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Author: Jonathan Allen Nikoleyczik Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
The ubiquity of dark matter is now well established, but a direct detection of a dark matter particle has yet to be observed. Among the many possible methods of detecting dark matter, liquid xenon detectors are some of the most sensitive. One of the world leading experiments of this type is the LUX-ZEPLIN (LZ) detector. Given the current limits on dark matter interaction rates, which are on the order of one event per ton of material per year, every precaution must be taken to mitigate and account for background events. This mitigation begins with the construction of the detector, 4850' under the Black Hills of South Dakota. During the assembly, every material was screened for radioactivity and careful radon emanation measurements were taken. Informed by these measurements, the detector was assembled in the cleanest manner possible. These choices made during the construction of the detector have a large impact on the performance, which can be seen in the final dataset. To set a sensitivity limit, the model of the detector will be compared to an observed dataset. The process of construction of the models used in different scenarios of detector conditions and background rates will be covered. The hypothesis testing which is required for the limit setting will be discussed in detail along with alternatives which trade speed and accuracy. This includes a detailed study of minimization techniques and their implications on fitting performance and accuracy. The results of a high fidelity mock dataset will be compared to the detector model to set a limit.
Author: Jonathan Allen Nikoleyczik Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
The ubiquity of dark matter is now well established, but a direct detection of a dark matter particle has yet to be observed. Among the many possible methods of detecting dark matter, liquid xenon detectors are some of the most sensitive. One of the world leading experiments of this type is the LUX-ZEPLIN (LZ) detector. Given the current limits on dark matter interaction rates, which are on the order of one event per ton of material per year, every precaution must be taken to mitigate and account for background events. This mitigation begins with the construction of the detector, 4850' under the Black Hills of South Dakota. During the assembly, every material was screened for radioactivity and careful radon emanation measurements were taken. Informed by these measurements, the detector was assembled in the cleanest manner possible. These choices made during the construction of the detector have a large impact on the performance, which can be seen in the final dataset. To set a sensitivity limit, the model of the detector will be compared to an observed dataset. The process of construction of the models used in different scenarios of detector conditions and background rates will be covered. The hypothesis testing which is required for the limit setting will be discussed in detail along with alternatives which trade speed and accuracy. This includes a detailed study of minimization techniques and their implications on fitting performance and accuracy. The results of a high fidelity mock dataset will be compared to the detector model to set a limit.
Author: Jacob Cohen Publisher: Routledge ISBN: 1134742770 Category : Psychology Languages : en Pages : 625
Book Description
Statistical Power Analysis is a nontechnical guide to power analysis in research planning that provides users of applied statistics with the tools they need for more effective analysis. The Second Edition includes: * a chapter covering power analysis in set correlation and multivariate methods; * a chapter considering effect size, psychometric reliability, and the efficacy of "qualifying" dependent variables and; * expanded power and sample size tables for multiple regression/correlation.
Author: Joseph Glaz Publisher: Springer Science & Business Media ISBN: 1475734603 Category : Mathematics Languages : en Pages : 380
Book Description
In many statistical applications, scientists have to analyze the occurrence of observed clusters of events in time or space. Scientists are especially interested in determining whether an observed cluster of events has occurred by chance if it is assumed that the events are distributed independently and uniformly over time or space. Scan statistics have relevant applications in many areas of science and technology including geology, geography, medicine, minefield detection, molecular biology, photography, quality control and reliability theory and radio-optics.
Author: Elena Aprile Publisher: John Wiley & Sons ISBN: 3527609636 Category : Science Languages : en Pages : 362
Book Description
This book discusses the physical properties of noble fluids, operational principles of detectors based on these media, and the best technical solutions to the design of these detectors. Essential attention is given to detector technology: purification methods and monitoring of purity, information readout methods, electronics, detection of hard ultra-violet light emission, selection of materials, cryogenics etc. The book is mostly addressed to physicists and graduate students involved in the preparation of fundamental next generation experiments, nuclear engineers developing instrumentation for national nuclear security and for monitoring nuclear materials.
Author: Muge Karagoz Unel Publisher: World Scientific ISBN: 1908979887 Category : Science Languages : en Pages : 323
Book Description
These proceedings comprise current statistical issues in analyzing data in particle physics, astrophysics and cosmology, as discussed at the PHYSTAT05 conference in Oxford. This is a continuation of the popular PHYSTAT series; previous meetings were held at CERN (2000), Fermilab (2000), Durham (2002) and Stanford (2003).In-depth discussions on topical issues are presented by leading statisticians and research workers in their relevant fields. Included are invited reviews and contributed research papers presenting the latest, state-of-the-art techniques./a
Author: Howard M. Taylor Publisher: Academic Press ISBN: 1483269272 Category : Mathematics Languages : en Pages : 410
Book Description
An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.
Author: Eugene Demidenko Publisher: John Wiley & Sons ISBN: 1118091574 Category : Mathematics Languages : en Pages : 768
Book Description
Praise for the First Edition “This book will serve to greatly complement the growing number of texts dealing with mixed models, and I highly recommend including it in one’s personal library.” —Journal of the American Statistical Association Mixed modeling is a crucial area of statistics, enabling the analysis of clustered and longitudinal data. Mixed Models: Theory and Applications with R, Second Edition fills a gap in existing literature between mathematical and applied statistical books by presenting a powerful examination of mixed model theory and application with special attention given to the implementation in R. The new edition provides in-depth mathematical coverage of mixed models’ statistical properties and numerical algorithms, as well as nontraditional applications, such as regrowth curves, shapes, and images. The book features the latest topics in statistics including modeling of complex clustered or longitudinal data, modeling data with multiple sources of variation, modeling biological variety and heterogeneity, Healthy Akaike Information Criterion (HAIC), parameter multidimensionality, and statistics of image processing. Mixed Models: Theory and Applications with R, Second Edition features unique applications of mixed model methodology, as well as: Comprehensive theoretical discussions illustrated by examples and figures Over 300 exercises, end-of-section problems, updated data sets, and R subroutines Problems and extended projects requiring simulations in R intended to reinforce material Summaries of major results and general points of discussion at the end of each chapter Open problems in mixed modeling methodology, which can be used as the basis for research or PhD dissertations Ideal for graduate-level courses in mixed statistical modeling, the book is also an excellent reference for professionals in a range of fields, including cancer research, computer science, and engineering.
Author: Karl Johan Åström Publisher: Princeton University Press ISBN: 069121347X Category : Technology & Engineering Languages : en Pages :
Book Description
The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Author: Glen Cowan Publisher: Oxford University Press ISBN: 0198501560 Category : Mathematics Languages : en Pages : 218
Book Description
This book is a guide to the practical application of statistics in data analysis as typically encountered in the physical sciences. It is primarily addressed at students and professionals who need to draw quantitative conclusions from experimental data. Although most of the examples are takenfrom particle physics, the material is presented in a sufficiently general way as to be useful to people from most branches of the physical sciences. The first part of the book describes the basic tools of data analysis: concepts of probability and random variables, Monte Carlo techniques,statistical tests, and methods of parameter estimation. The last three chapters are somewhat more specialized than those preceding, covering interval estimation, characteristic functions, and the problem of correcting distributions for the effects of measurement errors (unfolding).
Author: Jonathan Allen Nikoleyczik
Author: Jonathan Allen Nikoleyczik
Author: Jacob Cohen
Author: Joseph Glaz
Author: Elena Aprile
Author: Muge Karagoz Unel
Author: Howard M. Taylor
Author: A. G. Frodesen
Author: Eugene Demidenko
Author: Karl Johan Åström
Author: Glen Cowan