01199nam a2200289 a 4500991003195169707536080118s2007 sz a b 000 0 eng d9783039112760 b13646850-39ule_instDip.to Lingueita306.44Discourse and Contemporary Social Change /Norman Fairclough, Giuseppina Cortese & Patrizia Ardizzone (eds)Bern ;New York :Peter Lang,c2007555 p. :ill. ;23 cmLinguistic insights ;v. 54Contiene riferimenti bibliograficiSociolinguisticaAnalisi del discorsoFairclough, Normanauthorhttp://id.loc.gov/vocabulary/relators/aut254264Cortese, Giuseppinaauthorhttp://id.loc.gov/vocabulary/relators/aut132545Ardizzone, Patrizia.b1364685028-01-1418-01-08991003195169707536LE012 306.44 FAI 312012000257900le012-E0.00-l- 09090.i1465244418-01-08Discourse and Contemporary Social Change1463861UNISALENTOle01218-01-08ma -engsz 0004825nam 2200709 a 450 991101892690332120200520144314.09786613279996978128327999412832799919781118165522111816552797811181655391118165535(CKB)2550000000052931(EBL)818926(OCoLC)760002070(SSID)ssj0000537543(PQKBManifestationID)11344970(PQKBTitleCode)TC0000537543(PQKBWorkID)10554312(PQKB)11078950(MiAaPQ)EBC818926(Perlego)2769262(EXLCZ)99255000000005293119930427d1994 uy 0engur|n|---|||||txtccrHilbert space methods in probability and statistical inference /Christopher G. Small, D.L. McLeishNew York Wileyc19941 online resource (268 p.)Wiley series in probability and mathematical statistics. Probability and mathematical statistics"A Wiley-Interscience publication."9780471592815 0471592811 Includes bibliographical references (p. 235-244) and index.Hilbert Space Methods in Probability and Statistical Inference; Contents; Preface; 1. Introduction; 1.1 Objectives of the Book; 1.2 The Role of Projection; 1.3 Overview of the Book; 2. Hilbert Spaces; 2.1 Vector Spaces; 2.2 Hilbert Spaces; 2.3 The Hilbert Space L2; 2.4 Projection and the Riesz Representation; 2.5 Tensor Products; 2.6 Notes; Problems; 3. Probability Theory; 3.1 Probability Hilbert Spaces; 3.2 Probability Subspaces and Independence; 3.3 Conditional Expectation; 3.4 Sample Spaces; 3.5 Notes; Problems; 4. Estimating Functions4.1 Unbiased Estimators and Linear Estimating Functions4.2 Spaces of Estimating Functions; 4.3 Local Subspaces; 4.4 Projection and E-Rao-Blackwellization; 4.5 Roots of Estimating Functions; 4.6 Subspaces and Relative E-Sufficiency; 4.7 The Standard Product Model; 4.8 Correcting for Curvature; 4.9 Exponential Families and Quasiexponential Families; 4.10 Notes; Problems; 5. Orthogonality and Nuisance Parameters; 5.1 Introduction; 5.2 Parameter Orthogonality; 5.3 Reducing Sensitivity Using Projection; 5.4 Location and Scale Models; 5.5 Partial Ancillarity and Partial Sufficiency; 5.6 NotesProblems6. Martingale Estimating Functions and Projected Likelihood; 6.1 Introduction; 6.2 Discrete Time Martingales and Products; 6.3 Martingale Estimating Functions; 6.4 Quasilikelihood and Projected Likelihood; 6.5 Comparing Quasilikelihood, Product Likelihood, and Empirical Likelihood; 6.6 The Projected Likelihood in the General Case; 6.7 An Application to Stable Laws; 6.8 Notes; Problems; 7. Stochastic Integration and Product Integrals; 7.1 Continuous Time Martingales; 7.2 Predictable Processes; 7.3 Introduction to Stochastic Integrals; 7.4 The Stochastic Integral and the Linear Isometry7.5 The Doob-Meyer Decomposition and the Predictable Variation Process7.6 Semimartingales; 7.7 Product Integrals; 7.8 Notes; Problems; 8. Estimating Functions and the Product Integral Likelihood for Continuous Time Stochastic Processes; 8.1 Introduction; 8.2 Continuous Time Martingale Estimating Functions; 8.3 A Product Integral Form for the Likelihood; 8.4 The Projected Likelihood in the General Case; 8.5 Reproducing Kernel Hubert Spaces; 8.6 Linear Estimating Functions; 8.7 Notes; Problems; 9. Hilbert Spaces and Spline Density Estimation; 9.1 Histograms and Histofunctions; 9.2 Histosplines9.3 Some Variational Issues9.4 Bandwidth Selection; 9.5 Applications to Stock Market Data; 9.6 Notes; Problems; Bibliography; IndexExplains how Hilbert space techniques cross the boundaries into the foundations of probability and statistics. Focuses on the theory of martingales stochastic integration, interpolation and density estimation. Includes a copious amount of problems and examples.Wiley series in probability and mathematical statistics.Probability and mathematical statistics.ProbabilitiesMathematical statisticsHilbert spaceProbabilities.Mathematical statistics.Hilbert space.519.2Small Christopher G11893McLeish D. L11892MiAaPQMiAaPQMiAaPQBOOK9911018926903321Hilbert space methods in probability and statistical inference415685UNINA