Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by A. A. Sveshnikov (PDF)

Description

Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐It requires a good ton of previous knowledge. The problems are excellent and worth knowing. Some of the terms the author uses are very old but this book is printed in 60’s.

⭐Instructors and students alike will find here a real treasure of exercises in probability and statistics. A broad range of topics is covered. Solutions for typical examples are provided at the start of each section. Apart from the more than 1000 problems (the answers and solutions to all of which are provided at the back), the book contains problems both simple and challenging. I personally found some of the latter most fascinating.

⭐Actually, I really like this book. I realised that it can be used as a text itself. It can used with advanced probability and math stats courses or in graduated courses. I highly recommend this book.

⭐I am enjoying working through this book. Each section contains several worked examples, and problems, which supposedly correlate with the examples. In several situations, though, there is a simpler solution than following the example. Unfortunately, this is only one of several problems. For instance: * Asks that you prove a statement, which is usually false (A’B u B’A = A’ n B’). Only one found so far. * Some solutions don’t exactly correspond with the questions (i.e . the numbers used in the solution are different from the question.) Easily recognized. * Ambiguous wording of problems (what is the difference between a boat moving “along a bay” vs. “across the same bay”?) This could be due to poor translation. Very frustrating. (And really why I can’t give this book five stars) * Some complex problems have an answer, but no solution, so you aren’t sure if the mistake is yours or the book’s. * Different notation. (Uses D and M rather than E and Var) Easily adapted to.Despite these problems, I am finding working through these problems to be a very rewarding experience. Solving Buffon’s needle problem was definitely the highlight of my day.

⭐A comprehensive statistical problems compendium intended to guide the user to the practical nuances of statistics. The problems develop a strong intuition that prepare the reader for the theoretical aspects of probability and statistics.

⭐good

⭐Buenos problemas.

⭐

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