{"product_id":"constrained-statistical-inference-order-inequality-and-shape-constraints-331-wiley-series-in-probability-and-statistics-9780471208273","title":"Constrained Statistical Inference Order","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAn up-to-date approach to understanding statistical inference Statistical inference is finding useful applications in numerous fields, from sociology and econometrics to biostatistics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This monograph provides an excellent coverage of the last twenty years of constrained statistical inference.\" (\u003ci\u003eJournal of the American Statistical Association\u003c\/i\u003e, March 2006)  \u003cp\u003e\"…an invaluable resource for any researcher with interests in constrained problems…it is easy to conclude that any statistical library would be incomplete without it.\" (\u003ci\u003eBiometrics\u003c\/i\u003e, December 2005)\u003c\/p\u003e \u003cp\u003e\"…a valuable source of information for statisticians working in any area…\" (\u003ci\u003eMathematical Reviews\u003c\/i\u003e, 2005k)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eDedication.  \u003cp\u003ePreface.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Introduction.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Preamble.\u003c\/p\u003e \u003cp\u003e1.2 Examples.\u003c\/p\u003e \u003cp\u003e1.3 Coverage and Organization of the Book.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Comparison of Population Means and Isotonic Regression.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Ordered Hypothesis Involving Population Means.\u003c\/p\u003e \u003cp\u003e2.2 Test of Inequality Constraints.\u003c\/p\u003e \u003cp\u003e2.3 Isotonic Regression.\u003c\/p\u003e \u003cp\u003e2.4 Isotonic Regression: Results Related to Computational Formulas.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Two Inequality Constrained Tests on Normal Means.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction.\u003c\/p\u003e \u003cp\u003e3.2 Statement of Two General Testing Problems.\u003c\/p\u003e \u003cp\u003e3.3 Theory: The Basics in 2 Dimensions.\u003c\/p\u003e \u003cp\u003e3.4 Chi-bar-square Distribution.\u003c\/p\u003e \u003cp\u003e3.5 Computing the Tail Probabilities of chi-bar-square Distributions.\u003c\/p\u003e \u003cp\u003e3.6 Detailed Results relating to chi-bar-square Distributions.\u003c\/p\u003e \u003cp\u003e3.7 LRT for Type A Problems: V is known.\u003c\/p\u003e \u003cp\u003e3.8 LRT for Type B Problems: V is known.\u003c\/p\u003e \u003cp\u003e3.9 Inequality Constrained Tests in the Linear Model.\u003c\/p\u003e \u003cp\u003e3.10 Tests When V is known.\u003c\/p\u003e \u003cp\u003e3.11 Optimality Properties.\u003c\/p\u003e \u003cp\u003e3.12 Appendix 1: Convex Cones.\u003c\/p\u003e \u003cp\u003e3.13 Appendix B. Proofs.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Tests in General Parametric Models.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction.\u003c\/p\u003e \u003cp\u003e2.2 Preliminaries.\u003c\/p\u003e \u003cp\u003e4.3 Tests of Rθ = 0 against Rθ ≥ 0.\u003c\/p\u003e \u003cp\u003e4.4 Tests of h(θ) = 0.\u003c\/p\u003e \u003cp\u003e4.5 An Overview of Score Tests with no Inequality Constraints.\u003c\/p\u003e \u003cp\u003e4.6 Local Score-type Tests of H\u003csub\u003eo\u003c\/sub\u003e : ψ = 0 vs H\u003csub\u003e1\u003c\/sub\u003e : ψ \u0026amp;epsis; Ψ.\u003c\/p\u003e \u003cp\u003e4.7 Approximating Cones and Tangent Cones.\u003c\/p\u003e \u003cp\u003e4.8 General Testing Problems.\u003c\/p\u003e \u003cp\u003e4.9 Properties of the mle When the True Value is on the Boundary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Likelihood and Alternatives.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction.\u003c\/p\u003e \u003cp\u003e5.2 The Union-Intersection principle.\u003c\/p\u003e \u003cp\u003e5.3 Intersection Union Tests (IUT).\u003c\/p\u003e \u003cp\u003e5.4 Nanparametrics.\u003c\/p\u003e \u003cp\u003e5.5 Restricted Alternatives and Simes-type Procedures.\u003c\/p\u003e \u003cp\u003e5.6 Concluding Remarks.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Analysis of Categorical Data.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Motivating Examples.\u003c\/p\u003e \u003cp\u003e6.2 Independent Binomial Samples.\u003c\/p\u003e \u003cp\u003e6.3 Odds Ratios and Monotone Dependence.\u003c\/p\u003e \u003cp\u003e6.4 Analysis of 2 x c Contingency Tables.\u003c\/p\u003e \u003cp\u003e6.5 Test to Establish that Treatment is Better than Control.\u003c\/p\u003e \u003cp\u003e6.6 Analysis of r x c Tables.\u003c\/p\u003e \u003cp\u003e6.7 Square Tables and Marginal Homogeneity.\u003c\/p\u003e \u003cp\u003e6.8 Exact Conditional Tests.\u003c\/p\u003e \u003cp\u003e6.9 Discussion.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Beyond Parametrics.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction.\u003c\/p\u003e \u003cp\u003e7.2 Inference on Monotone Density Function.\u003c\/p\u003e \u003cp\u003e7.3 Inference on Unimodal Density Function.\u003c\/p\u003e \u003cp\u003e7.4 Inference on Shape Constrained Hazard Functionals.\u003c\/p\u003e \u003cp\u003e7.5 Inference on DMRL Functions.\u003c\/p\u003e \u003cp\u003e7.6 Isotonic Nonparametric Regression: Estimation.\u003c\/p\u003e \u003cp\u003e7.7 Shape Constraints: Hypothesis Testing.\u003c\/p\u003e \u003cp\u003e8. Bayesian Perspectives.\u003c\/p\u003e \u003cp\u003e8.1 Introduction.\u003c\/p\u003e \u003cp\u003e8.2 Statistical Decision Theory Motivations.\u003c\/p\u003e \u003cp\u003e8.3 Stein’s Paradox and Shrinkage Estimation.\u003c\/p\u003e \u003cp\u003e8.4 Constrained Shrinkage Estimation.\u003c\/p\u003e \u003cp\u003e8.5 PC and Shrinkage Estimation in CSI.\u003c\/p\u003e \u003cp\u003e8.6 Bayes Tests in CSI.\u003c\/p\u003e \u003cp\u003e8.7 Some Decision Theoretic Aspects: Hypothesis Testing.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. Miscellaneous Topics.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Two-sample Problem with Multivariate Responses.\u003c\/p\u003e \u003cp\u003e9.2 Testing that an Identified Treatment is the Best: The mini-test.\u003c\/p\u003e \u003cp\u003e9.3 Cross-over Interaction.\u003c\/p\u003e \u003cp\u003e9.4 Directed Tests.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBibliography.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex.\u003c\/b\u003e\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402527154519,"sku":"9780471208273","price":132.26,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471208273.jpg?v=1730480672","url":"https:\/\/bookcurl.com\/products\/constrained-statistical-inference-order-inequality-and-shape-constraints-331-wiley-series-in-probability-and-statistics-9780471208273","provider":"Book Curl","version":"1.0","type":"link"}