Kindly note that we have put a lot of effort into researching the best books on Introduction To Mathematical Statistics subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Introduction To Mathematical Statistics" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.
1. “Statistical Inference” by G Casella and B L Berger
“Statistical Inference” Book Review: The book is written from both theoretical as well as practical point of view. The topics like ancillarity, invariance, Bayesian methods, pivots, Stein estimation, errors in variables, and inequalities are discussed in detail. The book highlights practical uses of statistical theory. It enables the readers in deriving reasonable statistical procedures for dealing with different situations and problems. The recent developments in the field of statistics are enlisted in this text. The book will be useful for students and professionals of mathematics.


2. “Probability and Statistics” by M H DeGroot
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“Probability and Statistics” Book Review: The book reflects major aspects and applications of probability and statistics. It also features basic calculus and elementary properties of vectors and matrices. The chapters of this book cover classical and Bayesian methods, simulation, Markov chain, Monte Carlo, Bootstrap, and residual analysis in linear models. For better understanding of the readers, the book consists of several examples. The book will be beneficial for the students dealing with mathematics, probability, and statistics.


3. “Theory of Point Estimation” by E L Lehmann and G Casella
“Theory of Point Estimation” Book Review: The book is an updated and revised piece of work featuring contemporary topics and recent developments in point estimations. The chapters of this book cover all the major topics related to preparations, unbiasedness, equivariance, average risk optimality, minimaxity, admissibility, and asymptotic optimality. Many problems and examples are included in this text for selfstudy and practice of the readers. The Bayesian and hierarchical Bayesian approaches along with simultaneous estimation are discussed in detail. The book also reflects the suggestions and scopes for further study.
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4. “Introduction to Mathematical Statistics” by Robert V Hogg  
5. “Introduction to Mathematical Statistics and Its Applications” by Richard J Larsen and Morris L Marx
“Introduction to Mathematical Statistics and Its Applications” Book Review: The book is a wellstructured and selfcontained text, featuring theoretical aspects of mathematical statistics. The initial section of the book describes topics like probability, random variables, special distribution, estimation, hypothesis testing, and normal distribution. Moving on, types of data, twosample interferences, goodnessoffit tests, regression, analysis of variance, randomized block design, and nonparametric statistics are thoroughly explained. Each chapter consists of several examples. The book highlights the application of statistical methods while reinforcing calculus. To give better practical knowledge and relatable content to the readers realworld data and many case studies are included in this book.


6. “An Introduction to Statistical Learning: with Applications in R” by Gareth James and Daniela Witten
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“An Introduction to Statistical Learning: with Applications in R” Book Review: The book presents a thorough review on the field of statistical learning. It reflects many essential modeling and prediction techniques along with relevant applications. The topics like linear regression, classification, resampling methods, shrinkage approaches, treebased methods, support vector machines, and clustering are thoroughly explained. The applications, implementation, and uses of the featured methods and techniques are described in a readerfriendly manner. To give the book’s content visual support illustrations, color graphics and realworld examples are included. The book will be suitable for the practitioners in fields of science and industry. The statisticians and nonstatisticians seeking deep knowledge in statistical learning techniques will find this text helpful.


7. “Introduction to Mathematical Statistics” by Paul G Hoel
“Introduction to Mathematical Statistics” Book Review: The book is an excellent blend of both theoretical aspects and applications of statistics. The chapters of this book cover all the major topics related to probability, probability distributions, sampling theory, correlation and regression, statistical inference, testing goodness of fit, small sample distributions, and statistical design. Many methods underlying statistics namely, nonparametric methods, empirical methods, and statistical methods are introduced in this text. For better illustration of featured concepts several problem sets are mentioned throughout the book.


8. “Statistical Inference” by George Casella
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“Statistical Inference” Book Review: The book aims at presenting fundamental statistical concepts for deriving reasonable statistical procedures in order to deal with a variety of situations. The chapters of this book are based on random number generation, simulation methods, bootstrapping, EM algorithm, and pvalues. The advanced topics like logistic regression and robust regression are explained efficiently. The practical uses and applications of statistical theory are clearly mentioned in this book. The development of statistical inference using techniques, definitions, and concepts is addressed in this text. The content of this book is clearly illustrated with the help of examples. The book will be a good resource for firstyear graduate students majoring in statistics.


9. “Introduction to the Practice of Statistics” by David S Moore and George P McCabe
“Introduction to the Practice of Statistics” Book Review: The book is a fully updated and revised edition reflecting latest topics and recent research in statistics. The chapters of this book are quite efficient and describe each topic and concept in proper steps. The book stresses on data analysis and critical thinking. The applications of statistics in various professions and fields are highlighted in this text. It also lays an emphasis on the use of computers and calculators for problem solving. The book will be an ideal resource for students of mathematics as well as statisticians.


10. “Introduction to Probability and Mathematical Statistics” by Lee J Bain and Max Engelhardt
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“Introduction to Probability and Mathematical Statistics” Book Review: The book presents a wellstructured theoretical introduction to probability and mathematical statistics. The chapters of this book are selfcontained and feature all the essential topics and major aspects of probability as well as mathematical statistics. For better understanding of the readers, many realistic exercises and examples are featured in this book. The topics like sampling distributions, sequential tests, regression, and linear models are discussed in detail. The book will be valuable for students of mathematics as well as the individuals interested in probability and statistics.


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