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001 978-0-387-36062-1
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005 20161121231026.0
007 cr nn 008mamaa
008 100301s2006 xxu| s |||| 0|eng d
020 _a9780387360621
_9978-0-387-36062-1
024 7 _a10.1007/0-387-36062-X
_2doi
050 4 _aQA276-280
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.5
_223
245 1 0 _aDependence in Probability and Statistics
_h[electronic resource] /
_cedited by Patrice Bertail, Philippe Soulier, Paul Doukhan.
264 1 _aNew York, NY :
_bSpringer New York,
_c2006.
300 _aVIII, 490 p. 40 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Statistics,
_x0930-0325 ;
_v187
505 0 _aWeak dependence and related concepts -- Regeneration-based statistics for Harris recurrent Markov chains -- Subgeometric ergodicity of Markov chains -- Limit Theorems for Dependent U-statistics -- Recent results on weak dependence for causal sequences. Statistical applications to dynamical systems. -- Parametrized Kantorovich-Rubinštein theorem and application to the coupling of random variables -- Exponential inequalities and estimation of conditional probabilities -- Martingale approximation of non adapted stochastic processes with nonlinear growth of variance -- Strong dependence -- Almost periodically correlated processes with long memory -- Long memory random fields -- Long Memory in Nonlinear Processes -- A LARCH(?) Vector Valued Process -- On a Szegö type limit theorem and the asymptotic theory of random sums, integrals and quadratic forms -- Aggregation of Doubly Stochastic Interactive Gaussian Processes and Toeplitz forms of U-Statistics -- Statistical Estimation and Applications -- On Efficient Inference in GARCH Processes -- Almost sure rate of convergence of maximum likelihood estimators for multidimensional diffusions -- Convergence rates for density estimators of weakly dependent time series -- Variograms for spatial max-stable random fields -- A non-stationary paradigm for the dynamics of multivariate financial returns -- Multivariate Non-Linear Regression with Applications -- Nonparametric estimator of a quantile function for the probability of event with repeated data.
520 _aThis book gives a detailed account of some recent developments in the field of probability and statistics for dependent data. The book covers a wide range of topics from Markov chain theory and weak dependence with an emphasis on some recent developments on dynamical systems, to strong dependence in times series and random fields. A special section is devoted to statistical estimation problems and specific applications. The book is written as a succession of papers by some specialists of the field, alternating general surveys, mostly at a level accessible to graduate students in probability and statistics, and more general research papers mainly suitable to researchers in the field. The first part of the book considers some recent developments on weak dependent time series, including some new results for Markov chains as well as some developments on new notions of weak dependence. This part also intends to fill a gap between the probability and statistical literature and the dynamical system literature. The second part presents some new results on strong dependence with a special emphasis on non-linear processes and random fields currently encountered in applications. Finally, in the last part, some general estimation problems are investigated, ranging from rate of convergence of maximum likelihood estimators to efficient estimation in parametric or non-parametric time series models, with an emphasis on applications with non-stationary data. Patrice Bertail is researcher in statistics at CREST-ENSAE, Malakoff and Professor of Statistics at the University-Paris X. Paul Doukhan is researcher in statistics at CREST-ENSAE, Malakoff and Professor of Statistics at the University of Cergy-Pontoise. Philippe Soulier is Professor of Statistics at the University-Paris X.
650 0 _aStatistics.
650 0 _aProbabilities.
650 1 4 _aStatistics.
650 2 4 _aStatistical Theory and Methods.
650 2 4 _aProbability Theory and Stochastic Processes.
700 1 _aBertail, Patrice.
_eeditor.
700 1 _aSoulier, Philippe.
_eeditor.
700 1 _aDoukhan, Paul.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387317410
830 0 _aLecture Notes in Statistics,
_x0930-0325 ;
_v187
856 4 0 _uhttp://dx.doi.org/10.1007/0-387-36062-X
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c507483
_d507483