best probability books

Go to: Workshop. For a programmer, he can only learn accumulated and read some excellent books at work, but cannot learn much really needed in school, we can work better only by combining practice and theory. Today, with the development and change of technology, every developer should take the initiative to read books to learn programming skills and change programming methods in order to cope with various c

For a programmer, he can only learn accumulated and read some excellent books at work, but cannot learn much really needed in school, we can work better only by combining practice and theory. Today, with the development and change of technology, every developer should take the initiative to read books to learn programming skills and change programming methods in order to cope with various complex projects a

Ivan and microhard agreed to use a simpler criteria --- Ivan shocould find at least one bug in each subsystem and at least one bug of each category. Macrosoft knows about these plans and it wants to estimate the time that is required for Ivan to call its program disgusting. it's important because the company releases a new version soon, so it can correct its plans and release it quicker. nobody wocould be interested in Ivan's opinion about the reliability of the obsolete version. A bug found in

I. PGM Figure from: http://blog.sina.com.cn/s/blog_5980285201011z75.html Ii. Reasoning Based on the probability graph model. Example: For example, if a message is sent through a noisy channel, the information is composed of 0 and 1. Due to the noisy, each bit has a probability of 20% error. Due to the characteristics of the sent signal, the probability of 1 fol

1. birthday paradox How many people must be in a room to make the chance of two people having the same birthday reach 50%? 1) Probability Analysis Assume n = 365 days a year, The probability that two people's birthdays fall on a fixed number of days R is 1/N * 1/n = 1/N ^ 2 The probability of two people's birthdays falling on the same day is N * 1/N ^ 2 = 1/n Not

Test instructionshave s system, n kinds of bugs, Xiao Ming every day to find a bug, may be any one system, may be any kind of bug, that is, a system bug probability is 1/s, is a certain bug probability is 1/n.Ask him to find the bug,n of the s system, the desired number of days.AnalysisCalculate expected e=∑ all possible days * probabilitiesFind s system n bug, need minimum max (s,n) days, and the possible

Weather conditionsTime limit:2000/1000 MS (java/others) Memory limit:65536/32768 K (java/others)Total submission (s): 638 Accepted Submission (s): 257Problem description If we divide the weather into rainy days, cloudy and sunny 3 kinds, the probability of conversion between a given variety of weather, such as rainy day conversion to rainy days, cloudy and sunny the probability of 0.4,0.3,0.3 respectively.

This article mainly introduces Python's use of the random and tertools modules to solve some classic probability problems. This article describes the use of the random and tertools modules to solve the problems of goat door, playing cards, and birthday paradox, for more information, see Common functions in the random module The code is as follows: Random ()Returns a real number within the range [0, 1;Uniform (a, B)Returns a real number in the range [

Python uses the random and tertools modules to solve some typical Probability Problems. Common functions in the random ModuleCopy codeThe Code is as follows:Random ()Returns a real number within the range [0, 1;Uniform (a, B)Returns a real number in the range [a, B;Randint (a, B)Returns an integer in the range [a, B;Choice (sequence)Returns an element in the sequence. The sequence is an ordered sequence, such as list, string, or tuple;Randrange ([star

Markov process: The Markov process is divided into three kinds according to whether the state and time parameters are continuous or discrete: 1. The time and the state are all discrete called Markov chains, 2. Time and state are called Markov processes continuously, 3. Time continuous, state discrete Markov chain called continuous time. The Markov process is characterized in that the state of the process in the T-time (T>T0) is related only to the moment T0 when the process is in a known condit

Maximum likelihood estimation MLE Given a bunch of data, if we know it is randomly taken out of a distribution, we do not know the specific parameters of the distribution, that is, "the model has been set, the parameter is unknown." For example, for linear regression, we assume that the sample is subject to a normal distribution, but does not know the mean and variance, or for logistic regression, we assume that the sample is subject to two-item distribution, but does not know the mean, the logi

Original: http://www.cnblogs.com/orchid/p/4067042.html1, a stick, cut into three sections, the probability of the formation of a triangle is how much?2, throw a six-side dice, continuous throw until 6, ask how many times you want to throw?3, a wooden barrel inside a m white ball, every minute from the bucket randomly take out a ball painted red (whether white or red are red) and then put back, ask the bucket of the ball all the expected time to paint

D-joyfulTime limit:1000MS Memory Limit:65536KB 64bit IO Format:%i64d %i64 U SubmitStatusDescriptionSakura have a very magical tool to paint walls. One day, KAc asked Sakura-to-paint a wall that looks like an $M \times n$ matrix. The wall have $M \times n$ squares in all. The whole problem we denotes $ (x, y) $ to is the square at the $x $-th row, $y $-th column. Once Sakura has determined-squares $ (x_1, Y_1) $ and $ (x_2, y_2) $, she can use the magical tool-to-paint all the square s in the

ActivationTime limit:20000/10000 MS (java/others) Memory limit:32768/32768 K (java/others)Total Submission (s): 1842 Accepted Submission (s): 689Problem DescriptionAfter 4 years ' waiting, the Game "Chinese Paladin 5" finally comes out. Tomato is a crazy fan, and luckily he got the first release. Now he's at home and ready to begin his journey.But before starting the game, he must first activate the product on the official site. There is too many passionate fans that the activation server cannot