Mathematical Statistics II

Spring 2025

Course Info ～歡迎來到由 YES 主持的數理統計學課程網站～

Syllabus

Lectures: M. 1300-1400, R. 1300-1500 @ SE A210

Instructor: Yu-Ling Tseng.

Office Hours: T. 1200~1300 R. 1500~1600@SE A409

Prerequisites: Probability Theory, Statistics

TA: 蔡念秤 M. 15:00~16:00 @ SE 412 吳雨瑾 T. 11:00~12:00 @ SE B302

～有問題要多多請教助教喔

數學小天地 ～～討論各類數學相關問題的好地方～～

Class Notes

學期只有 17 周上課時間，學校行事曆18周的彈性補課。。。。。

我們就

星期一、四都 13 點整開始上課～～大家一起加油喔～

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數統（－）期末考考題

Solution

********

考試時，若同學需要，會提供以下密度函數表供同學參考

密度函數表

0424（R）期中考成績枝葉圖

總分：120 修課/ 應考人數：38/33

0 | 555999
1 | 13567
2 | 24567
3 | 14557
4 | 178
5 | 024
6 | 8
7 |
8 |
9 | 3
10 | 1379

Q1: 15 Q2: 31 Q3: 50

Mean: 38.88 s.d.: 31.75

以上，不計缺考

註：成績顏色帶代表：紅色是警告區，黃色是小心後通行區，綠色是安全通行區

（就像紅綠燈號誌呀）

Assignments (No late homework is allowed.)

Date	Hand-in Problems	Due Date
0508	Probelms are given here.	0515
0417	13.8 #4, 7, 9 13.8 #5, 8 and Question: It is often assumned that scores of a course are normally distributed. Test this claim for our MathStat(2) midterm #1 (20210513) data, at level 0.05. FYI: R to do GOF with one mathstat1 midterm where average score is 35.93 s.d. s=27.	0424 期中考，這份作業請練習但不用交。 More ex on contingency table
0410	13.5. #1, 2 (use the equal-tailed test) , 3, 4, 5 13.6. #1, 2, 4, 5, 7 (Use the equal-tailed test for problem 1, 2) (10 problems in total)	0417
0327	13.4. #2 # 1, 2, 3, 4 given in Problems , and 13.7. #1 (i, ii, iii), 3 (7 problems in total)	0410
0320	13.3. # 7, 8, 9, 10 （注意：這些題目有些部份是要同學練習利用CLT求得檢定或求特定power要求下的樣本數。。。。。。。以後，除非題目要求用CLT，所有數統MP/UMP/UMPU題目都要以題目所給的密度函數做喔） (4 problems in total)	0327
0313	13.2. #2 13.3. #1, 2, 4, 5, 6, 12 (7 problems in total)	0320
0306	Problems given here and 13.2 #1,4, 5, 6, 7. (9 problems in total)	0313
0227	Problems are given here.	0306

20250217 First day of class

Textbook: A course in mathematical statistics. 2/e By G. G. Roussas

Reference: Statistical Inference. By Casella and Berger (1990, 2002)

Course Grade

Homework (10%) Midterms (45%) Final (45%)

References

Roussas, G. G. (1997). A Course in Mathematical Statistics 2/e. San Diego, CA: Academic Press. (Textbook).
Casella, G. and Berger,"R. L. (1990). Statistical Inference. Pacific Drove, CA: Wadsworth.
Rohatgi, V. K. (1976). An Introduction to Probability Theory and Mathematical Statistics, Wiley and Sons.
Lehmann, E. L. (1991). Theory of point estimation. Pacific Grove, Calif.: Wadsworth & Brooks/Cole.

統計之路

Last modified: 050715
yltseng@mail.ndhu.edu.tw