PDF version PMF A discrete random variable $X$ is said to have a Poisson distribution with parameter $\lambda > 0$, if the probability mass function of $X$ is given by $$f(x; \lambda) = \Pr(X=x) = e^{-\lambda}{\lambda^x\over x!}$$ for $x=0, 1, 2, \cd…

Poisson Distribution Given a Poisson process, the probability of obtaining exactly successes in trials is given by the limit of a binomial distribution (1) Viewing the distribution as a function of the expected number of successes (2) instead of the…

Poisson distribution - Wikipedia https://en.wikipedia.org/wiki/Poisson_distribution Jupyter Notebook Viewer http://nbviewer.jupyter.org/github/nicolewhite/notebooks/blob/master/Poisson.ipynb Basics The Poisson distribution is popular for modelling th…

title: [概率论]5-4:泊松分布(The Poisson Distribution) categories: - Mathematic - Probability keywords: - Poisson Distribution - Poisson Processes toc: true date: 2018-03-28 15:40:55 Abstract: 本文介绍Poisson分布相关知识 Keywords: Poisson Distribution 开篇废话 前面这几个分布包括今天…

老师留个小作业,用EXCEL做不同lambda(np)的泊松分布图,这里分别用EXCEL,Python,MATLAB和R简单画一下. 1. EXCEL 运用EXCEL统计学公式,POISSON,算出各个数据,作图.资料参考这里. =POISSON.DIST(B$1,$A2,0) 注意这里绝对引用的方式,写完公式之后,直接上下左右拖动鼠标即可自动填充.之后插入图表.如下. 2.Python 这里stats.poisson.pmf中的pmf是probability mass function(概率质…

The Basics of Probability Probability measures the amount of uncertainty of an event: a fact whose occurence is uncertain. Sample space refers to the set of all possible events, denoted as . Some properties: Sum rule: Union bound: Conditional probabi…

The zero-inflated negative binomial – Crack distribution: some properties and parameter estimation Zero-inflated models and estimation in zero-inflated Poisson distribution Count data and GLMs: choosing among Poisson, negative binomial, and zero-infl…

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…

以下是几种常见的离散型概率分布和连续型概率分布类型: 伯努利分布(Bernoulli Distribution):常称为0-1分布,即它的随机变量只取值0或者1. 伯努利试验是单次随机试验,只有"成功"(1)或"失败"(0)这两种结果.假如某次伯努利实验成功的概率为p,失败的概率为q=1-p,那么实验成功或失败的概率可以写成:. 伯努利分布的期望: 伯努利分布的方差: 二项分布(Binomial Distribution):用以描述n次独立的伯努利实验中有x次成功的…

Basis(基础): SSE(Sum of Squared Error, 平方误差和) SAE(Sum of Absolute Error, 绝对误差和) SRE(Sum of Relative Error, 相对误差和) MSE(Mean Squared Error, 均方误差) RMSE(Root Mean Squared Error, 均方根误差) RRSE(Root Relative Squared Error, 相对平方根误差) MAE(Mean Absolute Error, 平均绝…