The Central Limit Theorem (CLT), and the concept of the sampling distribution, are critical for understanding why statistical inference works. There are at least a handful of problems that require you to invoke the Central Limit Theorem on every ASQ…

Stat2.2x Probability(概率)课程由加州大学伯克利分校(University of California, Berkeley)于2014年在edX平台讲授. PDF笔记下载(Academia.edu) Summary Standard Error The standard error of a random variable $X$ is defined by $$SE(X)=\sqrt{E((X-E(X))^2)}$$ $SE$ measures the rough size…

7.3 The Sampling Distribution of the Sample Mean population:1000:Scale are normally distributed with mean 100 and standard deviation 16 sample:4:可以得到样本均值的分布图如下: 与通过公式计算得到的mean 和 标准差一致:μx¯ = μ = 100 and σx¯ = σ/√n = 16/√4 = 8; 由图可知The histogram is sha…

基本概念 样本空间: 随机试验E的所有可能结果组成的集合, 为E的样本空间, 记为S 随机事件: E的样本空间S的子集为E的随机事件, 简称事件, 由一个样本点组成的单点集, 称为基本事件 对立事件/逆事件: 若A并B=S, 且A交B=空, 则称A与B互为逆事件, A与B互为对立事件. A上面加一横即A的逆事件 频率: 在相同的条件下进行了n次试验, 事件A发生的次数为A的频数, 与n的比值成为A的频率 概率: 设E为随机试验, S是E的样本空间, 对于E的每一个事件A赋予一个实数, 记为P(A…

[原文链接:http://engineering.richrelevance.com/recommendations-thompson-sampling/.] [本文链接:http://www.cnblogs.com/breezedeus/p/3775339.html,转载请注明出处] Recommendations with Thompson Sampling 06/05/2014 • Topics: Bayesian, Big data, Data Science by Sergey Fel…

Awesome Courses  Introduction There is a lot of hidden treasure lying within university pages scattered across the internet. This list is an attempt to bring to light those awesome courses which make their high-quality material i.e. assignments, lect…

Inferential Statistics Generalizing from a sample to a population that involves determining how far sample statistics are likely to vary from each other and from the population parameter. Sampling Distribution The sampling distribution of a statistic…

Sampling and Estimation Sampling Error Sampling error is the difference between a sample statistic(the mean, variance, or standard deviation of the sample) and its corresponding population parameter(the true mean, variance, or standard deviation of t…

Basics of Probability Probability density function (pdf). Let X be a continuous random variable. Then a probability distribution or probability density function (pdf) of X is a function f(x) such that any two numbers a and b with That is, the probabi…

Two Types of Estimation One of the major applications of statistics is estimating population parameters from sample statistics. There are types of estimation: Point Estimate: the value of sample statistics Point estimates of average height with multi…