Bayesian Modeling

數(shù)學(xué)函數(shù)Markdown寫法 :

1. https://www.cnblogs.com/fr-ruiyang/p/11317074.html

2.?https://blog.csdn.net/qq_35451572/article/details/80303228

3. https://blog.csdn.net/weixin_45459911/article/details/106711996? ?\hat{\beta}


關(guān)于筆記,因?yàn)槠綍r上數(shù)學(xué)lecture的習(xí)慣,我習(xí)慣于和他人一樣,邊閱讀,邊記筆記,但這樣很不專注。

理解數(shù)學(xué),和摘抄重點(diǎn),這兩者無法同時兼顧,但又生怕錯過任何一點(diǎn)。

先理解,再摘抄重點(diǎn),看似是一件更加專注且高效的行為,但實(shí)際上要花去更多的時間。

這樣的行為對我本身不利,但這是有意義的。


與其看數(shù)學(xué)公式,看這些符號如何擺,擺在哪里,這些其實(shí)毫無意義,

不如去理解其中抽象的概念,數(shù)學(xué)家其實(shí)也只是把符號隨便亂擺,這樣看起來方便一些罷了,

如果不理解概念是不可能會做題的,哪怕背下來也是如此,題目只是為了幫助理解概念。


布里斯托大學(xué):Bayesian Modelling 和 《貝葉斯統(tǒng)計(jì)》

Program

? Chapter 1: Introduction -〉《貝葉斯統(tǒng)計(jì)》第一章

? Chapter 2: Decision theory and Bayesian inference -》《貝葉斯統(tǒng)計(jì)》4-5章

? Chapter 3: From prior information to prior distribution-》《貝葉斯統(tǒng)計(jì)》4-5章

? Chapter 4: Hypothesis testing and credible sets-》《貝葉斯統(tǒng)計(jì)》第二章

? Chapter 5: Introduction to Markov chain Monte Carlo methods-》《貝葉斯統(tǒng)計(jì)》第七章

? Chapter 6: Bayesian networks-〉 未知

? Chapter 7: Hierarchical models-》懷疑在3.5“多層先驗(yàn)”

? Chapter 8: Bayesian asymptotics-〉

? Chapter 9: Model Choice

References

? Chapter 2:

– Chapters 2 and 4 of Robert, C. (2007). The Bayesian choice: from decision-theoretic foundations to computational implementation. Springer Science & Business Media.

? Chapter 3:

– Chapter 3 of Robert, C. (2007). The Bayesian choice: from decision-theoretic foundations to

computational implementation. Springer Science & Business Media.

? Chapter 4:

– Chapter 5 of Robert, C. (2007). The Bayesian choice: from decision-theoretic foundations to

computational implementation. Springer Science & Business Media.

? Chapter 5:

– Chapters 6 and 7 of Robert, C., & Casella, G. (2013). Monte Carlo statistical methods.

Springer Science & Business Media.

– Chapter 1 of Norris, J. R. (1998). Markov chains (No. 2). Cambridge university press.

? Chapter 6:

– Ruggeri, F., Faltin, F., & Kenett, R. (2007). Bayesian networks. Encyclopedia of Statistics in

Quality And Reliability.

? Chapter 7:

– Chapter 10 of Robert, C. (2007). The Bayesian choice: from decision-theoretic foundations to

computational implementation. Springer Science & Business Media.

– Chapter 10 of Lunn, D., Jackson, C., Best, N., Spiegelhalter, D., & Thomas, A. (2012). The

BUGS book: A practical introduction to Bayesian analysis. Chapman and Hall/CRC.

? Chapter 8:

– Kleijn, B. J. K., & Van der Vaart, A. W. (2012). The Bernstein-von-Mises theorem under

misspecification. Electronic Journal of Statistics, 6, 354-381.

– Chapter 1 of Ghosh J.K.,& Raamoorthi (2003). Bayesian Nonparamterics. Springer Series in

Statistics.

? Chapter 9:

– Chapter 7 of Robert, C. (2007). The Bayesian choice: from decision-theoretic foundations to

computational implementation. Springer Science & Business Media.

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