Essential Probability & Statistics Resources: A Curated Guide for Learners

This article aggregates past posts from the "Model Perspective" public account covering probability and statistics, as well as references for calculus, linear algebra, and mathematical modeling, with direct links to each original article. Future compilations will include Python programming, academic writing, and competition analysis.

Calculus & Linear Algebra References

Mathematics Collection (1) Calculus –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653686474&idx=1&sn=85ffe2a4b4f806082dc1d927d1e15794

Mathematics Collection (2) Linear Algebra –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653686479&idx=1&sn=ff53fb8f5726108ecb5bab62daf7ef96

Mathematical Modeling References

Model Collection (1) Evaluation & Optimization Models –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684842&idx=1&sn=903e5f561f3a68937f56880cd0a2acc6

Model Collection (2) Change & Prediction Models –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684848&idx=1&sn=e1331cd23e511df2607b5c631346b352

Model Collection (3) Explanation & Simulation Models –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684854&idx=1&sn=d3f9cf98a389a61c9099f211d72555ee

Probability & Statistics Articles

Probability & Statistics 01 – Bernoulli, Binomial, Poisson, Exponential Distributions –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653683726&idx=1&sn=020ec3b264cf240fc5548e2ddac3ad15

Probability & Statistics 02 – Normal and Multivariate Normal Distributions –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653683726&idx=2&sn=0e201767b0e199699d73f21b6136d818

Probability & Statistics 03 – Joint and Conditional Probability –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684011&idx=1&sn=0cbd8cfe270232b5266a1fd48faa7765

Probability & Statistics 04 – Bayes Theorem –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684011&idx=2&sn=a670714c2a4ffb13dbde4a2d8290ca79

Probability & Statistics 05 – Basic Concepts & Descriptive Statistics –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684240&idx=1&sn=e62d443c288baf8dfd4050cadfe5b22e

Probability & Statistics 06 – Central Limit Theorem –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684240&idx=2&sn=478c2005b4d2016ec116e37addc00d7d

Probability & Statistics 07 – Large Sample Mean Estimation –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684240&idx=3&sn=134afebd09f1d7f9210a92493d106afc

Probability & Statistics 08 – Small Sample Mean Estimation –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684315&idx=1&sn=43c749aa1c7b13a6ed958515002b6e26

Probability & Statistics 09 – Basic Hypothesis Testing Procedure –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653684315&idx=2&sn=1938256d0a5dc9f1f26eaafe04682f47

Probability & Statistics 10 – Large Sample Proportion Test –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685400&idx=3&sn=ed2049bb5bb98fd9503bd93ab12bf048

Probability & Statistics 13 – Fundamentals of Statistics –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685565&idx=2&sn=66a2c8a36707f8a46db81eec63883750

Probability & Statistics 14 – Computing Statistics with Python –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685567&idx=3&sn=861ca0e30fca7926dbb13c86c91a4419

Probability & Statistics 16 – One‑Way ANOVA –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685570&idx=2&sn=38206a117ddf45c4ef033a023b9fbf04

Probability & Statistics 17 – Two‑Way ANOVA –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685580&idx=2&sn=52bd30c71da260f4d4ca7c1302e532f3

Probability & Statistics 18 – Simple Linear Regression –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685574&idx=2&sn=c4ffd85b96e72d26e0385d1027880256

Probability & Statistics 19 – Probability & Conditional Probability –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685972&idx=2&sn=e489c2eba0cd323e00d0189b07c8545a

Probability & Statistics 20 – Numerical Characteristics of Random Variables –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685974&idx=2&sn=171fe41404eda54586b73765e51d99cc

Probability & Statistics 21 – Three Levels of Independence for Random Variables –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685979&idx=2&sn=428afba81eb34707d2ce0f6b662ada0f

Probability & Statistics 22 – Binary Choice Model –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685981&idx=2&sn=440bb64fb49cb444c59f8770258cb622

Probability & Statistics 26 – Counting Models –

http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==&mid=2653685983&idx=2&sn=4b4f0eb4cc5be083a4eb2fd9dbc6fc60