Series: Statistics: A Series of Textbooks and Monographs
ISBN: 9781584886556
ISBN 10: 1584886552
Publication Date: 10/15/2007
Number of Pages: 400
Provides extensive coverage of biological, statistical, and
bioinformatics concepts
Presents MCMC, likelihood, and Bayesian methods
Addresses new concepts and theories for the identification of
expressed genes
Discusses procedures to implement R codes for bioinformatics
Details online tools such as BLAST and FASTA for genomic data
analysis
Fundamentals of Statistical Bioinformatics provides an
understanding of biological mechanisms and presents the most
current techniques to analyze data obtained through different
technologies. This book offers the foundations of mathematics,
statistics, biology, and computer science needed to understand
the methods presented in the text. Developing concepts from the
introductory to the advanced level, the text provides detailed
coverage of modern analytical techniques such as Markov chain
Monte Carlo (MCMC) and Bayesian methods. It also addresses useful
Web-based tools like CDART and provides a working knowledge of
the R language and the codes available for analyzing sequences
Table of Contents
Genes. Microarrays. Probability and Statistical Theory.
Distributions, Properties, and Applications. Statistical
Inference and Applications. Nonparametric Statistics. Bayesian
Statistics. MCMC Method. Survival Analysis. Sampling Theory and
Applications. Design of Experiments. Screening Designs. Taguchi
Designs. Online Tools: BLAST, FASTA, ENTREZ, MAPVIEWER, BAMARRAY,
SAM, ORIGEN, and Applications. Language: R. Techniques for the
Identification of Expressed Genes.
ISBN: 9781584885450
ISBN 10: 1584885459
Publication Date: 10/15/2007
Number of Pages: 480
Introduces computational statistics
Provides a tutorial on R programming techniques
Presents illustrative examples of programming concepts
Includes problems, exercises, and a solutions manual for
qualifying instructors
Focusing on implementation rather than theory, Statistical
Computing with R serves as a valuable tutorial, providing
examples that illustrate programming concepts in the context of
practical computational problems. This book presents an overview
of computational statistics with an introduction to the R
computing environment. Reviewing basic concepts in probability
and classical statistical inference, the text demonstrates every
algorithm through fully implemented examples coded in R. Chapters
cover topics such as Monte Carlo methods, clustering, bootstrap,
nonparametric regression, density estimation, and goodness-of-fit.
Many exercises are included for the students while a solutions
manual is included for the instructor.
Table of Contents
Introduction. Probability and Classical Inference. Simulating
Random Variables. Monte Carlo Methods. Bootstrap and Jackknife.
Goodness-of-Fit. Visualization of Multivariate Data. Markov Chain
Monte Carlo Methods. Probability Density Estimation.
Nonparametric Regression. Clustering and Classification.
The modern theory of singularities provides a unifying theme
that runs through fields of mathematics as diverse as homological
algebra and Hamiltonian systems. It is also an important point of
reference in the development of a large part of contemporary
algebra, geometry and analysis. Presented by internationally
recognized experts, the collection of articles in this volume
yields a significant cross-section of these developments.
The wide range of surveys includes an authoritative treatment of
the deformation theory of isolated complex singularities by prize-winning
researcher K Miyajima. Graduate students and even ambitious
undergraduates in mathematics will find many research ideas in
this volume and non-experts in mathematics can have an overview
of some classic and fundamental results in singularity theory.
The explanations are detailed enough to capture the interest of
the curious reader, and complete enough to provide the necessary
background material needed to go further into the subject and
explore the research literature.
Contents:
Hermitian Pairings and Isolated Singularities (J Hillman)
Zariski痴 Moduli Problem for Plane Branches and the
Classification of Legendre Curve Singularities (G Ishikawa)
Introduction to Algebraic Theory of Multivariate Interpolation (S
Izumi)
Singularity Theory of Smooth Mappings and Its Applications: A
Survey for Non-Specialists (S Izumiya)
Birational Geometry and Homological Mirror Symmetry (L Katzarkov)
General Self-Similarity: An Overview (T Leinster)
Generalized Pl・ker傍eissier訪leiman Formulas for Varieties
with Arbitrary Dual Defect (Y Matsui & K Takeuchi)
Derived Picard Groups and Automorphism Groups of Derived
Categories (J Miyachi)
Analytic Approach to Deformation of Normal Isolated Singularities
(K Miyajima)
An Infinite Version of Homological Mirror Symmetry (A Neeman)
and other papers
Readership: Mathematicians in singularity theory or in adjacent
areas; advanced undergraduates and graduate students in
mathematics; non-experts interested in singularity theory and its
applications.
476pp Pub. date: Jan 2007
ISBN 978-981-270-551-8
981-270-551-1
Nonlinear dynamics of complex processes is an active research
field with large numbers of publications in basic research, and
broad applications from diverse fields of science. Nonlinear
dynamics as manifested by deterministic and stochastic evolution
models of complex behavior has entered statistical physics,
physical chemistry, biophysics, geophysics, astrophysics,
theoretical ecology, semiconductor physics and -optics, etc. This
field of research has induced a new terminology in science
connected with new questions, problems, solutions and methods.
New scenarios have emerged for spatio-temporal structures in
dynamical systems far from equilibrium. Their analysis and
possible control are intriguing and challenging aspects of the
current research.
The duality of fundamental and applied research is a focal point
of its main attractivity and fascination. Basic topics and
foundations are always linked to concrete and precise examples.
Models and measurements of complex nonlinear processes evoke and
provoke new fundamental questions that diversify and broaden the
mathematical concepts and tools. In return, new mathematical
approaches to modeling and analysis enlarge the scope and
efficiency of applied research.
Contents:
Noise-Induced Effects in Excitable Systems with Local and Global
Coupling (X R Sailer et al.)
Spiral Wave Dynamics: Reaction and Diffusion versus Kinematics (B
Fiedler et al.)
Pattern Formation in Semiconductors Under the Influence of Time-Delayed
Feedback Control and Noise (E Schl et al.)
Trapping of Phase Fronts and Twisted Spirals in Periodically
Forced Oscillatory Media (O Rudzick & A S Mikhailov)
Unified Approach to Feedback-Mediated Control of Spiral Waves in
Excitable Media (V S Zykov & H Engel)
Building Oscillations Bottom Up: Elemental Time Scales of
intracellular Calcium Dynamics (R Thul & M Falcke)
Synchronization of Complex Systems: Analysis and Control (M
Rosenblum & A Pikovsky)
Predator-Prey Oscillations, Synchronization and Pattern Formation
in Ecological Systems (B Blasius & R Tjes)
and other papers
Readership: Graduate students of physics, chemistry, biology and
applied mathematics; researchers in complex systems, nonlinear
and stochastic processes.
452pp Pub. date: Jan 2007
ISBN 978-981-270-583-9
981-270-583-X
This invaluable volume collects papers written by many of the
world's top experts on L-functions. It not only covers a wide
range of topics from algebraic and analytic number theories,
automorphic forms, to geometry and mathematical physics, but also
treats the theory as a whole.
The contributions reflect the latest, most advanced and most
important aspects of L-functions. In particular, it contains
Hida's lecture notes at the conference and at the Eigenvariety
semester in Harvard University and Weng's detailed account of his
works on high rank zeta functions and non-abelian L-functions.
Contents:
Quantum Maass Forms (R Bruggeman)
{cal L}-invariant of p-Adic L-Functions (H Hida)
Siegel Modular Forms of Weight Three and Conjectural
Correspondence of Shimura Type and Langlands Type (T Ibukiyama)
Convolutions of Fourier Coefficients of Cusp Forms and the Circle
Method (M Jutila)
On an Extension of the Derivation Relation for Multiple Zeta
Values (M Kaneko)
On Symmetric Powers of Cusp Forms on GL2 (H H Kim)
Zeta Functions of Root Systems (Y Komori et al.)
Sums of Kloosterman Sums Revisted (Y Motohashi)
The Lindel Class of L-Functions (K Murty)
A Proof of the Riemann Hypothesis for the Weng Zeta Function of
Rank 3 for the Rationals (M Suzuki)
Elliptic Curves Arising from the Spectral Zeta Function for Non-Commutative
Harmonic Oscillators and Gamma_0(4)-Modular Forms (K Kimoto &
M Wakayama)
A Geometric Approach to L-Functions (L Weng)
Readership: Graduate students, lecturers, and active researchers
in various branches of mathematics, such as algebra, analysis,
geometry and mathematical physics.
380pp (approx.) Pub. date: Jan 2007
ISBN 978-981-270-504-4
981-270-504-X
The mutual influence between mathematics and science and
technology is becoming more and more widespread with profound
connections among them being discovered. In particular, important
connections between harmonic analysis, wavelet analysis and p-adic
analysis have been found recently.
This volume reports these findings and guides the reader towards
the latest areas for further research. It is divided into two
parts: harmonic, wavelet and p-adic analysis and p-adic and
stochastic analysis.
Contents:
Wavelets and Harmonic Analysis: Wavelets and Other Tools:
Wavelets and Expectations: A Different Path to Wavelets (K E
Gustafson)
Multiwavelets. Some Approximations. Theoretic Properties. Samping
on the Interval and Translational Invariance (P Massopust)
Harmonic Analysis:
On Multiple Solutions for the Elliptic Boundary Value Problem
with Two Critical Exponents (Yu V Egorov & Y Ilyasov)
Some Singular Perturbation Problems Related to the Navier亡tokes
Equations (M Hamouda & R Temam)
p-Adic and Stochastic Analysis: Over p-Adic Fields:
p-Adic and Group-Valued Probabilities (A Khrennikov)
Archimedean Stochastic Analysis:
Infinite-Dimensional Harmonic Analysis from the Viewpoint of
White Noise Theory (T Hida)
Stochastic Integral Equations of Fredholm Type (S Ogawa)
and other papers
Readership: Researchers in analysis and differential equations,
mathematical physics, and probability and statistics.
350pp (approx.) Pub. date: Scheduled Summer 2007
ISBN 978-981-270-549-5
981-270-549-X
ISBN 978-4-946552-27-4
Hardcover pp. 704
Tomoko Adachi
Optimal ordering for the complete tripartite graph K9,9,9
Shigeo Akashi
Application of nonlinear approximation method to Simpson's
numerical integral formula
Qamrul Hasan Ansari
Generalized implicit quasi-equilibrium problems and generalized
weighted quasi-variational inequalities
Koji Aoyama, Kazutaka Eshita, and Wataru Takahashi
Iteration processes for nonexpansive mappings in convex metric
spaces
Yousuke Araya and Tamaki Tanaka
On generalizing Caristi's fixed point theorem
Sachiko Atsushiba
Strong convergence theorems for a countable family of
nonexpansive mappings in general Banach spaces
Masayo Fujimura and Kiyoko Nishizawa
The real multiplier-coordinate space of the quartic polynomials
Hafiz Fukhar-ud-din and Wataru Takahashi
Common fixed point iterations with errors for two nonexpansive
mappings
Emiko Fukuda and Shigeo Muto
Cooperative game models with partial cooperation: As games with
res tricted coalitions
Kiyoko Furuya
Feynman path integral of Lebesgue type
Pando Gr. Georgiev
Second-order Clarke subdifferential of C1,1 functions
Kazimierz Goebel
An elementary example of the retraction of a ball onto sphere
Takashi Hasuike and Hiroaki Ishii
Portfolio selection problem with two possibilities of the
expected return
Mitsuhiro Hoshino and Yutaka Kimura
Stationary model function in self-organizing maps with real-valued
nodes
Takanori Ibaraki and Wataru Takahashi
Mosco convergence of sequences of retracts of four nonlinear
projections in Banach spaces
Shigeru Iemoto and Wataru Takahashi
Strong and weak convergence theorems for resolvents of maximal
monotone operators in Hilbert spaces
Hideaki Iiduka and Wataru Takahashi
Relations between equations of set-valued operators and
equilibrium problems
M. Inuiguchi, S. Greco, and R. Slowinski
Toward monotonicity analysis between two vague concepts based on
fuzzy rough sets
Alexander D. Ioffe and Yoshiyuki Sekiguchi
Exact formulae for regularity estimates
Seiichi Iwamoto
The golden optimum solution in quadratic programming
Hidefumi Kawasaki
A duality theorem based on triangles separating three convex sets
Abdul Rahim Khan
Random coincidence points of multivalued contractive random
operators
Misako Kikkawa and Wataru Takahashi
Strong convergence theorems by the viscosity approximation method
for nonexpansive mappings in Banach spaces
Kenji Kimura and Tamaki Tanaka
Existence results of cone saddle-points for vector-valued
functions
Yasunori Kimura
Approximating zeros of a monotone operator with iterative
algorithms
Fumiaki Kohsaka and Wataru Takahashi
Weak and strong convergence to common points of families of
convex sets in Banach spaces
Masamichi Kon
Fuzzy maximin location problems with rectilinear norm
Poom Kumam and Somyot Plubtieng
Some Random fixed point theorems for set-valued nonexpansive non-self
operators
Daishi Kuroiwa and Tetsuya Nuriya
A generalized embedding vector space optimization
Moussa Larbani and Rabia Nessah
On a generalization of the Ky Fan's inequality and its
application to game theory
Anthony To-Ming Lau and Wataru Takahashi
Nonlinear ergodic theorems for amenable semigroups
Yen-Cherng Lin
Predictor-corrector iterative algorithms for solving GMELP and
EGMELP
Yukihiro Maruyama
Positively bitone sequential decision process
Shin-ya Matsushita and Wataru Takahashi
A proximal-type algorithm by the hybrid method for maximal
monotone operators in a Banach space
Kenichi Mitani and Kichi-Suke Saito
φ-direct sums of Banach spaces and their applications
Atsushi Moritani, Kojiro Kuroki, Tetsuzo Tanino, and Keiji
Tatsumi
Fuzzy extensions of cooperative games with restrictions on
coalitions
Yoshiaki Muroya and Emiko Ishiwata
Global attractivity for discrete Clark model xn+1=q xn+(1-q )g(xn-k
)
Natalia Nadezhkina, Kazuhide Nakajo, and Wataru Takahashi
Applications of extragradient method for solving the combined
variational inequality --fixed point problem in real Hilbert
spaces
Hidetoshi Nagai and Takahito Kuno
A conical branch-and-bound algorithm for a class of reverse
convex programs
Koichiro Naito
Recurrent dimensions of quasi-periodic attractors for second
order evolution equations
Kazuhide Nakajo, Kazuya Shimoji, and Wataru Takahashi
Weak convergence theorems by products of mappings in Banach
spaces
Tohru Nakamura and Shinya Nishibata
Asymptotic behavior of spherically symmetric flow for viscous
heat-conductive gas
Yoshihisa Nakamura
Remarks on the scattering theory for nonlinear Schrodinger
equations with Stark potential
--alternative proof on the non-existence of the wave operator--
Yasushi Narushima and Hiroshi Yabe
The memory gradient methods for unconstrained optimization
Toshihiko Nishishiraho
Approximation by equi-uniform summation processes of integral
operators in Banach spaces
Tetsuya Nuriya and Daishi Kuroiwa
A topology on the embedding space in set optimization without
compactness
Jong Yeoul Park
Optimal control problem for non-well-posed semilinear hyperbolic
differential equations
Sehie Park
Remarks on recent results in analytical fixed point theory
Liqun Qi and Jiwei Zhang
A lexicographic classification of plane algebraic curves
Biagio Ricceri
Some applications of a saddle point theorem involving
connectedness
Seiji Saito, Yusuke Fujihara, Kengo Maruyama, Yusuke Ogura, and
Jun Tanida
An algorithm for discrete quadratic programming via analysis of
adjacency matrices and molecular computing
Akira Shimizu, Shogo Nishizawa, and Tamaki Tanaka
Optimality conditions in set-valued optimization using nonlinear
scalarization methods
Tomoo Shimizu
A convergence theorem to common fixed points of families of
nonexpansive mappings in convex metric spaces
Takahiro Sudo
Continuous field C*-algebras and their K-theory
Tomonari Suzuki
Browder's type convergence theorems for one-parameter semigroups
of nonexpansive mappings in Hilbert spaces
Akinori Tada and Wataru Takahashi
Strong convergence theorem for an equilibrium problem and a
nonexpansive mapping
Tetsuzo Tanino
Cooperative games restricted by graded feasible coalition systems
K. Tatsumi, Y. Obita, and T. Tanino
Chaotic multi-start method using the affine scaling method for
the quadratic assignment problem
M. Tsukada, H. Suyari, and M. Kato
The maximum entropy principle as a convex programming problem and
related inequalities
M. Tsurumi, M. Inuiguchi, and A. Nishimura
Normalized pseudo-Banzhaf values for bicooperative games
Rabian Wangkeeree
Noor iterations with error for non-Lipschitzian mappings in
Banach spaces
Takeshi Yoshimoto
Remarks on nonlinear ergodic theory in Lp