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- Objectstaat
- ISBN
- 9781584887225
- Subject Area
- Science, Mathematics
- Publication Name
- Exercises and Solutions in Biostatistical Theory
- Item Length
- 9.2 in
- Publisher
- CRC Press LLC
- Subject
- Probability & Statistics / General, Life Sciences / Biology
- Publication Year
- 2010
- Series
- Chapman and Hall/Crc Texts in Statistical Science Ser.
- Type
- Textbook
- Format
- Uk-B Format Paperback
- Language
- English
- Item Height
- 0.9 in
- Item Width
- 6.1 in
- Item Weight
- 20.8 Oz
- Number of Pages
- 420 Pages
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Product Information
Drawn from nearly four decades of Lawrence L. Kupper's teaching experiences as a distinguished professor in the Department of Biostatistics at the University of North Carolina, Exercises and Solutions in Biostatistical Theory presents theoretical statistical concepts, numerous exercises, and detailed solutions that span topics from basic probability to statistical inference. The text links theoretical biostatistical principles to real-world situations, including some of the authors' own biostatistical work that has addressed complicated design and analysis issues in the health sciences. This classroom-tested material is arranged sequentially starting with a chapter on basic probability theory, followed by chapters on univariate distribution theory and multivariate distribution theory. The last two chapters on statistical inference cover estimation theory and hypothesis testing theory. Each chapter begins with an in-depth introduction that summarizes the biostatistical principles needed to help solve the exercises. Exercises range in level of difficulty from fairly basic to more challenging (identified with asterisks). By working through the exercises and detailed solutions in this book, students will develop a deep understanding of the principles of biostatistical theory. The text shows how the biostatistical theory is effectively used to address important biostatistical issues in a variety of real-world settings. Mastering the theoretical biostatistical principles described in the book will prepare students for successful study of higher-level statistical theory and will help them become better biostatisticians.
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
1584887222
ISBN-13
9781584887225
eBay Product ID (ePID)
61626751
Product Key Features
Publication Name
Exercises and Solutions in Biostatistical Theory
Format
Uk-B Format Paperback
Language
English
Subject
Probability & Statistics / General, Life Sciences / Biology
Publication Year
2010
Series
Chapman and Hall/Crc Texts in Statistical Science Ser.
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
420 Pages
Dimensions
Item Length
9.2 in
Item Height
0.9 in
Item Width
6.1 in
Item Weight
20.8 Oz
Additional Product Features
LCCN
2010-032496
Intended Audience
College Audience
Lc Classification Number
Qh323.5.K87 2011
Reviews
a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. I have recommended the book to some of my graduate students who are studying for their qualifying exams. I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations. "Scott Emerson, Biometrics, June 2011 it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier. "Kaushik Ghosh, Journal of Biopharmaceutical Statistics, "This book is a rich collection of class-tested material given in the form of exercises followed by their complete solutions. ... The material is well chosen and well structured. ... The exercises are of a different nature: some are relatively elementary; others are more advanced. This makes the book useful for both undergraduate and graduate courses. The solutions are so detailed that the book can be used for self-learning. The authors are successful in presenting elements of statistical theory and also in showing how to answer important questions when analysing statistical models of real-life phenomena. ... It is of no doubt that it will be useful for students and their teachers." --Jordan Stoyanov, Journal of the Royal Statistical Society, Series A, February 2014 "... it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels ... Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. ... Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. ... I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier." --Kaushik Ghosh, Journal of Biopharmaceutical Statistics, Vol. 22, 2012 "... a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. ... this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. ... I have recommended the book to some of my graduate students who are studying for their qualifying exams. ... I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations." --Scott Emerson, Biometrics, June 2011, "This exercises-with-solutions book contains exercises covering all parts of statistical theory from descriptive statistics to statistical inference. This book is aimed for advanced undergraduate students, and graduate students in many disciplines, such as mathematics, statistics, biostatistics, computer science, engineering, etc. ... Teachers of statistics can find useful exercises for their classes, especially the teachers who teach biostatistics to medical student. ... In conclusion, this book is useful for both students who want to expand their statistics knowledge and teachers who teach statistics." --Cosmina-Ioana Bondor, ISCB News , May 2017 "This book is a rich collection of class-tested material given in the form of exercises followed by their complete solutions. ... The material is well chosen and well structured. ... The exercises are of a different nature: some are relatively elementary; others are more advanced. This makes the book useful for both undergraduate and graduate courses. The solutions are so detailed that the book can be used for self-learning. The authors are successful in presenting elements of statistical theory and also in showing how to answer important questions when analysing statistical models of real-life phenomena. ... It is of no doubt that it will be useful for students and their teachers." --Jordan Stoyanov, Journal of the Royal Statistical Society, Series A, February 2014 "I can highly recommend this book for readers who are interested in learning statistical theory and its applications. The book provides good supplementary material for various teaching purposes in biostatistics, but also for self-study for anyone who is willing to deepen their theoretical knowledge in statistics using good examples." --International Statistical Review, 2013 "... this book provides a nice collection of problems in statistical theory. It is definitely useful for students who need additional problems for practice. It is also helpful for instructors who seek extra problems for their lectures, homework, and exams. In fact, I used one problem in my mid-term exam while I was reviewing this book." --Kui Zhang, The American Statistician, November 2013 "... it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels ... Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. ... Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. ... I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier." --Kaushik Ghosh, Journal of Biopharmaceutical Statistics, Vol. 22, 2012 "... a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. ... this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. ... I have recommended the book to some of my graduate students who are studying for their qualifying exams. ... I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations." --Scott Emerson, Biometrics, June 2011, … it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels … Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. … Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. … I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier. -Kaushik Ghosh, Journal of Biopharmaceutical Statistics, Vol. 22, 2012 … a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. … this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. … I have recommended the book to some of my graduate students who are studying for their qualifying exams. … I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations. … -Scott Emerson, Biometrics, June 2011, e it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels e Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. e Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. e I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier. e"Kaushik Ghosh, Journal of Biopharmaceutical Statistics, Vol. 22, 2012 e a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. e this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. e I have recommended the book to some of my graduate students who are studying for their qualifying exams. e I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations. e e"Scott Emerson, Biometrics, June 2011, … a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. … this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. … I have recommended the book to some of my graduate students who are studying for their qualifying exams. … I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations. … -Scott Emerson, Biometrics, June 2011 … it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels … Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. … Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. … I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier. -Kaushik Ghosh, Journal of Biopharmaceutical Statistics, "This book is a rich collection of class-tested material given in the form of exercises followed by their complete solutions. ... The material is well chosen and well structured. ... The exercises are of a different nature: some are relatively elementary; others are more advanced. This makes the book useful for both undergraduate and graduate courses. The solutions are so detailed that the book can be used for self-learning. The authors are successful in presenting elements of statistical theory and also in showing how to answer important questions when analysing statistical models of real-life phenomena. ... It is of no doubt that it will be useful for students and their teachers." --Jordan Stoyanov, Journal of the Royal Statistical Society, Series A, February 2014 "I can highly recommend this book for readers who are interested in learning statistical theory and its applications. The book provides good supplementary material for various teaching purposes in biostatistics, but also for self-study for anyone who is willing to deepen their theoretical knowledge in statistics using good examples." --International Statistical Review, 2013 "... this book provides a nice collection of problems in statistical theory. It is definitely useful for students who need additional problems for practice. It is also helpful for instructors who seek extra problems for their lectures, homework, and exams. In fact, I used one problem in my mid-term exam while I was reviewing this book." --Kui Zhang, The American Statistician, November 2013 "... it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels ... Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. ... Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. ... I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier." --Kaushik Ghosh, Journal of Biopharmaceutical Statistics, Vol. 22, 2012 "... a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. ... this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. ... I have recommended the book to some of my graduate students who are studying for their qualifying exams. ... I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations." --Scott Emerson, Biometrics, June 2011, "This book is a rich collection of class-tested material given in the form of exercises followed by their complete solutions. ... The material is well chosen and well structured. ... The exercises are of a different nature: some are relatively elementary; others are more advanced. This makes the book useful for both undergraduate and graduate courses. The solutions are so detailed that the book can be used for self-learning. The authors are successful in presenting elements of statistical theory and also in showing how to answer important questions when analysing statistical models of real-life phenomena. ... It is of no doubt that it will be useful for students and their teachers." --Jordan Stoyanov, Journal of the Royal Statistical Society, Series A, February 2014 "... this book provides a nice collection of problems in statistical theory. It is definitely useful for students who need additional problems for practice. It is also helpful for instructors who seek extra problems for their lectures, homework, and exams. In fact, I used one problem in my mid-term exam while I was reviewing this book." --Kui Zhang, The American Statistician, November 2013 "... it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels ... Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. ... Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. ... I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier." --Kaushik Ghosh, Journal of Biopharmaceutical Statistics, Vol. 22, 2012 "... a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. ... this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. ... I have recommended the book to some of my graduate students who are studying for their qualifying exams. ... I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations." --Scott Emerson, Biometrics, June 2011, ... it should appeal to a broader audience of anyone interested in mastering the concepts of probability and mathematical statistics at the advanced undergraduate and beginning graduate levels ... Students and instructors of such courses as well as anyone studying on their own to brush up their knowledge of statistical theory will find the book very useful. ... Overall, I like this book very much. The problems are carefully chosen and cover a wide range of real-world applications of biostatistical methods. Instructors and students will find this book to be a good source of supplementary problems for practice. ... I have taught courses in mathematical statistics on several prior occasions and wish a book like this was available earlier. --Kaushik Ghosh, Journal of Biopharmaceutical Statistics, Vol. 22, 2012 ... a fairly extensive collection of problems such as might be used in a senior undergraduate or first year graduate mathematical statistics course aimed at biostatistics majors. ... this book would definitely be of value to students who wanted additional examples and problems related to the material most commonly encountered in a first mathematical statistics course. ... I have recommended the book to some of my graduate students who are studying for their qualifying exams. ... I would also think that it would be of use to instructors who were interested in identifying examples for use in their lectures, homework, or examinations. ... --Scott Emerson, Biometrics, June 2011
Table of Content
Basic Probability Theory Counting Formulas (N-tuples, permutations, combinations, Pascal's identity, Vandermonde's identity) Probability Formulas (union, intersection, complement, mutually exclusive events, conditional probability, independence, partitions, Bayes' theorem) Univariate Distribution Theory Discrete and Continuous Random Variables Cumulative Distribution Functions Median and Mode Expectation Theory Some Important Expectations (mean, variance, moments, moment generating function, probability generating function) Inequalities Involving Expectations Some Important Probability Distributions for Discrete Random Variables Some Important Distributions (i.e., Density Functions) for Continuous Random Variables Multivariate Distribution Theory Discrete and Continuous Multivariate Distributions Multivariate Cumulative Distribution Functions Expectation Theory (covariance, correlation, moment generating function) Marginal Distributions Conditional Distributions and Expectations Mutual Independence among a Set of Random Variables Random Sample Some Important Multivariate Discrete and Continuous Probability Distributions Special Topics of Interest (mean and variance of a linear function, convergence in distribution and the Central Limit Theorem, order statistics, transformations) Estimation Theory Point Estimation of Population Parameters (method of moments, unweighted and weighted least squares, maximum likelihood) Data Reduction and Joint Sufficiency (Factorization Theorem) Methods for Evaluating the Properties of a Point Estimator (mean-squared error, Cramér-Rao lower bound, efficiency, completeness, Rao-Blackwell theorem) Interval Estimation of Population Parameters (normal distribution-based exact intervals, Slutsky's theorem, consistency, maximum-likelihood-based approximate intervals) Hypothesis Testing Theory Basic Principles (simple and composite hypotheses, null and alternative hypotheses, Type I and Type II errors, power, P-value) Most Powerful (MP) and Uniformly Most Powerful (UMP) Tests (Neyman-Pearson Lemma) Large-Sample ML-Based Methods for Testing a Simple Null Hypothesis versus a Composite Alternative Hypothesis (likelihood ratio, Wald, and score tests) Large-Sample ML-Based Methods for Testing a Composite Null Hypothesis versus a Composite Alternative Hypothesis (likelihood ratio, Wald, and score tests) Appendix: Useful Mathematical Results References Index Exercises and Solutions appear at the end of each chapter.
Copyright Date
2010
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Yes
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