To Be Published 2nd December 2011 by CRC Press 250 pages
Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Hardback: 978-1-4398353-3-3:
In the last twenty years, dynamic prediction models have been extensively used to monitor patient prognosis in survival analysis. Written by one of the pioneers in the area, this book synthesizes these developments in a unified framework. It covers a range of models, including prognostic and dynamic prediction of survival using genomic data and time-dependent information. The text includes numerous examples using real data that is taken from the authorsf collaborative research. R programs are provided for implementing the methods.
Prognostic Models for Survival Data Using (Clinical) Information Available at Baseline, Based on the Cox Model. Prognostic Models for Survival Data Using (Clinical) Information Available at Baseline, When the Proportional Hazards Assumption of the Cox Is Violated. Dynamic Prognostic Models for Survival Data Using Time-Dependent Information. Dynamic Prognostic Models for Survival Data Using Genomic Data.
To Be Published 25th June 2012 by Chapman & Hall ? 512 pages
Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Hardback: 978-1-4398382-0-4:
This book presents an overview of the theory and applications of sequential methods for hypothesis testing and changepoint detection in a wide range of engineering and environmental domains. It describes all the important theoretical developments with an emphasis on applications, including environmental surveillance, biomedical engineering, image processing, computer security, econometrics, and finance. The text covers more practical discrete-time models as well as very general cases that include both continuous- and discrete-time models. In addition, it presents the results for multi-hypothesis tests and detection-isolation procedures.
Motivations for the sequential approach
Background on probability and statistics
Sequential Hypothesis Testing
Sequential hypothesis testing - Two simple hypotheses
Sequential hypothesis testing - Multiple simple hypotheses
Sequential hypothesis testing - Composite hypotheses
Change-Point Detection
Statistical models with changes - Some problem statements
Sequential change-point detection - Bayesian approach
Sequential change-point detection - Non-Bayesian approaches
Multichart tests for simple and composite multiple hypotheses
Sequential change-point detection and isolation
Sequential change-point detection - Nuisance parameters
Extensions and Applications
Sequential detection in distributed sensor systems
Sequential analysis with estimating functions different from the likelihood
Other applications.
This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications. These contributions from active specialists in differential geometry provide significant information for research which cover geometric structures, concrete Lie group theory and information geometry. This volume is invaluable not only for researchers in this special area but also for those who are interested in interdisciplinary areas in differential geometry, complex analysis, probability theory and mathematical physics. It also serves as a good guide to graduate students in the field of differential geometry.
Homogeneous Einstein Metrics on Generalized Flag Manifolds (Y Sakane)
Complex Lagrangian Cones in Hn (N Ejiri & K Tsukada)
TYZ Expansions for Rotation Invariant Kaehler Manifold Forms (T Gramchev & A Loi)
Geometry for q-Exponential Families (H Matsuzoe & A Ohara)
Magnetic Jacobi Fields for Kaehler Magnetic Fields (T Adachi)
Almost Paracontact Manifolds with Semi-Riemannian Metric pf Signature (n + 1, n) (G Nakova)
On G2-Invariant Curves of Pure Imaginary Octonions (M Ohashi)
Sasakian Magnetic Fields on Homogeneous Real Hypersurfaces (T Bao)
Readership: Professionals, researchers and graduate students in differential geometry, complex analysis, probability theory and mathematical physics.
200pp (approx.) Pub. date: Aug 2011
ISBN: 978-981-4355-46-9
This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda's 60th birthday. It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as a guide to developing areas as well as a resource for researchers who seek a broader view and for students who are beginning to explore automorphic form.
Automorphic Form
Birch and Swinnerton?Dyer Conjecture
Borcherds Lift
Discrete Series
Fourier Coefficient
Fourier Transform
Hermite's Constant
Newton Polygon
Oda's Period Relation
Orbital Integral
p-Adic Group
p-Divisible Group
Real Symplectic Group
Siegel Modular Form
Siegel Modular Variety
Siegel Series
Spherical Function
Voronoi's Theorem
Whittaker Function
Readership: Professionals, researchers and graduate students in geometry and analysis of automorphic forms.
320pp (approx.) Pub. date: Sep 2011
ISBN: 978-981-4355-59-9
A large portion of the book can be used as a textbook for graduate and upper level undergraduate students in mathematics, communication engineering, computer science and other fields. The remaining part can be used as references for specialists. Explicit construction and computation of finite fields are emphasized. In particular, the construction of irreducible polynomials and normal basis of finite field is included. A detailed treatment of optimal normal basis and Galoi's rings is included. It is the first time that the galois rings are in book form.
Sets and Integers
Groups
Fields and Rings
Polynomials
Residue Class Rings
Structure of Finite Fields
Further Properties of Finite Fields
Bases
Factoring Polynomials over Finite Fields
Irreducible Polynomials over Finite Fields
Quadratic Forms over Finite Fields
More Group Theory and Ring Theory
Hensel's Lemma and Hensel Lift
Galois Rings
Readership: Upper level undergraduates, graduate students and lecturers in algebra.
400pp (approx.) Pub. date: Sep 2011
ISBN: 978-981-4366-34-2
981-4366-34-X
This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrodinger equations, nonlinear Klein?Gordon equations, KdV equations as well as Navier?Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy problem for those equations is systematically studied by using the harmonic analysis methods.
This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects and even ambitious undergraduate students.
Fourier Multiplier, Function Spaces
Navier?Stokes Equation
Strichartz Estimates for Linear Dispersive Equations
Local and Global Wellposedness for Nonlinear Dispersive Equations
The Low Regularity Theory for the Nonlinear Dispersive Equations
Frequency-Uniform Decomposition Method
Conservations, Morawetz' Inequalities of NLS
Boltzmann Equation without Angular Cutoff
Readership: Graduate students and researchers interested in analysis and PDE.
300pp (approx.) Pub. date: Aug 2011
ISBN: 978-981-4360-73-9
981-4360-73-2