Probability Theory (first steps)

We now come to a small booklet by E. S. Wentzel titled Probability Theory (first steps).

The back cover of the book says:

The author of this booklet describes in popular language how probability theory was developed and found wide application in all fields of modern science. This book can be considered as an introduction towards a more thorough study of probability theory and is intended for a wide circle of readers.

This book has a translation in Tamil titled நிகழ் தகவுக் கோட்பாடு
(தொடக்கப் படிகள்) thanks to Senthil for helping with this. I do not know about translations in other Indian languages

Many thanks to Al-Kap-Ro () for making this book available.

The book was translated from the Russian by N. Deineko and was first published by Mir in 1982, followed by a second print in 1986.

You can get the book here. and here

Tamil translated version here and here

Contents are as under

Contents
Probability Theory and Its Problems 6
Probability and Frequency 24
Basic Rules of Probability Theory 40
Random Variables 57
Literature 87

#applications #frequency #probability #problems #randomVariables #tamil #theory #wentzel

Hi Fediverse!

Do you happen to know any good textbooks for learning probability and statistics?

Asking for a friend! Their area of interest is "Random variables: theory and applications."

Thanks on advance and kindly boost for reach.
#bookstodon
#programming
#probability
#statistics
#BookRecommendations
#RandomVariables

Studying weakly dependent #randomvariables with polynomial decay in autocovariance, we prove optimal $n^{-1/2}$ Berry-Esseen bounds for self-normalized partial sums. Surprisingly, optimal estimators for long-run variance don't hit this bound, debunking a common belief. However, simple over-smoothing techniques can restore this optimal convergence rate. Applications span diverse dynamical systems and time series models #Optimization

Now (7pm ET Wed) watch https://youtu.be/QS0VmCD9YLU(FEEL FREE TO SUBSCRIBE TO YOUTUBE
@hajiaghayi
FOR FUTURE LESSONS) Lesson 14: Introduction to Algorithms by Mohammad Hajiaghayi: We talk about #Probability (Part 2) useful for designing #randomized #algorithms

#algorithms, #design, #induction, #recursive, #randomizedalgorithms, #probability, #randominput ,
#probabilitytheory, #randomvariables, #expectations, #variance, #Bernoulli, #Binomial, #Poisson, #Normaldistribution, #Gaussian, #Python, #numpy.random, #scipy.stats, #correlation, #Pearson, #spearman, #geeksforgeeks , #hackerrank, #leetcode, #cs, #computerscience

Lesson 14: Introduction to Algorithms by Mohammad Hajiaghayi: Introduction to Probability Part 2

YouTube