Directional Statistics for Innovative Applications
Directional Statistics for Innovative Applications

Author: Ashis SenGupta

Publisher: Springer Nature

Published: 2022-06-15

Total Pages: 487

ISBN-13: 9811910448

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In commemoration of the bicentennial of the birth of the “lady who gave the rose diagram to us”, this special contributed book pays a statistical tribute to Florence Nightingale. This book presents recent phenomenal developments, both in rigorous theory as well as in emerging methods, for applications in directional statistics, in 25 chapters with contributions from 65 renowned researchers from 25 countries. With the advent of modern techniques in statistical paradigms and statistical machine learning, directional statistics has become an indispensable tool. Ranging from data on circles to that on the spheres, tori and cylinders, this book includes solutions to problems on exploratory data analysis, probability distributions on manifolds, maximum entropy, directional regression analysis, spatio-directional time series, optimal inference, simulation, statistical machine learning with big data, and more, with their innovative applications to emerging real-life problems in astro-statistics, bioinformatics, crystallography, optimal transport, statistical process control, and so on.

Stationary Stochastic Models: An Introduction
Stationary Stochastic Models: An Introduction

Author: Riccardo Gatto

Publisher: World Scientific

Published: 2022-06-23

Total Pages: 415

ISBN-13: 9811251851

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This volume provides a unified mathematical introduction to stationary time series models and to continuous time stationary stochastic processes. The analysis of these stationary models is carried out in time domain and in frequency domain. It begins with a practical discussion on stationarity, by which practical methods for obtaining stationary data are described. The presented topics are illustrated by numerous examples. Readers will find the following covered in a comprehensive manner:At the end, some selected topics such as stationary random fields, simulation of Gaussian stationary processes, time series for planar directions, large deviations approximations and results of information theory are presented. A detailed appendix containing complementary materials will assist the reader with many technical aspects of the book.

Research Papers in Statistical Inference for Time Series and Related Models
Research Papers in Statistical Inference for Time Series and Related Models

Author: Yan Liu

Publisher: Springer Nature

Published: 2023-05-31

Total Pages: 591

ISBN-13: 9819908035

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This book compiles theoretical developments on statistical inference for time series and related models in honor of Masanobu Taniguchi's 70th birthday. It covers models such as long-range dependence models, nonlinear conditionally heteroscedastic time series, locally stationary processes, integer-valued time series, Lévy Processes, complex-valued time series, categorical time series, exclusive topic models, and copula models. Many cutting-edge methods such as empirical likelihood methods, quantile regression, portmanteau tests, rank-based inference, change-point detection, testing for the goodness-of-fit, higher-order asymptotic expansion, minimum contrast estimation, optimal transportation, and topological methods are proposed, considered, or applied to complex data based on the statistical inference for stochastic processes. The performances of these methods are illustrated by a variety of data analyses. This collection of original papers provides the reader with comprehensive and state-of-the-art theoretical works on time series and related models. It contains deep and profound treatments of the asymptotic theory of statistical inference. In addition, many specialized methodologies based on the asymptotic theory are presented in a simple way for a wide variety of statistical models. This Festschrift finds its core audiences in statistics, signal processing, and econometrics.

Innovative LibGuides Applications
Innovative LibGuides Applications

Author: Ryan L. Sittler

Publisher: Rowman & Littlefield

Published: 2016-10-07

Total Pages: 219

ISBN-13: 1442270551

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Innovative LibGuides Applications: Real World Examples shows both new and experienced users methods to utilize the platform in ways that they may not have previously considered. This includes topics such as website and learning management system integration, digital collections, data-drive decision-making, information literacy instruction, library administration, and a system-wide case study. Each chapter features ideas that you can implement immediately, or over time, as is appropriate to your own needs. Further, they are adaptable—tweak as you see fit! Divided into sections, this book examines different uses and approaches to LibGuides: · Website and learning management system (LMS) integration: examine how LibGuides can be used as, or closely integrated with, the library website and/or your institutions’ LMS. Various examples are provided that you may be able to adapt at your own organization. Not every solution worked as anticipated—our authors address this, as well. · Digital collections: Two alternate approaches are presented. One looks at exhibitions and their application as outreach tools. The other looks at creating a digital museum within LibGuides. These are “can’t miss” chapters for those that wish to more deeply explore digital collections and LibGuides viability. · Data-drive decision-making: Learn how some institutions are mining and utilizing data collected within LibApps/LibGuides. In both cases, the data examined helped institutions to improve library services while articulating a clear purpose (and use) for each data point. · Information literacy: Explore two different methods for revamping your instruction program through utilization of the platform. · Library administration: Discover how internal and external processes may be augmented through the use of LibApps/LibGuides. · System-wide case study: See how a community college system in North Carolina has each implemented (or not) LibApps/LibGuides on their respective campuses. This section shows how different institutions may decide to use the platform in different ways—all while attempting to improve their own services. Upon completion of this authoritative LITA Guide, readers will come away with the knowledge and tools to maximize their LibGuides experience.

Phenological Research
Phenological Research

Author: Irene L. Hudson

Publisher: Springer Science & Business Media

Published: 2009-11-24

Total Pages: 525

ISBN-13: 9048133351

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As climate change continues to dominate the international environmental agenda, phenology – the study of the timing of recurring biological events – has received increasing research attention, leading to an emerging consensus that phenology can be viewed as an ‘early warning system’ for climate change impact. A multidisciplinary science involving many branches of ecology, geography and remote sensing, phenology to date has lacked a coherent methodological text. This new synthesis, including contributions from many of the world’s leading phenologists, therefore fills a critical gap in the current biological literature. Providing critiques of current methods, as well as detailing novel and emerging methodologies, the book, with its extensive suite of references, provides readers with an understanding of both the theoretical basis and the potential applications required to adopt and adapt new analytical and design methods. An invaluable source book for researchers and students in ecology and climate change science, the book also provides a useful reference for practitioners in a range of sectors, including human health, fisheries, forestry, agriculture and natural resource management.

Applied Directional Statistics
Applied Directional Statistics

Author: Christophe Ley

Publisher: CRC Press

Published: 2018-09-03

Total Pages: 400

ISBN-13: 1351856529

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This book collects important advances in methodology and data analysis for directional statistics. It is the companion book of the more theoretical treatment presented in Modern Directional Statistics (CRC Press, 2017). The field of directional statistics has received a lot of attention due to demands from disciplines such as life sciences or machine learning, the availability of massive data sets requiring adapted statistical techniques, and technological advances. This book covers important progress in bioinformatics, biology, astrophysics, oceanography, environmental sciences, earth sciences, machine learning and social sciences.

Topics in Circular Statistics
Topics in Circular Statistics

Author: S. Rao Jammalamadaka

Publisher: World Scientific

Published: 2001

Total Pages: 336

ISBN-13: 9810237782

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This research monograph on circular data analysis covers some recent advances in the field, besides providing a brief introduction to, and a review of, existing methods and models. The primary focus is on recent research into topics such as change-point problems, predictive distributions, circular correlation and regression, etc. An important feature of this work is the S-plus subroutines provided for analyzing actual data sets. Coupled with the discussion of new theoretical research, the book should benefit both the researcher and the practitioner.

Applications of Linear and Nonlinear Models
Applications of Linear and Nonlinear Models

Author: Erik Grafarend

Publisher: Springer Science & Business Media

Published: 2012-08-15

Total Pages: 1026

ISBN-13: 3642222412

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Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view as well as a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss-Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters we concentrate on underdetermined and overdeterimined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE and Total Least Squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann-Pluecker coordinates, criterion matrices of type Taylor-Karman as well as FUZZY sets. Chapter seven is a speciality in the treatment of an overdetermined system of nonlinear equations on curved manifolds. The von Mises-Fisher distribution is characteristic for circular or (hyper) spherical data. Our last chapter eight is devoted to probabilistic regression, the special Gauss-Markov model with random effects leading to estimators of type BLIP and VIP including Bayesian estimation. A great part of the work is presented in four Appendices. Appendix A is a treatment, of tensor algebra, namely linear algebra, matrix algebra and multilinear algebra. Appendix B is devoted to sampling distributions and their use in terms of confidence intervals and confidence regions. Appendix C reviews the elementary notions of statistics, namely random events and stochastic processes. Appendix D introduces the basics of Groebner basis algebra, its careful definition, the Buchberger Algorithm, especially the C. F. Gauss combinatorial algorithm.

Angular Statistics
Angular Statistics

Author: A V Dattatreya Rao

Publisher: CRC Press

Published: 2019-12-20

Total Pages: 184

ISBN-13: 1000739937

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Directional data arise in the form of circular / semicircular / axial, symmetric / asymmetric, uni / bimodal data, in practical situations of varied fields. For the purpose of modeling such kind of data sets, the data scientists found that existing models as inadequate. As there is paucity of angular models, and to fill the gap, this book is designed at constructing new angular models with the existing techniques and to develop new tools of constructing angular models with an application to control charts in angular models. This book is planned to cover the following topics in nine chapters Wrapped, stereographic and offset circular models Construction of angular models using Rising Sun function, positive definite sequences, discretization and through differential approach Extemporaneous Semicircular / arc and asymmetric l – axial models Choice of angular models as an inferential aspect and construction of control charts for angular data as an application are presented. This graduate level book will be useful for data scientists, researchers and research students of Statistics and allied fields.

Geometry Driven Statistics
Geometry Driven Statistics

Author: Ian L. Dryden

Publisher: John Wiley & Sons

Published: 2015-07-22

Total Pages: 432

ISBN-13: 1118866614

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A timely collection of advanced, original material in the area of statistical methodology motivated by geometric problems, dedicated to the influential work of Kanti V. Mardia This volume celebrates Kanti V. Mardia's long and influential career in statistics. A common theme unifying much of Mardia’s work is the importance of geometry in statistics, and to highlight the areas emphasized in his research this book brings together 16 contributions from high-profile researchers in the field. Geometry Driven Statistics covers a wide range of application areas including directional data, shape analysis, spatial data, climate science, fingerprints, image analysis, computer vision and bioinformatics. The book will appeal to statisticians and others with an interest in data motivated by geometric considerations. Summarizing the state of the art, examining some new developments and presenting a vision for the future, Geometry Driven Statistics will enable the reader to broaden knowledge of important research areas in statistics and gain a new appreciation of the work and influence of Kanti V. Mardia.