in Statistics
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Robust & Non-Robust Models in Statistics (Hardcover)
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Book Description Hardcover. Condition: new. Hardcover. In this book the authors consider so-called ill-posed problems and stability in statistics. Ill-posed problems are certain results where arbitrary small changes in the assumptions lead to unpredictable large changes in the conclusions. In a companion problem published by Nova, the authors explain that ill-posed problems are not a mere curiosity in the field of contemporary probability. The same situation holds in statistics. The objective of the authors of this book is to (1)identify statistical problems of this type, (2) find their stable variant, and (3)propose alternative versions of numerous theorems in mathematical statistics. The layout of the book is as follows. The authors begin by reviewing the central pre-limit theorem, providing a careful definition and characterisation of the limiting distributions. Then, they consider pre-limiting behaviour of extreme order statistics and the connection of this theory to survival analysis. A study of statistical applications of the pre-limit theorems follows.Based on these theorems, the authors develop a correct version of the theory of statistical estimation, and show its connection with the problem of the choice of an appropriate loss function. As It turns out, a loss function should not be chosen arbitrarily. As they explain, the availability of certain mathematical conveniences (including the correctness of the formulation of the problem estimation) leads to rigid restrictions on the choice of the loss function. The questions about the correctness of incorrectness of certain statistical problems may be resolved through appropriate choice of the loss function and/or metric on the space of random variables and their characteristics (including distribution functions, characteristic functions, and densities). Some auxiliary results from the theory of generalised functions are provided in an appendix. Considers the so-called ill-posed problems and stability in statistics. This book explains that ill-posed problems are not a mere curiosity in the field of contemporary probability. It aims to identify statistical problems of this type, find their stable variant, and propose alternative versions of numerous theorems in mathematical statistics. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781607417682
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Robust and Non-Robust Models in Statistics
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Book Description Condition: New. 2009. UK ed. Hardcover. Num Pages: 317 pages, tables & charts. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 265 x 186 x 26. Weight in Grams: 804. . . . . . Books ship from the US and Ireland. Seller Inventory # V9781607417682
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