泊松分布
二项分布的特殊情况
泊松分布(Poisson distribution)是二项分布的极限情况。适用于描述单位时间内随机事件发生的次数的概率分布，比如某网站在一定时间内收到请求的次数，某一路口车祸发生的次数，DNA序列发生突变的次数等。统计泊松分布的表达式为：
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👨🏻🔬 Peisen Sun (孙培森)
I was born in Shaanxi Province, China, and have worked as a software engineer. During my undergraduate studies, I focused on the identification and analysis of genomic coding sequences, while in graduate school, I engaged in algorithm development related to multi-omics. I welcome exchanges with people from different fields.
Outside of work, my hobbies include fitness, cycling, and playing video games (in Age of Empires IV, I specialize in using the Chinese, Ottoman, and Knights Templar factions).
🎓 Education
- Ph.D. in Xi’an Jiaotong University, School of Automation Science and Engineering.
- B.S. in Northwest A&F University, College of Innovation and Experiment.
🎯 Focus on
Bioinformatics | Genomics | Single-cell & Spatial omics algorithm
📦 Software
📃 Selected publications
[1] Sun P, Bush S J, Wang S, et al. STMiner: Gene-centric spatial transcriptomics for deciphering tumor tissues[J]. Cell Genomics, 2025, 5(2). (Featured content)
[2] Sun P, Li G. CircCode: a powerful tool for identifying circRNA coding ability[J]. Frontiers in genetics, 2019, 10: 981.
- sunpeisen(at)stu.xjtu.edu.cn
🔗 X/Twitter
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二项分布和负二项分布
伯努利试验的特殊情况
在搞明白二项分布和负二项分布之前，需要明白伯努利试验的概念。 [Read More] -
线性代数（一）
线性代数中的线性方程组
基本概念 线性方程组：线性方程组由一个或者多个包含相同变量 \(x_{1},x_{2},x_{3}...,x_{n}\) 的线性方程组成的。 等价：若两个线性方程组有相同的解集，这两个方程组是等价的。 相容：我们称一个线性方程组是相容的，若他有一个或无穷多个解；称他是不相容的，若他无解。 系数矩阵：线性方程组等号左边所有变量的系数构成的矩阵叫系数矩阵。 增广矩阵：线性方程组等号左边所有变量的系数和等号右边的常数构成的矩阵叫增广矩阵。 [Read More] -
Sample blog post
Each post also has a subtitle
This is a demo post to show you how to write blog posts with markdown. I strongly encourage you to take 5 minutes to learn how to write in markdown - it’ll teach you how to transform regular text into bold/italics/headings/tables/etc. [Read More] -
linear algebra (character 1)
Excerpt from Soulshaping by Jeff Brown
线性代数 \(2^2\)