best probability books

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Use probability tree to analyze goat's car problems

ArticleDirectory Yangche Problems Bayesian inference Yangche Problems The Monty Hall problem, also known as Monti Hall, is a famous probability problem. It originated from a video game: If you are a contestant in a game, there are three closed doors in front of you. One is behind a car, and the other two are behind goats. The host knows the situation behind the door, but you don't know. Your goal is to guess which door is b

Probability DP Summary

Probability:POJ 2151There is a T-team, M-problem, give each team to make each problem probability. Find out that each team has at least one problem and the championship team has at least the probability of making n questions.Each team has at least one problem in the opposite incident is that each team to make at most 0 questions. Therefore, each pair must be asked to make 0 probabilities.The odds of a champ

expectation, probability problem in ACM

A simple primer: Click the Open linkSummary of the Great God: Click to open the link zerolockMy topic: Click the Open linkThe problem of probability has been done in the previous period.First, the expectationThe problem of solving expectations is not understood at first. I did a lot of things later.Example: (have put back)In 5 products have 4 pieces of genuine, 1 pieces of defective, from any 2 pieces, which contain the number of genuine numbers for t

PHP winning probability algorithm and large turntable and other lottery algorithms

PHP winning probability algorithm, can be used for scraping cards, large turntable, such as lottery algorithm. The usage is very simple, the code has the detailed annotation explanation, at a glance can understand $proCur) { $randNum = Mt_rand (1, $proSum); if ($randNum $result = $key; Break } else { $proSum-= $proCur; } } Unset ($PROARR); return $result; } /* * Awards Array * is a two-dimensional array that records all the awards info

Equal probability random sampling problem

1. Input contains two integers m and N, where mconsider the integer 0,1,2,..., n-1 in turn, and select each integer with an appropriate random test. By sequentially accessing integers, the output is guaranteed to be orderly. If m=2 and n=5, then the probability of each number chosen should be 2/5. Analysis process: In the 0,1,2,3,4 five numbersFirst encounter 0 o'clock, its choice probability should be 2/5

"Bzoj" 2038: [2009 Country Training team] small Z socks (hose) (combination count + probability + MO team algorithm + chunking)

http://www.lydsy.com/JudgeOnline/problem.php?id=2038Learned the next team, quite the orz of GodFirst of all, if you push the formula, it's easy. For query $[l,r]$$ $ans =\frac{\sum \binom{x_i}{2}}{\binom{r-l+1}{2}}$$Late repair ... Come back to mend.#include    DescriptionAs a rambling person, little Z spends a lot of time every morning looking for a pair to wear from a bunch of colorful socks. Finally one day, Little Z can no longer endure this annoying to find socks process, so he decide

Full probability formula and definite integral (new solution of Bayesian formula)

First, look at the formula of full probability in the traditional sense: P (B) =∑I=1NP (b| AI) P (AI) The P (B) on the left side of the equal sign is a state amount, and the ∑ on the right is a process amount. This representation is consistent with the representation of the integral: F (n) =∫n0f (x) dx In fact, this process volume superposition into the state of the way is so common, so that you can give a few examples, do not say what Newton-Leibniz

How to implement these five kinds of powerful probability distributions in Python

The R programming language has become the standard of fact in statistical analysis. But in this article, I'll show you how easy it is to implement statistical concepts in Python. I'm going to use Python to implement some discrete and continuous probability distributions. Although I will not discuss the mathematical details of these distributions, I will give you some good information on how to learn these statistical concepts in a linked way. Before d

Today I will start learning pattern recognition and machine learning (PRML), Chapter 1.2, probability theory (I)

Original writing. For reprint, please indicate that this article is from:Http://blog.csdn.net/xbinworld, Bin Column Pattern Recognition and machine learning (PRML), Chapter 1.2, probability theory (I) This section describes the essence of probability theory in the entire book, highlighting an uncertainty understanding. I think it is slow. I want to take a look at it and write the blog code, but I want t

[Book]awesome-machine-learning Books

prediction Naturual Language Processing Coursera Course Book on NLP NLTK NLP W/python Foundations of statistical Language processing Probability Statistics Thinking Stats-book + Python Code From algorithms to Z-scores-book The Art of R Programming-book (not finished) All of Statistics Introduction to statistical thought Basic probability theory I

The letter probability----The C language face question in the smart mail

Title DescriptionXiao Ming is very interested in the probability problem recently. One day, Xiao Ming and Xiao Red play a probability game, first Xiao Ming gives a letter and a word, and then by the small red to calculate the probability that the letter appears in this word. Letters are case insensitive.For example, the given letter is a and the word is Apple, th

Maximum likelihood estimation vs max posteriori probability estimation, logistic regression vs Bayes classification

In the course of learning Andrew Ng's machine learning, he thought that he had the maximum likelihood estimate, the maximum posterior probability estimate, and the logistic regression, the Bayesian classification of the shutdown was very clear, but after the school pattern recognition course, my outlook on life completely overturned .... Let me give you a word. First of all, the concept of maximum likelihood (MLE) and maximum posterior

Chapter One basic concepts of probability theory

The learning content of probability theory and mathematical statistics originates from Chinese university MOOC, and the fourth edition of the book "Probability Theory and Mathematical Statistics", Zhejiang University.Random PhenomenaUnder certain conditions, it is possible to have a variety of results, and can not know the result before it happens.Randomised TrialsConcept: Observing, recording and experimen

The fifth chapter of algorithm introduction probability analysis and stochastic algorithm last study questions

5.1 Probability count. Not too clear test instructions. 5.2 (Find an unordered array) the subject will analyze three algorithms that look for a value x in an unordered array a containing n elements. Consider the following stochastic strategy: randomly pick a subscript i, if a[i]=x, then terminate, otherwise, continue to pick a a new random subscript, repeat randomly pick subscript, until we find a subscript j, make a[j]=x, or until we have checked eve

Summary of probability theory knowledge in Machine Learning

I. Introduction Recently I have written many learning notes about machine learning, which often involves the knowledge of probability theory. Here I will summarize and review all the knowledge about probability theory for your convenience and share it with many bloggers, I hope that with the help of this blog post, you will be more comfortable reading machine learning documents! Here, I will only make a sum

[Probability theory] Bayesian Law

Label: How does a style use the SP on BS as application? Basic knowledge description: Joint probability: Definition: refers to the probability that multiple random variables in a probability distribution satisfy their respective conditions at the same time. For example, if both X and Y are normal distributions, P {x Conditional

POJ 1322 chocolate (generating function | | Probability DP)

Title Description Transmission Door The main problem: a pocket of chocolate, chocolate color has c species. Now take out a chocolate from your pocket, if theChocolate is the same color as chocolate on the table, take two chocolates away, or put the chocolate out on the table.The probability of extracting each color of chocolate from the pocket is equally equal. To remove the n chocolate and the remaining M-G on the tableThe

[Application of reservoir sampling] How to Select k elements from n elements with equal probability

How to Select k elements from n elements with equal probability? This problem is a reservoir sampling. The algorithm can be described as follows: Init: A reservoir with the size: K ForI = k + 1ToN M = random (1, I ); If (M SwapTheMThValueAndIThValue End Someone has provided proof on the Internet and first forwarded it: [Switch] Proof: Each time it is selected based on the probability of K/IFor example, i

Some of the math books recommended by Lindahua

Some of the math books recommended by LindahuaTransferred from: http://dahua.spaces.live.com/default.aspx1. linear algebra (Linear Algebra): I think the domestic college students will learn this course, but not every teacher can carry out its essentials. This discipline is necessary for learning, and it is essential for its thorough mastery. I studied this course when I was in the first year of Hkust, and after I arrived in Hong Kong, I read the line

Php lottery program winning probability algorithm-PHP Tutorial

The algorithm for winning the lottery program written in php. Php lottery program winning probability algorithm this article will share with you the php lottery probability algorithm, which can be used for scratch cards, big turntable and other lottery algorithms. The usage is very simple. the code contains detailed comments to the lottery program winning probability

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