best books on probability

School Gate, four mobile phone tail number pick up the courier. Q: There is a \ (n\) package, there are two package numbers (the recipient phone tail number, assuming uniform distribution ) the same probability of (P (n) \) is how much?Answer: Mobile phone tail number a total (10^4=10000\), so \ (P (n) =\frac{a_{10000}^n}{(10000) ^n} \), where \ (a_n^r\) is the number of permutations.The expression is very simple, but the calculation of the value of t

Reprint please indicate the source: Http://my.csdn.NET/ye_shen_wei_mian Recently in an open source code to contact the probability density function, the probability density function is normal (Gaussian) distribution, is based on boost library implementation, very easy to use. This function is explained by the official website: PDF (my_dist, x); Returns PDF (density) at point x of distribution my_dist.As fo

Lottery algorithms need to meet the requirements as follows: 1. Can control the probability of winning 2. Having randomness 3. It is best to control the number of prizes 4. According to user ID or IP, mobile phone number, QQ number and other conditions to limit the number of lottery Early on these needs, and then according to the information on the Internet, using a phase-type extraction method, we look at the whole of the following procedures:

Description Organizing a programming contest is not an easy job. To avoid making the problems too difficult, the organizer usually expect the contest result satisfy the following S: -All of the teams solve at least one problem. -the champion (one of those teams that solve the most problems) solves at least a certain number of problems. Now the organizer have studied out the contest problems, and through the result of preliminary contest, the organizer Can estimate the

Objective About this algorithm may (certainly) have been invented, but I, my friends, my teacher before this is not know and can not think out, if you do not know, then include you: In this range was first proposed should be regarded as "invention"!! increase, reduce the probability of random pumping-my good friend Dippen three years ago an algorithm, I now take out to flourish. This algorithm can be used for random problem-solving, gambling machine

Maximum likelihood estimation MLEGiven a bunch of data, if we know that it was randomly taken out of a certain distribution, we don't know the specific parameter of the distribution, i.e. "the model is determined and the parameters are unknown".For example, for linear regression, we assume that the sample is subject to a normal distribution, but we do not know the mean and variance, or for logistic regression, we assume that the sample is subject to two distributions, but we do not know the mean

Based on the PHP code to achieve the winning probability algorithm can be used for scraping cards, large turntable and other lottery algorithm, Large turntable winning probability algorithm in our daily life, often encountered, then based on the PHP code is how to achieve the winning probability algorithm, the following through a code example to introduce the

Finish writing this question and quickly open a new question ...Say this question let me re-turn the probability of the textbook, sure enough, and then returned to the teacher, no eggs.Many people take this great God's work, and I share it with you.For a brief explanation of the formula here. Because I also understand for a while to understand.TIPs:1. Set D[i] to have the expected value of the bonus after I answer the first question correctly. 2,

The probabilistic graphical model series is explained by Daphne Koller In the probabilistic graphical model of the Stanford open course. Https://class.coursera.org/pgm-2012-002/class/index) Main contents include (reprinted please indicate the original source http://blog.csdn.net/yangliuy) 1. probabilistic Graph Model Representation and deformation of Bayesian Networks and Markov networks. 2. Reasoning and inference methods, including Exact Inference (variable elimination, clique trees) and appro

The probabilistic graphical model series is explained by Daphne Koller In the probabilistic graphical model of the Stanford open course. Https://class.coursera.org/pgm-2012-002/class/index) Main contents include (reprinted please indicate the original source http://blog.csdn.net/yangliuy) 1. probabilistic Graph Model Representation and deformation of Bayesian Networks and Markov networks. 2. Reasoning and inference methods, including Exact Inference (variable elimination, clique trees) and

Time limit per Test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard output The Dragon and the princess are arguing about what to do on the New Year's Eve. the dragon suggests flying to the mountains to watch fairies dancing in the moonlight, while the princess thinks they shoshould just go to bed early. they are desperate to come to an amicable agreement, so they decide to leave this up to chance. They take turns drawing a mouse from a bag which initially containsWWhi

In the algorithm introduction book see a more interesting probability algorithm, here add their own understanding to share under: The last time I just saw the friends of the circle said:" two people in the same dormitory, and the same year, the same day, this fate is really drunk ", I was drunk, looked at the algorithm after the discovery, the house has a person, then you can The probability of 50% birthda

The seventh section random interval function exercises Title: Assuming that the probability of the function f () is randomly returning a floating-point number on the [0,1] range, we know that the probability of the occurrence of the numbers on the [0,x] interval is x (0 Idea: Call K times and return a larger number. Equivalent to the Bernoulli test, the number in the [0,x] interval appears in the

Being a senior programmer proficient in Linux programming has always been a goal pursued by many friends. According to Chinahr statistics, the average monthly salary for Linux programmers in Beijing is 1.8 times times that of Windows programmers and 2.6 times times for Java programmers, and Linux programmers are averaging 2.9 times times the year-end bonuses for Windows programmers. At the same time, the data show that with the increase of working experience, the income gap between Linux program

1. Two-item distribution (discrete)ImportNumPy as NP fromSciPyImportStatsImportMatplotlib.pyplot as Plt" "# Two distributions (binomial distribution) # Prerequisites: Independent repetition Test, back-up, only two results # Two distributions indicate that the probability of event A in a random experiment is p, then the probability of K event A in repeated n trials is: # f (n,k,p) = Choose (n, k) * P**k * (1

Title Link: http://poj.org/problem?id=2151Test instructionsACM Competition, a total of M-Questions, T-team, Pij said that team I solved the probability of the first questionAsk each team to solve at least one problem and the championship team to at least solve the probability of the n problemAnalysis:It is easy to think of the probability of obtaining:It is easy

Scout yyf I Time limit:1000 ms Memory limit:65536 K Total submissions:3723 Accepted:928 Description Yyf is a couragous scout. now he is on a dangerous mission which is to penetrate into the enemy's base. after overcoming a series difficulties, yyf is now at the start of enemy's famous "Mine Road ". this is a very long road, on which there are numbers of mines. at first, yyf is at step one. for each step after that, yyf will walk one step with

Today, I wrote the last article to end this series. We know a lot about it.AlgorithmThe steps for solving the problem are fixed, and the probability algorithm selects random values at each step, In some fields, problems are usually less time-efficient than the optimal choice, which greatly improves the efficiency of the algorithm and reduces the complexity. I. Thoughts Here we will mainly talk about the "numerical

Walk Problem descriptioni used to think I cocould be anything, but now I know that I couldn't do anything. So I started traveling. The nation looks like a connected bidirectional graph, and I am randomly walking on it. it means when I am at node I, I will travel to an adjacent node with the same probability in the next step. I will pick up the Start Node randomly (each node in the graph has the same probability