Download or read book Unbiased Estimators and Their Applications written by V.G. Voinov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical inferential methods are widely used in the study of various physical, biological, social, and other phenomena. Parametric estimation is one such method. Although there are many books which consider problems of statistical point estimation, this volume is the first to be devoted solely to the problem of unbiased estimation. It contains three chapters dealing, respectively, with the theory of point statistical estimation, techniques for constructing unbiased estimators, and applications of unbiased estimation theory. These chapters are followed by a comprehensive appendix which classifies and lists, in the form of tables, all known results relating to unbiased estimators of parameters for univariate distributions. About one thousand minimum variance unbiased estimators are listed. The volume also contains numerous examples and exercises. This volume will serve as a handbook on point unbiased estimation for researchers whose work involves statistics. It can also be recommended as a supplementary text for graduate students.

Download or read book Statistical Methods and Concepts written by Mihir Nath Das and published by New Age International. This book was released on 1989 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book Presents Underlying Concepts, Derivation And Deduction Of A Large Number Of Statistical Methods That Are Applied To Solve Practical Problems. Most Of The Topics Are Developed From Basic Concepts Rather Than Being Introduced Using Abrupt Definitions. Results Are Obtained From First Principles Mainly And In This Way The Book Is Somewhat Different From The Existing Texts On The Subject. This Manner Of Presentation Is Expected To Be Helpful To Students And Teachers To Have Proper Appreciation Of The Subject Of Statistics And To Make Application Of Statistical Methods To Real Life Problem More Meaningful.The Book Has Been Written Using Minimum Of Mathematics Giving Emphasis On Developing Concepts Properly So That It Can Be Approached By A Wider Section Of Readers Including Subject-Matter Specialists And Their Students In Other Disciplines. It Contains Several Alternative Methods Of Deduction And Derivation To Make Calculations Simpler And Systematic. A Large Number Of Examples Have Been Included For Easy Reading And Understanding. Subject-Matter Specialists To Help Applying Statistical Methods For Research, Teaching And Other Activities Can Use It.A Chapter On Computer Programmes Has Been Included To Provide Complete Programmes For Solving Some Problems Requiring Lengthy Calculations Such As Needed For Multiple And Partial Correlation Coefficients, Partial Regression Coefficients And Their Standard Errors And For Printing Statistical Tables Like Probability Integral Table For Bivariate Normal Distribution.

Download or read book Selected Papers of Frederick Mosteller written by Stephen E. Fienberg and published by Springer Science & Business Media. This book was released on 2007-02-01 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the best known statisticians of the 20th century, Frederick Mosteller has inspired numerous statisticians and other scientists by his creative approach to statistics and its applications. This volume collects 40 of his most original and influential papers, capturing the variety and depth of his writings. It is hoped that sharing these writings with a new generation of researchers will inspire them to build upon his insights and efforts.

Download or read book Survey Sampling Theory and Applications written by Raghunath Arnab and published by Academic Press. This book was released on 2017-03-08 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey sampling. The book covers a wide spectrum of topics on the subject, including repetitive sampling over two occasions with varying probabilities, ranked set sampling, Fays method for balanced repeated replications, mirror-match bootstrap, and controlled sampling procedures. Many topics discussed here are not available in other text books. In each section, theories are illustrated with numerical examples. At the end of each chapter theoretical as well as numerical exercises are given which can help graduate students. - Covers a wide spectrum of topics on survey sampling and statistics - Serves as an ideal text for graduate students and researchers in survey sampling theory and applications - Contains material on recent developments in survey sampling not covered in other books - Illustrates theories using numerical examples and exercises

Download or read book Algorithms for Communications Systems and their Applications written by Nevio Benvenuto and published by John Wiley & Sons. This book was released on 2002-10-11 with total page 1324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the logical arithmetical or computational procedures within communications systems that will ensure the solution to various problems. The authors comprehensively introduce the theoretical elements that are at the basis of the field of algorithms for communications systems. Various applications of these algorithms are then illustrated with particular attention to wired and wireless network access technologies. * Provides a complete treatment of algorithms for communications systems, rarely presented together * Introduces the theoretical background to digital communications and signal processing * Features numerous applications including advanced wireless modems and echo cancellation techniques * Includes useful reference lists at the end of each chapter Graduate students in the fields of Telecommunications and Electrical Engineering Researchers and Professionals in the area of Digital Communications, Signal Processing and Computer Engineering will find this book invaluable.

Download or read book Unbiased Estimators and Their Applications written by V.G. Voinov and published by Springer. This book was released on 1993-08-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical inferential methods are widely used in the study of various physical, biological, social, and other phenomena. Parametric estimation is one such method. Although there are many books which consider problems of statistical point estimation, this volume is the first to be devoted solely to the problem of unbiased estimation. It contains three chapters dealing, respectively, with the theory of point statistical estimation, techniques for constructing unbiased estimators, and applications of unbiased estimation theory. These chapters are followed by a comprehensive appendix which classifies and lists, in the form of tables, all known results relating to unbiased estimators of parameters for univariate distributions. About one thousand minimum variance unbiased estimators are listed. The volume also contains numerous examples and exercises. This volume will serve as a handbook on point unbiased estimation for researchers whose work involves statistics. It can also be recommended as a supplementary text for graduate students.

Download or read book Matrix Algebra And Its Applications To Statistics And Econometrics written by Calyampudi Radhakrishna Rao and published by World Scientific. This book was released on 1998-07-10 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two top statisticians with experience in teaching matrix methods for applications in statistics, econometrics and related areas, this book provides a comprehensive treatment of the latest techniques in matrix algebra. A well-balanced approach to discussing the mathematical theory and applications to problems in other areas is an attractive feature of the book. It can be used as a textbook in courses on matrix algebra for statisticians, econometricians and mathematicians as well. Some of the new developments of linear models are given in some detail using results of matrix algebra.

Download or read book Modern Mathematical Statistics with Applications written by Jay L. Devore and published by Springer Nature. This book was released on 2021-04-29 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 3rd edition of Modern Mathematical Statistics with Applications tries to strike a balance between mathematical foundations and statistical practice. The book provides a clear and current exposition of statistical concepts and methodology, including many examples and exercises based on real data gleaned from publicly available sources. Here is a small but representative selection of scenarios for our examples and exercises based on information in recent articles: Use of the “Big Mac index” by the publication The Economist as a humorous way to compare product costs across nations Visualizing how the concentration of lead levels in cartridges varies for each of five brands of e-cigarettes Describing the distribution of grip size among surgeons and how it impacts their ability to use a particular brand of surgical stapler Estimating the true average odometer reading of used Porsche Boxsters listed for sale on www.cars.com Comparing head acceleration after impact when wearing a football helmet with acceleration without a helmet Investigating the relationship between body mass index and foot load while running The main focus of the book is on presenting and illustrating methods of inferential statistics used by investigators in a wide variety of disciplines, from actuarial science all the way to zoology. It begins with a chapter on descriptive statistics that immediately exposes the reader to the analysis of real data. The next six chapters develop the probability material that facilitates the transition from simply describing data to drawing formal conclusions based on inferential methodology. Point estimation, the use of statistical intervals, and hypothesis testing are the topics of the first three inferential chapters. The remainder of the book explores the use of these methods in a variety of more complex settings. This edition includes many new examples and exercises as well as an introduction to the simulation of events and probability distributions. There are more than 1300 exercises in the book, ranging from very straightforward to reasonably challenging. Many sections have been rewritten with the goal of streamlining and providing a more accessible exposition. Output from the most common statistical software packages is included wherever appropriate (a feature absent from virtually all other mathematical statistics textbooks). The authors hope that their enthusiasm for the theory and applicability of statistics to real world problems will encourage students to pursue more training in the discipline.

Download or read book Linear Statistical Inference and its Applications written by C. Radhakrishna Rao and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: "C. R. Rao would be found in almost any statistician's list of five outstanding workers in the world of Mathematical Statistics today. His book represents a comprehensive account of the main body of results that comprise modern statistical theory." -W. G. Cochran "[C. R. Rao is] one of the pioneers who laid the foundations of statistics which grew from ad hoc origins into a firmly grounded mathematical science." -B. Efrom Translated into six major languages of the world, C. R. Rao's Linear Statistical Inference and Its Applications is one of the foremost works in statistical inference in the literature. Incorporating the important developments in the subject that have taken place in the last three decades, this paperback reprint of his classic work on statistical inference remains highly applicable to statistical analysis. Presenting the theory and techniques of statistical inference in a logically integrated and practical form, it covers: * The algebra of vectors and matrices * Probability theory, tools, and techniques * Continuous probability models * The theory of least squares and the analysis of variance * Criteria and methods of estimation * Large sample theory and methods * The theory of statistical inference * Multivariate normal distribution Written for the student and professional with a basic knowledge of statistics, this practical paperback edition gives this industry standard new life as a key resource for practicing statisticians and statisticians-in-training.

Download or read book Probabilistic Methods in Discrete Mathematics written by V. F. Kolchin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probabilistic Methods in Discrete Mathematics".

Download or read book STATISTICAL INFERENCE THEORY OF ESTIMATION written by MANOJ KUMAR SRIVASTAVA and published by PHI Learning Pvt. Ltd.. This book was released on 2014-04-03 with total page 817 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is sequel to a book Statistical Inference: Testing of Hypotheses (published by PHI Learning). Intended for the postgraduate students of statistics, it introduces the problem of estimation in the light of foundations laid down by Sir R.A. Fisher (1922) and follows both classical and Bayesian approaches to solve these problems. The book starts with discussing the growing levels of data summarization to reach maximal summarization and connects it with sufficient and minimal sufficient statistics. The book gives a complete account of theorems and results on uniformly minimum variance unbiased estimators (UMVUE)—including famous Rao and Blackwell theorem to suggest an improved estimator based on a sufficient statistic and Lehmann-Scheffe theorem to give an UMVUE. It discusses Cramer-Rao and Bhattacharyya variance lower bounds for regular models, by introducing Fishers information and Chapman, Robbins and Kiefer variance lower bounds for Pitman models. Besides, the book introduces different methods of estimation including famous method of maximum likelihood and discusses large sample properties such as consistency, consistent asymptotic normality (CAN) and best asymptotic normality (BAN) of different estimators. Separate chapters are devoted for finding Pitman estimator, among equivariant estimators, for location and scale models, by exploiting symmetry structure, present in the model, and Bayes, Empirical Bayes, Hierarchical Bayes estimators in different statistical models. Systematic exposition of the theory and results in different statistical situations and models, is one of the several attractions of the presentation. Each chapter is concluded with several solved examples, in a number of statistical models, augmented with exposition of theorems and results. KEY FEATURES • Provides clarifications for a number of steps in the proof of theorems and related results., • Includes numerous solved examples to improve analytical insight on the subject by illustrating the application of theorems and results. • Incorporates Chapter-end exercises to review student’s comprehension of the subject. • Discusses detailed theory on data summarization, unbiased estimation with large sample properties, Bayes and Minimax estimation, separately, in different chapters.

Download or read book Handbook of Bioequivalence Testing Second Edition written by Sarfaraz K. Niazi and published by CRC Press. This book was released on 2014-10-29 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the generic pharmaceutical industry continues to grow and thrive, so does the need to conduct adequate, efficient bioequivalence studies. In recent years, there have been significant changes to the statistical models for evaluating bioequivalence. In addition, advances in the analytical technology used to detect drug and metabolite levels have made bioequivalence testing more complex. The second edition of Handbook of Bioequivalence Testing has been completely updated to include the most current information available, including new findings in drug delivery and dosage form design and revised worldwide regulatory requirements. New topics include: A historical perspective on generic pharmaceuticals New guidelines governing submissions related to bioequivalency studies, along with therapeutic code classifications Models of noninferiority Biosimilarity of large molecule drugs Bioequivalence of complementary and alternate medicines Bioequivalence of biosimilar therapeutic proteins and monoclonal antibodies New FDA guidelines for bioanalytical method validation Outsourcing and monitoring of bioequivalence studies The cost of generic drugs is rising much faster than in the past, partly because of the increased costs required for approval—including those for bioequivalence testing. There is a dire need to re-examine the science behind this type of testing to reduce the burden of development costs—allowing companies to develop generic drugs faster and at a lower expense. The final chapter explores the future of bioequivalence testing and proposes radical changes in the process of biowaivers. It suggests how the cost of demonstrating bioequivalence can be reduced through intensive analytical investigation and proposes that regulatory agencies reduce the need for bioequivalence studies in humans. Backed by science and updated with the latest research, this book is destined to spark continued debate on the efficacy of the current bioequivalence testing paradigm.

Download or read book A Course in Credibility Theory and its Applications written by Hans Bühlmann and published by Springer Science & Business Media. This book was released on 2005-08-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is ideal for practicing experts in particular actuaries in the field of property-casualty insurance, life insurance, reinsurance and insurance supervision, as well as teachers and students. It provides an exploration of Credibility Theory, covering most aspects of this topic from the simplest case to the most detailed dynamic model. The book closely examines the tasks an actuary encounters daily: estimation of loss ratios, claim frequencies and claim sizes.

Download or read book Essentials of Econometrics written by Damodar N. Gujarati and published by SAGE Publications. This book was released on 2021-08-23 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated Fifth Edition of Damodar N. Gujarati′s classic text provides a user-friendly overview of the basics of econometric theory from ordinal logistic regression to time series. Acclaimed for its accessibility, brevity, and logical organization, the book helps beginning students understand econometric techniques through extensive examples (many new to this edition), careful explanations, and a wide array of chapter-ending questions and problems. Major developments in the field are covered in an intuitive and informative way without resorting to matrix algebra, calculus, or statistics beyond the introductory level. A companion website for the book includes resources for both instructors and students. Further details are on the Resources tab above.

Download or read book Linear Statistical Inference and Its Applications written by Calyampudi Radhakrishna Rao and published by . This book was released on 1965 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Kybernetika written by and published by . This book was released on 1997 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Credit Scoring and Its Applications Second Edition written by Lyn Thomas and published by SIAM. This book was released on 2017-08-16 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Credit Scoring and Its Applications is recognized as the bible of credit scoring. It contains a comprehensive review of the objectives, methods, and practical implementation of credit and behavioral scoring. The authors review principles of the statistical and operations research methods used in building scorecards, as well as the advantages and disadvantages of each approach. The book contains a description of practical problems encountered in building, using, and monitoring scorecards and examines some of the country-specific issues in bankruptcy, equal opportunities, and privacy legislation. It contains a discussion of economic theories of consumers' use of credit, and readers will gain an understanding of what lending institutions seek to achieve by using credit scoring and the changes in their objectives. New to the second edition are lessons that can be learned for operations research model building from the global financial crisis, current applications of scoring, discussions on the Basel Accords and their requirements for scoring, new methods for scorecard building and new expanded sections on ways of measuring scorecard performance. And survival analysis for credit scoring. Other unique features include methods of monitoring scorecards and deciding when to update them, as well as different applications of scoring, including direct marketing, profit scoring, tax inspection, prisoner release, and payment of fines.