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Chi Squared Goodness Of Fit Tests With Applications

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Chi Squared Goodness of Fit Tests with Applications

Chi Squared Goodness of Fit Tests with Applications Book
Author : N. Balakrishnan,Vassilly Voinov,M.S Nikulin
Publisher : Academic Press
Release : 2013-01-25
ISBN : 0123977835
Language : En, Es, Fr & De

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Book Description :

Chi-Squared Goodness of Fit Tests with Applications provides a thorough and complete context for the theoretical basis and implementation of Pearson’s monumental contribution and its wide applicability for chi-squared goodness of fit tests. The book is ideal for researchers and scientists conducting statistical analysis in processing of experimental data as well as to students and practitioners with a good mathematical background who use statistical methods. The historical context, especially Chapter 7, provides great insight into importance of this subject with an authoritative author team. This reference includes the most recent application developments in using these methods and models. Systematic presentation with interesting historical context and coverage of the fundamentals of the subject Presents modern model validity methods, graphical techniques, and computer-intensive methods Recent research and a variety of open problems Interesting real-life examples for practitioners

Chi squared Goodness of fit Tests for Censored Data

Chi squared Goodness of fit Tests for Censored Data Book
Author : Mikhail S. Nikulin,Ekaterina V. Chimitova
Publisher : John Wiley & Sons
Release : 2017-07-06
ISBN : 1119427614
Language : En, Es, Fr & De

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Book Description :

This book is devoted to the problems of construction and application of chi-squared goodness-of-fit tests for complete and censored data. Classical chi-squared tests assume that unknown distribution parameters are estimated using grouped data, but in practice this assumption is often forgotten. In this book, we consider modified chi-squared tests, which do not suffer from such a drawback. The authors provide examples of chi-squared tests for various distributions widely used in practice, and also consider chi-squared tests for the parametric proportional hazards model and accelerated failure time model, which are widely used in reliability and survival analysis. Particular attention is paid to the choice of grouping intervals and simulations. This book covers recent innovations in the field as well as important results previously only published in Russian. Chi-squared tests are compared with other goodness-of-fit tests (such as the Cramer-von Mises-Smirnov, Anderson-Darling and Zhang tests) in terms of power when testing close competing hypotheses.

Goodness of Fit Tests and Model Validity

Goodness of Fit Tests and Model Validity Book
Author : C. Huber-Carol,N. Balakrishnan,M. Nikulin,M. Mesbah
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461201039
Language : En, Es, Fr & De

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Book Description :

The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity. The book is divided into eight parts, each of which presents topics written by expert researchers in their areas. Key features include: * state-of-the-art exposition of modern model validity methods, graphical techniques, and computer-intensive methods * systematic presentation with sufficient history and coverage of the fundamentals of the subject * exposure to recent research and a variety of open problems * many interesting real life examples for practitioners * extensive bibliography, with special emphasis on recent literature * subject index This comprehensive reference work will serve the statistical and applied mathematics communities as well as practitioners in the field.

Algorithms Using Chi squared and Other Goodness of Fit Tests to Identify a High expectation Subset of Independent Poisson Random Variables Or a Subset of Multinomial Cells Having Relatively High Probabilities with Applications in Chromosomal Fragile Site Identification

Algorithms Using Chi squared and Other Goodness of Fit Tests to Identify a High expectation Subset of Independent Poisson Random Variables  Or a Subset of Multinomial Cells Having Relatively High Probabilities  with Applications in Chromosomal Fragile Site Identification Book
Author : Ann Walls Olmsted
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Algorithms Using Chi squared and Other Goodness of Fit Tests to Identify a High expectation Subset of Independent Poisson Random Variables Or a Subset of Multinomial Cells Having Relatively High Probabilities with Applications in Chromosomal Fragile Site Identification book written by Ann Walls Olmsted, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Probability and Statistics and Applications

Probability and Statistics and Applications Book
Author : Leon Jay Gleser,David S. Moore,PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS.
Publisher : Unknown
Release : 1978
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This final report reviews the following work: minimax estimation of the mean vectors of multivariate normal distributions and of the slopes of multivariate linear regression models when the error covariance matrix is unknown; minimax properties of generalized ridge regression estimators of regression coefficients in the classical linear model; improvements on inadmissible simultaneous estimators for the parameters of k discrete populations; Bayes multiple comparison procedures in two factor ANOVA designs; calculations of and properties of point and interval estimators of slope parameters in multivariate errors in variables regression models (linear functional equations); asymptotic pointwise optimal and asymptotically optimal sequential Bayes regional estimators for functions of a vector parameter; chi-square goodness-of-fit tests for censored data and for multivariate normality; and the general theory and application of chi-square tests. A bibliography of publications, reports, and dissertations supported by the grant is provided.

Nonparametric Tests for Complete Data

Nonparametric Tests for Complete Data Book
Author : Vilijandas Bagdonavicius,Julius Kruopis,Mikhail S. Nikulin
Publisher : John Wiley & Sons
Release : 2013-02-04
ISBN : 1118601823
Language : En, Es, Fr & De

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Book Description :

This book concerns testing hypotheses in non-parametric models. Classical non-parametric tests (goodness-of-fit, homogeneity, randomness, independence) of complete data are considered. Most of the test results are proved and real applications are illustrated using examples. Theories and exercises are provided. The incorrect use of many tests applying most statistical software is highlighted and discussed.

Mathematical and Statistical Models and Methods in Reliability

Mathematical and Statistical Models and Methods in Reliability Book
Author : V.V. Rykov,N Balakrishnan,M.S. Nikulin
Publisher : Springer Science & Business Media
Release : 2010-11-02
ISBN : 9780817649715
Language : En, Es, Fr & De

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Book Description :

The book is a selection of invited chapters, all of which deal with various aspects of mathematical and statistical models and methods in reliability. Written by renowned experts in the field of reliability, the contributions cover a wide range of applications, reflecting recent developments in areas such as survival analysis, aging, lifetime data analysis, artificial intelligence, medicine, carcinogenesis studies, nuclear power, financial modeling, aircraft engineering, quality control, and transportation. Mathematical and Statistical Models and Methods in Reliability is an excellent reference text for researchers and practitioners in applied probability and statistics, industrial statistics, engineering, medicine, finance, transportation, the oil and gas industry, and artificial intelligence.

Current Index to Statistics Applications Methods and Theory

Current Index to Statistics  Applications  Methods and Theory Book
Author : Anonim
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Current Index to Statistics Applications Methods and Theory book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Contributions to Probability and Statistics Applications and Challenges

Contributions to Probability and Statistics  Applications and Challenges Book
Author : Anonim
Publisher : Unknown
Release : 2021-08-01
ISBN : 9814476471
Language : En, Es, Fr & De

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Book Description :

Download Contributions to Probability and Statistics Applications and Challenges book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Recent Advances in Robust Statistics Theory and Applications

Recent Advances in Robust Statistics  Theory and Applications Book
Author : Claudio Agostinelli,Ayanendranath Basu,Peter Filzmoser,Diganta Mukherjee
Publisher : Springer
Release : 2016-11-10
ISBN : 8132236432
Language : En, Es, Fr & De

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Book Description :

This book offers a collection of recent contributions and emerging ideas in the areas of robust statistics presented at the International Conference on Robust Statistics 2015 (ICORS 2015) held in Kolkata during 12–16 January, 2015. The book explores the applicability of robust methods in other non-traditional areas which includes the use of new techniques such as skew and mixture of skew distributions, scaled Bregman divergences, and multilevel functional data methods; application areas being circular data models and prediction of mortality and life expectancy. The contributions are of both theoretical as well as applied in nature. Robust statistics is a relatively young branch of statistical sciences that is rapidly emerging as the bedrock of statistical analysis in the 21st century due to its flexible nature and wide scope. Robust statistics supports the application of parametric and other inference techniques over a broader domain than the strictly interpreted model scenarios employed in classical statistical methods. The aim of the ICORS conference, which is being organized annually since 2001, is to bring together researchers interested in robust statistics, data analysis and related areas. The conference is meant for theoretical and applied statisticians, data analysts from other fields, leading experts, junior researchers and graduate students. The ICORS meetings offer a forum for discussing recent advances and emerging ideas in statistics with a focus on robustness, and encourage informal contacts and discussions among all the participants. They also play an important role in maintaining a cohesive group of international researchers interested in robust statistics and related topics, whose interactions transcend the meetings and endure year round.

Statistics and Probability with Applications for Engineers and Scientists

Statistics and Probability with Applications for Engineers and Scientists Book
Author : Bhisham C. Gupta,Irwin Guttman,Kalanka P. Jayalath
Publisher : John Wiley & Sons
Release : 2020-02-05
ISBN : 1119516633
Language : En, Es, Fr & De

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Book Description :

Introduces basic concepts in probability and statistics to data science students, as well as engineers and scientists Aimed at undergraduate/graduate-level engineering and natural science students, this timely, fully updated edition of a popular book on statistics and probability shows how real-world problems can be solved using statistical concepts. It removes Excel exhibits and replaces them with R software throughout, and updates both MINITAB and JMP software instructions and content. A new chapter discussing data mining—including big data, classification, machine learning, and visualization—is featured. Another new chapter covers cluster analysis methodologies in hierarchical, nonhierarchical, and model based clustering. The book also offers a chapter on Response Surfaces that previously appeared on the book’s companion website. Statistics and Probability with Applications for Engineers and Scientists using MINITAB, R and JMP, Second Edition is broken into two parts. Part I covers topics such as: describing data graphically and numerically, elements of probability, discrete and continuous random variables and their probability distributions, distribution functions of random variables, sampling distributions, estimation of population parameters and hypothesis testing. Part II covers: elements of reliability theory, data mining, cluster analysis, analysis of categorical data, , nonparametric tests, simple and multiple linear regression analysis, analysis of variance, factorial designs, response surfaces, and statistical quality control (SQC) including phase I and phase II control charts. The appendices contain statistical tables and charts and answers to selected problems. Features two new chapters—one on Data Mining and another on Cluster Analysis Now contains R exhibits including code, graphical display, and some results MINITAB and JMP have been updated to their latest versions Emphasizes the p-value approach and includes related practical interpretations Offers a more applied statistical focus, and features modified examples to better exhibit statistical concepts Supplemented with an Instructor's-only solutions manual on a book’s companion website Statistics and Probability with Applications for Engineers and Scientists using MINITAB, R and JMP is an excellent text for graduate level data science students, and engineers and scientists. It is also an ideal introduction to applied statistics and probability for undergraduate students in engineering and the natural sciences.

Asymptotics for Generalized Chi square Goodness of fit Tests

Asymptotics for Generalized Chi square Goodness of fit Tests Book
Author : Feike C. Drost
Publisher : Unknown
Release : 1988
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Asymptotics for Generalized Chi square Goodness of fit Tests book written by Feike C. Drost, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Stochastic Models Statistics and Their Applications

Stochastic Models  Statistics and Their Applications Book
Author : Ansgar Steland,Ewaryst Rafajłowicz,Krzysztof Szajowski
Publisher : Springer
Release : 2015-02-04
ISBN : 3319138812
Language : En, Es, Fr & De

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Book Description :

This volume presents the latest advances and trends in stochastic models and related statistical procedures. Selected peer-reviewed contributions focus on statistical inference, quality control, change-point analysis and detection, empirical processes, time series analysis, survival analysis and reliability, statistics for stochastic processes, big data in technology and the sciences, statistical genetics, experiment design, and stochastic models in engineering. Stochastic models and related statistical procedures play an important part in furthering our understanding of the challenging problems currently arising in areas of application such as the natural sciences, information technology, engineering, image analysis, genetics, energy and finance, to name but a few. This collection arises from the 12th Workshop on Stochastic Models, Statistics and Their Applications, Wroclaw, Poland.

Analele tiin ifice ale Universit ii Al I Cuza din Ia i

Analele   tiin  ifice ale Universit    ii  Al  I  Cuza  din Ia  i Book
Author : Universitatea "Al. I. Cuza" din Iași
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Analele tiin ifice ale Universit ii Al I Cuza din Ia i book written by Universitatea "Al. I. Cuza" din Iași, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Goodness of Fit Techniques

Goodness of Fit Techniques Book
Author : RalphB. D'Agostino
Publisher : Routledge
Release : 2017-10-19
ISBN : 1351444565
Language : En, Es, Fr & De

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Book Description :

Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction , and also collecting methods of testing for specific famous distributions, this usefulreference is the fust comprehensive.review of the extensive literature on the subject. It surveysthe leading methods of testing fit . .. provides tables to make the tests available . .. assessesthe comparative merits of different test procedures . .. and supplies numerical examples to aidin understanding these techniques.Goodness-of-Fit Techniques shows how to apply the techniques . .. emphasizes testing for thethree major distributions, normal, exponential, and uniform . .. discusses the handling of censoreddata .. . and contains over 650 bibliographic citations that cover the field.Illustrated with tables and drawings, this volume is an ideal reference for mathematical andapplied statisticians, and biostatisticians; professionals in applied science fields, including psychologists,biometricians , physicians, and quality control and reliability engineers; advancedundergraduate- and graduate-level courses on goodness-of-fit techniques; and professional seminarsand symposia on applied statistics, quality control, and reliability.

Goodness of Fit Techniques

Goodness of Fit Techniques Book
Author : Ralph B. D'Agostino
Publisher : CRC Press
Release : 1986-06-02
ISBN : 9780824774875
Language : En, Es, Fr & De

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Book Description :

Conveniently grouping methods by techniques, such as chi-squared and empirical distributionfunction, and also collecting methods of testing for specific famous distributions, this useful reference is the first comprehensive review of the extensive literature on the subject. It surveysthe leading methods of testing fit . .. provides tables to make the tests available . .. assessesthe comparative merits of different test procedures . .. and supplies numerical examples to aidin understanding these techniques.Goodness-of-Fit Techniques shows how to apply the techniques . .. emphasizes testing for thethree major distributions, normal, exponential, and uniform . .. discusses the handling of censoreddata .. . and contains over 650 bibliographic citations that cover the field.Illustrated with tables and drawings, this volume is an ideal reference for mathematical andapplied statisticians, and biostatisticians; professionals in applied science fields, including psychologists, biometricians, physicians, and quality control and reliability engineers; advancedundergraduate- and graduate-level courses on goodness-of-fit techniques; and professional seminarsand symposia on applied statistics, quality control, and reliability.

Recent Advances in Stochastic Modeling and Data Analysis

Recent Advances in Stochastic Modeling and Data Analysis Book
Author : Christos H. Skiadas
Publisher : World Scientific
Release : 2007
ISBN : 981270969X
Language : En, Es, Fr & De

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Book Description :

This volume presents the most recent applied and methodological issues in stochastic modeling and data analysis. The contributions cover various fields such as stochastic processes and applications, data analysis methods and techniques, Bayesian methods, biostatistics, econometrics, sampling, linear and nonlinear models, networks and queues, survival analysis, and time series. The volume presents new results with potential for solving real-life problems and provides novel methods for solving these problems by analyzing the relevant data. The use of recent advances in different fields is emphasized, especially new optimization and statistical methods, data warehouse, data mining and knowledge systems, neural computing, and bioinformatics. Sample Chapter(s). Chapter 1: An approach to Stochastic Process using Quasi-Arithmetic Means (373 KB). Contents: Stochastic Processes and Models; Distributions; Insurance; Stochastic Modeling for Healthcare Management; Markov and Semi Markov Models; Parametric/Non-Parametric; Dynamical Systems/Forecasting; Modeling and Stochastic Modeling; Statistical Applications in Socioeconimic Problems; Sampling and Optimization Problems; Data Mining and Applications; Clustering and Classification; Applications of Data Analysis; Miscellaneous. Readership: Researchers in probability and statistics, stochastics and fuzzy logic.

Modern Mathematical Statistics with Applications

Modern Mathematical Statistics with Applications Book
Author : Jay L. Devore,Kenneth N. Berk
Publisher : Springer Science & Business Media
Release : 2011-12-07
ISBN : 146140391X
Language : En, Es, Fr & De

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Book Description :

Modern Mathematical Statistics with Applications, Second Edition strikes a balance between mathematical foundations and statistical practice. In keeping with the recommendation that every math student should study statistics and probability with an emphasis on data analysis, accomplished authors Jay Devore and Kenneth Berk make statistical concepts and methods clear and relevant through careful explanations and a broad range of applications involving real data. The main focus of the book is on presenting and illustrating methods of inferential statistics that are useful in research. It begins with a chapter on descriptive statistics that immediately exposes the reader to real data. The next six chapters develop the probability material that bridges the gap between descriptive and inferential statistics. Point estimation, inferences based on statistical intervals, and hypothesis testing are then introduced in the next three chapters. The remainder of the book explores the use of this methodology in a variety of more complex settings. This edition includes a plethora of new exercises, a number of which are similar to what would be encountered on the actuarial exams that cover probability and statistics. Representative applications include investigating whether the average tip percentage in a particular restaurant exceeds the standard 15%, considering whether the flavor and aroma of Champagne are affected by bottle temperature or type of pour, modeling the relationship between college graduation rate and average SAT score, and assessing the likelihood of O-ring failure in space shuttle launches as related to launch temperature.

Government Reports Announcements Index

Government Reports Announcements   Index Book
Author : Anonim
Publisher : Unknown
Release : 1984
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Government Reports Announcements Index book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Essentials of Probability Theory for Statisticians

Essentials of Probability Theory for Statisticians Book
Author : Michael A. Proschan,Pamela A. Shaw
Publisher : CRC Press
Release : 2018-09-03
ISBN : 131536235X
Language : En, Es, Fr & De

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Book Description :

Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory, with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics, such as outlier tests, monitoring clinical trials, and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. After building a foundation in probability, the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition, counterexamples further clarify nuances in meaning and expose common fallacies in logic. This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.