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Statistical Problems with Nuisance Parameters
Introduction The multiple Laplace transformation, functions of several complex variables, and analytic sheaves Sufficient statistics and exponential families Nuisance parameters. Tests with invariant power functions Similar tests and statistics Cotest ideals for exponential families Wijsman's $D$-method Unbiased estimates Analytical methods of studying unrandomized tests. Application to the Behrens-Fisher problem Randomized homogeneous tests in the Behrens-Fisher problem. Characterization of tests of the Bartlett-Scheffe type An unrandomized homogeneous similar test in the Behrens-Fisher problem The problem of many small samples Appendix Supplement. New results in the theory of estimation and testing hypotheses for problems with nuisance parameters Bibliography
National Union Catalog
Includes entries for maps and atlases.
新收洋書総合目錄
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Tungsten Carbides
This book embraces the entire range of problems associated with phase equilibria in “tungsten – carbon” binary system and related ternary systems, nonstoichiometry, disorder and order in different tungsten carbides, electronic and crystal structure of these carbides. The main application of tungsten carbides is constituent in hardmetals for cutting tools. In the last 20 years, the most active efforts were made in synthesis and application of nanocrystalline tungsten carbide for the production of nanostructured hardmetals. The present book describes in detail different methods for production of nanocrystalline tungsten carbide. The peculiarities of sintering of Co hardmetals from nanocrystalline powders having different particle sizes are discussed. Materials scientists using tungsten carbide to create novel superhard and tough materials will find this book particularly useful.
Subject Catalog
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An Introduction to Symplectic Geometry
Symplectic geometry is a central topic of current research in mathematics. Indeed, symplectic methods are key ingredients in the study of dynamical systems, differential equations, algebraic geometry, topology, mathematical physics and representations of Lie groups. This book is a true introduction to symplectic geometry, assuming only a general background in analysis and familiarity with linear algebra. It starts with the basics of the geometry of symplectic vector spaces. Then, symplectic manifolds are defined and explored. In addition to the essential classic results, such as Darboux's theorem, more recent results and ideas are also included here, such as symplectic capacity and pseudohol...
Elliptic Partial Differential Equations
This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for obtaining various a priori estimates for second-order equations of elliptic type with particular emphasis on maximal principles, Harnack inequalities, and their applications. The equations considered in the book are linear; however, the presented methods also apply to nonlinear problems.
