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…

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…

Case Study The case study Physicians' Reactions sought to determine whether physicians spend less time with obese patients. Physicians were sampled randomly and each was shown a chart of a patient complaining of a migraine headache. They were then as…

1.Normal distribution In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and…

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…

Matrix and Determinant Let C be an M × N matrix with real-valued entries, i.e. C={cij}mxn Determinant is a value that can be computed from the elements of a square matrix. The determinant of a matrix A is denoted det(A), det A, or |A|. In the case of…

贝叶斯统计推断 后验分布与充分性 无信息先验下的后验分布 共轭先验(conjugacy)下的后验分布 其中,正态分布的共轭先验推导过程,典型且重要. (1) 当方差已知时,均值(prior: 高斯分布)参数的后验分布 - 高斯分布 (2) 当均值已知时,方差(prior: 逆伽马分布)参数的后验分布 - 逆伽马分布 (3) 当均值和方差皆未知时,它们(prior: 正态 - 逆伽马分布)的后验分布分别是 - 均值:t分布 & 方差: 逆伽马分布 贝叶斯统计决策 后验分布结合损失函数:一般损失函数…

机器学习中的统计学方法. 从机器学习的核心视角来看,优化(optimization)和统计(statistics)是其最最重要的两项支撑技术.统计的方法可以用来机器学习,比如:聚类.贝叶斯等等,当然机器学习还有很多其他的方法,如神经网络(更小范围).SVM. 机器学习约等于统计+优化,它可以看作是一个方法,用来进行模式识别或数据挖掘.但对于统计和运筹学这俩门基础学科来说,又是应用(见下面四类问题),它大量地用到了统计的模型如马尔可夫随机场(Markov Random Field--MRF),最后…

In statistics and in statistical physics, Gibbs sampling or a Gibbs sampler is aMarkov chain Monte Carlo (MCMC) algorithm for obtaining a sequence of observations which are approximated from a specifiedmultivariate probability distribution (i.e. from…

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…

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…

Introduction In statistics, the Wishart distribution is generalization to multiple dimensions of the chi-squared distribution (卡方分布), or, in the case of non-integer degrees of freedom, of the gamma distribution. It is a family of probability distribu…

如上图所示,计算区间[a  b]上f(x)的积分即求曲线与X轴围成红色区域的面积.下面使用蒙特卡洛法计算区间[2  3]上的定积分:∫(x2+4*x*sin(x))dx # -*- coding: utf-8 -*- import numpy as np import matplotlib.pyplot as plt def f(x): return x**2 + 4*x*np.sin(x) def intf(x): return x**3/3.0+4.0*np.sin(x) - 4.0*x*n…

In this Document   Purpose   Questions and Answers   What kind of statistics do the Automated tasks collect   How do I revert to a previous set of statistics?   Does the automatic statistic collection jobs populate CHAIN_CNT?   11g+ Automatic Mainten…

Wireshark一个强大的功能在于它的统计工具.使用Wireshark的时候,我们有各种类型的工具可供选择,从简单的如显示终端节点和会话到复杂的如Flow和IO图表.本文将介绍基本网络统计工具.包括:捕捉文件摘要(Summary),捕捉包的层次结构(Protocol Hirarchy), 会话(Conversations), 终端节点(Endpoints), HTTP. 更多信息 Summary: 从statistics菜单,选择Summary: 如下图的截屏所示,你会看到: File: 捕捉…

1.基本采样算法(Basic Sampling Algorithms) 1.1.标准概率分布(Standard distributions) 1.2.拒绝采样(Rejection sampling) 1.3.可调节的拒绝采样(Adaptive rejection sampling) 1.4.重要采样(Importance sampling) 1.5.采样-重要性-重采样(Sampling-importance-resampling) 1.6.采样与EM算法(Sampling and EM alg…

常用的数据挖掘&机器学习知识(点) Basis(基础): MSE(MeanSquare Error 均方误差),LMS(Least MeanSquare 最小均方),LSM(Least Square Methods 最小二乘法),MLE(Maximum LikelihoodEstimation最大似然估计),QP(QuadraticProgramming 二次规划), CP(ConditionalProbability条件概率),JP(Joint Probability 联合概率),MP(Mar…

7.1 Sampling Error; the Need for Sampling Distributions 样本均值的三种表达: Sampling distribution of the sample mean  Distribution of the variable x¯  Distribution of all possible sample means of a given sample size 用样本估计总体是有难度的,即使样本数非常少(population为1000sample…

https://www.quora.com/How-do-I-learn-machine-learning-1?redirected_qid=6578644   How Can I Learn X? Learning Machine Learning Learning About Computer Science Educational Resources Advice Artificial Intelligence How-to Question Learning New Things Lea…

Relevant Readable Links Name Interesting topic Comment Edwin Chen 非参贝叶斯   徐亦达老板 Dirichlet Process 学习目标:Dirichlet Process, HDP, HDP-HMM, IBP, CRM Alex Kendall Geometry and Uncertainty in Deep Learning for Computer Vision 语义分割 colah's blog Feature Visu…

Reading Note : Parameter estimation for text analysis 暨LDA学习小结 原文:http://www.xperseverance.net/blogs/2013/03/1744/ 伟大的Parameter estimation for text analysis!当把这篇看的差不多的时候,也就到了LDA基础知识终结的时刻了,意味着LDA基础模型的基本了解完成了.所以对该模型的学习告一段落,下一阶段就是了解LDA无穷无尽的变种,不过那些不是很有用了…

以前看的国外的一篇文章,用代码解释word2vec训练过程,觉得写的不错,转过来了 原文链接 http://nbviewer.jupyter.org/github/dolaameng/tutorials/blob/master/word2vec-abc/poc/pyword2vec_anatomy.ipynb Hashed Vocabulary In the C implementation, the vocab is a combination of hashed vocabulary and…

更多来自:   www.vipcoursea.com   Ethics 部分 Objective of codes and standard:永远是为了maintain public trust in 1.Financial market  2.Investment profession 6个code of ethics 1.Code 1—ethics and pertinent d persons a. 2.Code 2---primacy of client’s interest a.Int…

Multiple Regression What is multiple regression? Multiple regression is regression analysis with more than one independent variable. It is used to quantify the influence of two or more independent variables on a dependent variable. The general multip…

Comes from: https://www.analyticsvidhya.com/blog/2017/05/questions-python-for-data-science/ Python is increasingly becoming popular among data science enthusiasts, and for right reasons. It brings the entire ecosystem of a general programming languag…

数学似宇宙,韭菜只关心其中实用的部分. scikit-learn (sklearn) 官方文档中文版 scikit-learn Machine Learning in Python 一个新颖的online图书资源集,非常棒. 机器学习原理 Bayesian Machine Learning 9. [Bayesian] “我是bayesian我怕谁”系列 - Gaussian Process[ignore] 随机过程 [Scikit-learn] 1.1 Generalized Linear Mo…

Course descriptionWith the continuing advances of geographic information science and geospatialtechnologies, spatially referenced information have been easily and increasinglyavailable in the past decades and becoming important information sources in…

    WTF is computer vision? Posted Nov 13, 2016 by Devin Coldewey, Contributor   Next Story   Someone across the room throws you a ball and you catch it. Simple, right? Actually, this is one of the most complex processes we've ever attempted to compr…

Conjugate prior relationships The following diagram summarizes conjugate prior relationships for a number of common sampling distributions. Arrows point from a sampling distribution to its conjugate prior distribution. The symbol near the arrow indic…

Learning from Imbalanced Classes AUGUST 25TH, 2016 If you’re fresh from a machine learning course, chances are most of the datasets you used were fairly easy. Among other things, when you built classifiers, the example classes werebalanced, meaning t…