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Titlebook: Specifying Statistical Models; From Parametric to N J. P. Florens,M. Mouchart,A. F. M. Smith Conference proceedings 1983 Springer Science+B

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书目名称Specifying Statistical Models
副标题From Parametric to N
编辑J. P. Florens,M. Mouchart,A. F. M. Smith
视频video
丛书名称Lecture Notes in Statistics
图书封面Titlebook: Specifying Statistical Models; From Parametric to N J. P. Florens,M. Mouchart,A. F. M. Smith Conference proceedings 1983 Springer Science+B
描述During the last decades. the evolution of theoretical statistics has been marked by a considerable expansion of the number of mathematically and computationaly trac­ table models. Faced with this inflation. applied statisticians feel more and more un­ comfortable: they are often hesitant about their traditional (typically parametric) assumptions. such as normal and i. i. d . • ARMA forms for time-series. etc . • but are at the same time afraid of venturing into the jungle of less familiar models. The prob­ lem of the justification for taking up one model rather than another one is thus a crucial one. and can take different forms. (a) ~~~£ifi~~~iQ~ : Do observations suggest the use of a different model from the one initially proposed (e. g. one which takes account of outliers). or do they render plau­ sible a choice from among different proposed models (e. g. fixing or not the value of a certai n parameter) ? (b) tlQ~~L~~l!rQ1!iIMHQ~ : How is it possible to compute a "distance" between a given model and a less (or more) sophisticated one. and what is the technical meaning of such a "distance" ? (c) BQe~~~~~~ : To what extent do the qualities of a procedure. well adapted to a "small"
出版日期Conference proceedings 1983
关键词Bayessches Verfahren; Statistik; bayesian statistics; best fit; principal component analysis
版次1
doihttps://doi.org/10.1007/978-1-4612-5503-1
isbn_softcover978-0-387-90809-0
isbn_ebook978-1-4612-5503-1Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer Science+Business Media New York 1983
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978-0-387-90809-0Springer Science+Business Media New York 1983
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Specifying Statistical Models978-1-4612-5503-1Series ISSN 0930-0325 Series E-ISSN 2197-7186
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Non Parametric Prediction in Stationary Processes,We present a class of non parametric predictions and study their asymptotic properties. The general framework of the study allows us to predict the distribution of the nonobserved variable. We give also the results of some simulations carried out in an elementary case.
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Bayesian Approaches to Outliers and Robustness,oration of standard models to incorporate the possibility of non-standard distributional shapes or of individual aberrant observations (outliers). Influence functions are then considered from a Bayesian point of view and an approach to robust time series analysis is outlined.
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,“On the Use of Some Variation Distance Inequalities to Estimate the Difference between Sample and Pthe distribution of each X. is slightly perturbed), it is suggested to estimate the variation and Hellinger distances between the two possible distributions of (X., X.,…, X.). The result is derived from some useful inequalities about variation and Hellinger distances on product spaces.
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Robust Testing for Independent Non Identically Distributed Variables and Markov Chains,ness result for those tests. The natural extension to non i.i.d. random variables is to define a distance H between product measures by: . and to test between two balls with this new metric. Reasonable tests are given in this case. We finally present an extension to robust testing for Markov chains and some applications to robust estimation.
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