---
# System prepended metadata

title: 202109 MathStat
tags: ['teach:MS']

---

---
title: 202109 MathStat
tags: teach:MS
---
# 202109 Math Stat

:::success
This handout is prepared by Prof. [Huei-Wen Teng](https://hackmd.io/cxnJOabrRQaLDY7w68_3MA) for the fall semester, 2021. Previously offered in Falls of 2017, 2018, 2019, 2020. 
:::



## Links

| Type| Description | 
|---|---|
| Link| [助教 Office Hours] 星期一三 19:00~21:00 | 
| Vedio| [已整理](https://drive.google.com/drive/folders/1kPg9SKbdOLuUjZVZeSY_FaHZXDvALszM?usp=sharing), [未整理](https://drive.google.com/drive/folders/16Y6XGv6dr6Hs1-vWTCyLOmiygXtla_4Q?usp=sharing) | 
| Jambaord| [一開始](https://jamboard.google.com/d/1qxeSneMmztobYDJN3XjVW6wqnLnYdmWl1HwS2fHmuIg/viewer?f=2), [10/26](https://jamboard.google.com/d/1AENO2v9d1Uh7MLluvipPSByL5Hvi8P0MqxF0kzM7k2o/viewer?f=1), [11/6](https://jamboard.google.com/d/12zx_pUJ0NBTBHzfrHX_WFZfqEnZQPYZiWsDhAVElZzE/viewer?f=0)



Unless otherwise specified, we will follow the following table for the schedule and homework assignments throughout this semester.

## Part I: 同步線上課程

|	No	|	Date	|	Topic	|	Hw	|	Assignment	|
|---|---|-----|---|-----|
|	1	|	9/14	|	Chapter 1 |	H1	|	C1: 1, 6, 15, 21, 25, 27, 33	 |
|		|		|	Ch1. Probabiliy	|	
|	2	|	9/21	|	No class (中秋節)	|		|		|
|	3	|	9/28	|	C1. Conditional probabilities, independence, discrete RV	|	H2	|	C1: 36, 37, 47, 49, 50, 55, 64, 74, 77	|
|	4	|	10/5	|	[Chapter 2](https://hackmd.io/6Z7hQyNwSy62W32x_rAl5Q)	|	H3	|	C2: 1, 3, 6, 7, 10, 21, 26, 31, 35, 40.	|
|		|		|	C2. Discrete RV, continuous RV	|		|	|
|	5	|	10/12 	|	C2. Function of random variables	|	H4	|	C2: 45, 48, 49, 51, 53, 54, 55,	|
|	6	|	10/19	|	[Chapter 3](https://hackmd.io/bmFwN0Y-Rv21LXJl2XJHVw)	|	H5	|C2: 59, 60, 64, 67, 72. |
|		|		|	C3. Joint and conditional distributions.	|		| C3: 1, 3, 7, 9. |
|	7	|	10/26	|	C3. Bayesian inference, sum and quotions, general cases	|	H6	|C3: 12, 13, 16, 17, 18, 27, 35, 43, 46, 47, 48, 51, 52.	|
|	8	|	11/2	|	[Chapter 4](https://hackmd.io/34LcoFlYQseLzOnrI0aC9w?both)	|	H7 (不用交)	|	C3.6: 59, 62, 64|
|||C4.1. The expected value of a random variable||C3.7: 77, 79|
|		|		|	|		|	C4.1: 6 (a-c), 18, 19, 25, 31 |
|		|		|		|		|	Reading: Examples A, B, C, E, F, G 	|
|	9	|	11/9	|	[Exam 1](https://hackmd.io/ZVxLV13zQMOgtlLfvf3__g)||
|	10	|	11/16	|	自主學習 |		|
||11/19| 13:20-16:20 office hours, M415|
|11|11/23| [元宇宙未來領袖訓練營](https://hackmd.io/bepJtfQ0Rg6tI94_p6p5Xw) |


## Part II: 實體授課 M102

|Week|Date |Description| Homework|
|---|---|---|---|
|	12	| 11/30	|[Chapter 4](https://hackmd.io/34LcoFlYQseLzOnrI0aC9w?both) 	|Hw8. 
||| C4.2. Covariance and stadard deviation| C4.2: 42, 43. 
||| C4.3. Covariance and correlation| C4.3: 48, 52*, 54
|13|12/7||Hw9.|
||| C4.4. Conditional Expectations and predictions| C4.4: 63, 64. 
||| C4.5. Moment generating functions	|	C4.5: 79, 80, 85, 89
|14|12/14	|[Chapter 5](https://hackmd.io/WLYNYR7yS6mW-bXMmSzFfg). Law of large numbers and central limit theorem	|Hw 10. 
|||5.1: Introduction  | C5. 19, 23. 
|||5.2: The Law of Large Numbers| C5. 13, 16, 17, 18, 30.
|||5.3: Convergence in Distribution and the Central Limit Theorem|
|15		|	21	|	[Chapter 6](https://hackmd.io/UNousWNbShqqsLCFsD0Vqw). Distributions derived from normal distributions	 |Hw 11. (不用交) |
|||6.1 Introduction|C6: 3, 5, 6, 11. |
|||6.2 $\chi^2$, $t$, and $F$ distribution|
|||6.3 The sample mean and the sample variance|
|15|12/21|[Chapter 8](https://hackmd.io/arG3RluISY-tGsDC1TlELw). Estimation of parameters and fitting of probability distributions| C8: 4abc, 5abc, 7ab, 20, 54, 57a.
|||8.4 The method of moments|
|||8.5 The method of maximum likelihood|
|	16	|	12/28	|	Exam 2	|		|		|
|	17	|	1/4	|	Discussions (by appointment)	|		|		|
|	18	|	1/11	|	Discussions (by appointments)	|		|		|



<!--|||8.1 Introudction |
|||8.2 Fitting the poisson distribution to Emissions of alpha particles|
|||8.3 Parameters estimation|
|||8.6 The Bayesian approach to parameter estimation -
|||8.7 Efficiency and the Cramer-Rao lower bound|
|||8.8 Sufficiency|
->

### Further topics

Due to time limits, we will not cover the following. 

||| Chapters|
|--|---|---|
|||9. Hypothesis testing. H13|C9: 1, 3, 4, 5, 7, 9, 23, 26|

### emoji

|Emoji| Description|
|---|---|
|:apple:| great to know
| :construction: | under construction|


