100 books like Modern Mathematical Statistics with Applications

By Jay L. DeVore, Kenneth N. Berk,

Here are 100 books that Modern Mathematical Statistics with Applications fans have personally recommended if you like Modern Mathematical Statistics with Applications. Shepherd is a community of 9,000+ authors and super readers sharing their favorite books with the world.

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Book cover of The Mathematical Theory of Communication

Chris Conlan Author Of Algorithmic Trading with Python: Quantitative Methods and Strategy Development

From my list on mathematics for quant finance.

Who am I?

I am a financial data scientist. I think it is important that data scientists are highly specialized if they want to be effective in their careers. I run a business called Conlan Scientific out of Charlotte, NC where me and my team of financial data scientists tackle complicated machine learning problems for our clients. Quant trading is a gladiator’s arena of financial data science. Anyone can try it, but few succeed at it. I am sharing my top five list of math books that are essential to success in this field. I hope you enjoy.

Chris' book list on mathematics for quant finance

Chris Conlan Why did Chris love this book?

While studying computer networks, Claude Shannon did something pretty impressive. He reformulated the majority of classical statistics from scratch using the language and concepts of computer science. 

Statistical noise? There’s a new word for that; it’s called entropy. Also, it turns out it is a good thing, not a bad thing because entropy is equal to the information content or a data set. Tired of minimizing the squared error of everything? That’s fine, minimize the log of its likelihood instead. It does the same thing. This book challenges the assumptions of classical statistics in a way that fits neatly in the mind of a computer scientist. As a quant trader, this book will help you understand and measure the information content of data, which is critical to your success.

By Claude E. Shannon, Warren Weaver,

Why should I read it?

2 authors picked The Mathematical Theory of Communication as one of their favorite books, and they share why you should read it.

What is this book about?

Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.


Book cover of The Elements of Statistical Learning: Data Mining, Inference, and Prediction

Chris Conlan Author Of Algorithmic Trading with Python: Quantitative Methods and Strategy Development

From my list on mathematics for quant finance.

Who am I?

I am a financial data scientist. I think it is important that data scientists are highly specialized if they want to be effective in their careers. I run a business called Conlan Scientific out of Charlotte, NC where me and my team of financial data scientists tackle complicated machine learning problems for our clients. Quant trading is a gladiator’s arena of financial data science. Anyone can try it, but few succeed at it. I am sharing my top five list of math books that are essential to success in this field. I hope you enjoy.

Chris' book list on mathematics for quant finance

Chris Conlan Why did Chris love this book?

This book might as well be called Introduction to machine learning, and it is probably one of the only books truly deserving of the title. Did you know neural networks have been used for decades to scan checks at the bank? They are called Boltzman Machine. Have you ever heard of how decision trees were used in old-school data mining? You could only get them from proprietary software packages from the early 2000s.

In quant trading, you will constantly face compute power constraints, so it is invaluable to understand the mathematical foundations of the most old-school machine learning methods out there. Researchers 20 years ago used to do a lot of impressive work with a lot less computing power.

By Trevor Hastie, Robert Tibshirani, Jerome Friedman

Why should I read it?

2 authors picked The Elements of Statistical Learning as one of their favorite books, and they share why you should read it.

What is this book about?

This book describes the important ideas in a variety of fields such as medicine, biology, finance, and marketing in a common conceptual framework. While the approach is statistical, the emphasis is on concepts rather than mathematics. Many examples are given, with a liberal use of colour graphics. It is a valuable resource for statisticians and anyone interested in data mining in science or industry. The book's coverage is broad, from supervised learning (prediction) to unsupervised learning. The many topics include neural networks, support vector machines, classification trees and boosting---the first comprehensive treatment of this topic in any book.

This major…


Book cover of Probability: The Science of Uncertainty: With Applications to Investments, Insurance, and Engineering

Chris Conlan Author Of Algorithmic Trading with Python: Quantitative Methods and Strategy Development

From my list on mathematics for quant finance.

Who am I?

I am a financial data scientist. I think it is important that data scientists are highly specialized if they want to be effective in their careers. I run a business called Conlan Scientific out of Charlotte, NC where me and my team of financial data scientists tackle complicated machine learning problems for our clients. Quant trading is a gladiator’s arena of financial data science. Anyone can try it, but few succeed at it. I am sharing my top five list of math books that are essential to success in this field. I hope you enjoy.

Chris' book list on mathematics for quant finance

Chris Conlan Why did Chris love this book?

Everyone knows what probability is, and we all understand how a coin flip works, but not everyone can explain the optimal betting strategies for a roulette table. We don’t study probability to understand the likelihood of events. We study probability to understand the expected outcomes of business processes that depend on those events.

In other words, this book won’t just teach you about probabilities, it will teach you about business strategies associated with those probabilities. It will help you answer a question like: How do I maximize the profit on this life insurance policy, given this set of survival probabilities? It isn’t just a likelihood question, it is a business question. I highly recommend that anyone studying probability does so through an actuarial lens.

By Michael A. Bean,

Why should I read it?

1 author picked Probability as one of their favorite books, and they share why you should read it.

What is this book about?

This book covers the basic probability of distributions with an emphasis on applications from the areas of investments, insurance, and engineering. Written by a Fellow of the Casualty Actuarial Society and the Society of Actuaries with many years of experience as a university professor and industry practitioner, the book is suitable as a text for senior undergraduate and beginning graduate students in mathematics, statistics, actuarial science, finance, or engineering as well as a reference for practitioners in these fields. The book is particularly well suited for students preparing for professional exams, and for several years it has been recommended as…


Book cover of Introduction to Modern Nonparametric Statistics

Chris Conlan Author Of Algorithmic Trading with Python: Quantitative Methods and Strategy Development

From my list on mathematics for quant finance.

Who am I?

I am a financial data scientist. I think it is important that data scientists are highly specialized if they want to be effective in their careers. I run a business called Conlan Scientific out of Charlotte, NC where me and my team of financial data scientists tackle complicated machine learning problems for our clients. Quant trading is a gladiator’s arena of financial data science. Anyone can try it, but few succeed at it. I am sharing my top five list of math books that are essential to success in this field. I hope you enjoy.

Chris' book list on mathematics for quant finance

Chris Conlan Why did Chris love this book?

This is one of my favorite underappreciated statistics books of all time. Non-parametric statistics can be otherwise described as statistics without assumptions. The entire goal of this field of study is to prove X is greater than Y without making any assumptions about the underlying distributions of X or Y. The methods are different, and they require more data than other methods, but the learning journey is invaluable.

I personally believe that modern machine learning is simply the modeling section of the school of non-parametric statistics. Working through this book will give you a much deeper understanding of why tools like decision trees are so valuable. It will also to teach you to design rigorous numerical experiments on data sets that are beyond the help of classical statistics.

By James J. Higgins,

Why should I read it?

1 author picked Introduction to Modern Nonparametric Statistics as one of their favorite books, and they share why you should read it.

What is this book about?

Guided by problems that frequently arise in actual practice, James Higgins' book presents a wide array of nonparametric methods of data analysis that researchers will find useful. It discusses a variety of nonparametric methods and, wherever possible, stresses the connection between methods. For instance, rank tests are introduced as special cases of permutation tests applied to ranks. The author provides coverage of topics not often found in nonparametric textbooks, including procedures for multivariate data, multiple regression, multi-factor analysis of variance, survival data, and curve smoothing. This truly modern approach teaches non-majors how to analyze and interpret data with nonparametric procedures…


Book cover of Exploratory Data Analysis

Danyel Fisher Author Of Making Data Visual: A Practical Guide to Using Visualization for Insight

From my list on to inspire you to think differently about data.

Who am I?

In sixth grade, my teacher tried to teach the class how to read line charts – and something fell into place for me. Ever since then, I’ve tried to sort data into forms that we can use to make sense of it. As a researcher at Microsoft, I consulted with teams across the organization – from sales to legal; and from Excel to XBox – to help them understand their data. At Honeycomb, I design tools for software operations teams to diagnose their complex systems. These books each gave me an “ah-hah” moment that made me think differently about the craft of creating visualization. They now sit on my shelf in easy reach – I hope you find them fascinating too.

Danyel's book list on to inspire you to think differently about data

Danyel Fisher Why did Danyel love this book?

I learned Tukey’s name about as soon as I learned that data visualization existed as more than a menu in Excel and a personal obsession. Tukey coined the term “exploratory data analysis,” and so tapped into a passion for swimming around in all the interesting rows and columns. Tukey was working before computers were widespread, and so I got a view of how he saw data: working against the constraints of pencil and paper; keeping your hand moving as fast as possible. While the explorations we can do with gigabytes of memory and powerful rendering are very different, the goal of getting information into your head as fast as possible is unchanged.

By John Tukey,

Why should I read it?

1 author picked Exploratory Data Analysis as one of their favorite books, and they share why you should read it.

What is this book about?

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearson.com/statistics-classics-series for a complete list of titles.


The approach in this introductory book is that of informal study of the data. Methods range from plotting picture-drawing techniques to rather elaborate numerical summaries. Several of the methods are the original creations of the author, and all can be carried out either with pencil or aided by hand-held calculator.


0134995457 / 9780134995458 EXPLORATORY DATA ANALYSIS (CLASSIC VERSION), 1/e


Book cover of Kendall's Advanced Theory of Statistics, Distribution Theory

David J. Hand Author Of The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day

From my list on statistics from a statistician.

Who am I?

When people ask me why I became a statistician, and what its attraction is, I simply tell them that, using statistics, I have been on voyages of discovery and travelled to worlds they didn’t know existed. Using data and statistical methods instead of light and optics, I have seen things others could not imagine. Like an explorer of old, I have joined adventures peeling back the mysteries of the world around us. In my books on statistics, data science, data mining, and artificial intelligence, I have tried to convey some of this excitement, and to show the reader how they too can take part in this wonderful modern adventure.

David's book list on statistics from a statistician

David J. Hand Why did David love this book?

This is a wonderful book because it says it all. Of course, that’s an exaggeration because no book could possibly encompass the vast breadth of modern statistics, but anyone who read through this multi-volume work would have an enviable knowledge of the discipline. It’s an unsurpassed general source of information about the foundational concepts and tools of statistics, and a reference source I regularly turn to when I need to remind myself of the theory underlying a concept or method.

Book cover of Essentials of Statistics for Business & Economics

Chet Richards Author Of Certain to Win

From my list on upsetting your orientation.

Who am I?

I never had a real career. Closest I came was the Air Force Reserve for 27 years. Along the way, I built fighter-vs-fighter computer models for the Defense Department, served as an advisor to a Saudi Air Force prince, led a team that designed a replacement for the Air Force’s A-10 tankbuster (which was never built, unfortunately), sold C-130 transport aircraft in Saudi Arabia, taught statistics in business school, became a yoga instructor, and did PR work in Atlanta. Starting in 1975, I collaborated a little with a retired Air Force colonel, John Boyd, creator of the infamous “OODA loop.” I was never a published author in the US, although I am in India, Portugal, and Japan. 

Chet's book list on upsetting your orientation

Chet Richards Why did Chet love this book?

Here’s some bad news for non-STEM people: You’re going to have to learn a little about statistics. Otherwise, at some point, you going to get, as Nassim Nicholas Taleb puts it, “fooled by randomness.” An example: Suppose you’ve been a sales manager for a long time but recently you failed to close a string of prospects. How unusual is this? It could be just a run of bad luck, or is it time to make some significant personnel moves? Basic knowledge of statistics can help. If your math is rusty, you might want to take a stat course for non-math majors. Otherwise, here’s a book that I used with my MBA students that features scenarios from businesses.  

By David R. Anderson, Dennis J. Sweeney, Thomas A. Williams , Jeffrey D. Camm , James J. Cochran

Why should I read it?

1 author picked Essentials of Statistics for Business & Economics as one of their favorite books, and they share why you should read it.

What is this book about?

Discover how statistical information impacts decisions in today's business world as Anderson/Sweeney/Williams/Camm/Cochran/Fry/Ohlmann's leading ESSENTIALS OF STATISTICS FOR BUSINESS AND ECONOMICS, 9E connects concepts in each chapter to real-world practice. This edition delivers sound statistical methodology, a proven problem-scenario approach and meaningful applications that reflect the latest developments in business and statistics today. More than 350 new and proven real business examples, a wealth of practical cases and meaningful hands-on exercises highlight statistics in action. You gain practice using leading professional statistical software with exercises and appendices that walk you through using JMP (R) Student Edition 14 and Excel (R) 2016.…


Book cover of Statistics and Data Analysis for Financial Engineering: With R Examples

Ernest P. Chan Author Of Quantitative Trading: How to Build Your Own Algorithmic Trading Business

From my list on quantitative trading for beginners.

Who am I?

A noted quantitative hedge fund manager and quant finance author, Ernie is the founder of QTS Capital Management and Predictnow.ai. Previously he has applied his expertise in machine learning at IBM T.J. Watson Research Center’s Human Language Technologies group, at Morgan Stanley’s Data Mining and Artificial Intelligence Group, and at Credit Suisse’s Horizon Trading Group. Ernie was quoted by Bloomberg, the Wall Street Journal, New York Times, Forbes, and the CIO magazine, and interviewed on CNBC’s Closing Bell program. He is an adjunct faculty at Northwestern University’s Master’s in Data Science program and supervises student theses there. Ernie holds a Ph.D. in theoretical physics from Cornell University.

Ernest's book list on quantitative trading for beginners

Ernest P. Chan Why did Ernest love this book?

I have used this book to teach my Financial Risk Analytics course at Northwestern University for many years. As a textbook, it is surprisingly easy to read, and the abundant exercises are great. This would be a foundational text to read after you have read my own books. It puts you on solid ground to understand all the financial babble that you may read elsewhere. It includes extensive coverage of most basic topics important to a serious quantitative trader, while not being overly mathematical. Easily understandable if you have basic programming and math background from first year of university.

Everything is practical in this book, which isn’t what you would expect from a textbook! There is no math for math’s sake. I have used the techniques discussed in this book for real trading, and for creating features at my machine learning SaaS predictnow.ai. Examples: What’s the difference between net…

By David Ruppert, David S. Matteson,

Why should I read it?

1 author picked Statistics and Data Analysis for Financial Engineering as one of their favorite books, and they share why you should read it.

What is this book about?

The new edition of this influential textbook, geared towards graduate or advanced undergraduate students, teaches the statistics necessary for financial engineering. In doing so, it illustrates concepts using financial markets and economic data, R Labs with real-data exercises, and graphical and analytic methods for modeling and diagnosing modeling errors. These methods are critical because financial engineers now have access to enormous quantities of data. To make use of this data, the powerful methods in this book for working with quantitative information, particularly about volatility and risks, are essential. Strengths of this fully-revised edition include major additions to the R code…


Book cover of The Tiger That Isn't: Seeing Through a World of Numbers

Karen C. Murdarasi Author Of Why Everything You Know about Robin Hood Is Wrong: Featuring a pirate monk, a French maid, and a surprising number of morris dancers

From my list on challenging your preconceptions.

Who am I?

As a writer and historian, I’m all about rabbit holes. When something I’ve never heard about before catches my interest, I have to find out more—and sometimes I end up writing whole books on the subject! I have a head full of bizarre little nuggets of information, and I love reading books, like the ones here, that tell me something new and change my way of thinking. 

Karen's book list on challenging your preconceptions

Karen C. Murdarasi Why did Karen love this book?

A book on statistics that is interesting? Yes, actually. And The Tiger that Isn’t is more than just interesting, it’s useful. Maths was never my strong point at school, but even someone who never got the hang of quadratic equations can learn to ask useful questions when faced with bamboozlingly large numbers and dodgy ‘averages’. 

This book offers a way to see through statistics that are used to conceal information as much as to reveal it. It’s worth reading just for the section on rice and random distribution. And the tiger in the title? It’s what happens when you think you see a pattern (in this case, stripes in the undergrowth), but there is no pattern at all. 

By Michael Blastland, Andrew Dilnot,

Why should I read it?

1 author picked The Tiger That Isn't as one of their favorite books, and they share why you should read it.

What is this book about?

Mathematics scares and depresses most of us, but politicians, journalists and everyone in power use numbers all the time to bamboozle us. Most maths is really simple - as easy as 2+2 in fact. Better still it can be understood without any jargon, any formulas - and in fact not even many numbers. Most of it is commonsense, and by using a few really simple principles one can quickly see when maths, statistics and numbers are being abused to play tricks - or create policies - which can waste millions of pounds. It is liberating to understand when numbers are…


Book cover of The Numbers Game: The Commonsense Guide to Understanding Numbers in the News, in Politics, and in Life

Tim Harford Author Of The Data Detective: Ten Easy Rules to Make Sense of Statistics

From my list on think clearly about data.

Who am I?

Tim Harford is the author of nine books, including The Undercover Economist and The Data Detective, and the host of the Cautionary Tales podcast. He presents the BBC Radio programs More or Less, Fifty Things That Made The Modern Economy, and How To Vaccinate The World. Tim is a senior columnist for the Financial Times, a member of Nuffield College, Oxford, and the only journalist to have been made an honorary fellow of the Royal Statistical Society.

Tim's book list on think clearly about data

Tim Harford Why did Tim love this book?

I should declare an interest here: I present a BBC Radio show that Blastland and Dilnot created. This book was effectively my “how to” manual on the way into the studio that they had vacated. It’s a wise and varied guide to the power and the pitfalls of data, poetically written and full of subtle wisdoms.

By Michael Blastland, Andrew Dilnot,

Why should I read it?

1 author picked The Numbers Game as one of their favorite books, and they share why you should read it.

What is this book about?

The Strunk and White of statistics team up to help the average person navigate the numbers in the news

Drawing on their hugely popular BBC Radio 4 show More or Less, journalist Michael Blastland and internationally known economist Andrew Dilnot delight, amuse, and convert American mathphobes by showing how our everyday experiences make sense of numbers.

The radical premise of The Numbers Game is to show how much we already know and give practical ways to use our knowledge to become cannier consumers of the media. If you've ever wondered what "average" really means, whether the scare stories about cancer…


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