Department of Mathematics and Statistics, Binghamton University people:renfrew

people:renfrew:346-16

2019-08-05T10:51:25-04:00

8/29 Section 1a

8/30 Section 1b-e

8/30 Section 1f-g, review problems

9/2 Section 1h

9/6 2a

9/7 2b

9/9 More Chapter 2

9/12 Continue Chapter 2

9/13 Review chapter 1

9/14 Section 1

9/16 Section 1

9/19 Section 3a

9/20 Section 3b/c

9/21 Review for Midterm

9/23 Review for Midterm

9/26 Problems from Section 3a-c

9/27 Midterm 1

9/28 Problems from Section 3a-c

9/30 Sections 3d-e

10/3-4 Holiday

10/5 Section 3d-e

10/7 No class

10/10 Section 3d-e

10/11 Section 3f

10/12 Holiday

10/14 Section 3f

10/17 Section 3g

10/18 Section 3h-3i

10/19 Section 3h-3i

10/21 Section 3j

10/24 Section 4a-c

10/25 Midterm 2

10/26 Section 4a-c

10/28 Section 4a-c

10/31 Section 4d-g

11/1 Discussion of Sections 4a-g

11/2 Section 4d-g and 4h

11/4 Section 4h-i

11/7 Section 4j

11/8 Discussion of Sections 4d-i

11/9 Section 4k

11/11 Section 6a

11/14 Section 6a

11/15 Panel with Actuaries

11/16 Section 6b-d

11/18 Section 6e-f

11/21 Section Finish 6 and review 4

11/22 Midterm 3

11/23 Section 7a-b

11/25 Holiday

11/28 Section 7a-b

11/29 Section 7a-b

11/30 Section 7c

12/2 Section 7d,e,f

12/5 Section 5

12/6 Section 7 and 5

12/7 Section Review

12/8 Section Review

12/13 Final Exam 8-10 in UU120

people:renfrew:346-19

2019-05-01T11:19:54-04:00

Math 346

1/23 - Section 1a(i-v)

1/25 - Section 1a(i-v) Homework: Section 1a(i)-1a(v) #1, 8, 10, 11, 12 & Calculator notes #1

The first quiz will be on Wednesday Jan. 30.

1/28 - Section 1a(vi-ix) Homework: Section 1a(vi)-1a(ix) #4, 7, 10, 11 & Calculator notes #2

1/30 - Section 1a(vi-ix)

2/1 - Section 1b-f Homework: Section 1b-f #5, 6, 8, 9, 12, 17

2/4 - Section 1g Homework Section 1g #3, 5

2/6 - Section 1h No Homework problem, Do Calculator Notes #3

2/8 - Section 1h, 2a Homework Section 1h #3, 6 Section 2a Homework: #10, 11, 14 Calculator Notes #4

2/11 - Section 2a, 2b Homework: Section 2b #5, 9, 13

2/13 - Section 2b

2/15 - Midterm 1. It will cover all of Sections 1 and 2. It will last 1.5 hours and have approximately 15 multiple choice questions, similar to the textbook, but not quite as similar as the quizzes have been. You can only use approved calculators on this exam.

2/18 - Section 3a-b Calculator Notes #5, There will just be one quiz on Friday this week.

2/20 - Section 3a-b Homework: Section 3a-3c #4, 6, 11, 12, 13

2/22 - Section 3c-3d Homework: Section 3d-3f # 6, 11

2/25 - Section 3f Homework: Section 3d-3f # 3, 4, 9, 13, 16, 17

2/27 - Section 3f-3g Homework: Section 3g # 4, 5

3/1 - Section 3h Homework: Section 3h # 3, 5, 11, 13 Note Section 3h is basically just calculator notes, if you don't use a BA calculator you need to guess and check for unknown interest annuity problems.

3/4 - Section 3i Homework: Section 3i # 2, 3

3/6 - Section 4a-c Homework: Section 4a-c # 3, 6, 7, 9, 13, 16

3/8 - Section 4a-d Homework: Section 4d-g # 2, 3, 7

3/11 - Section 4e-g

Second Midterm 3/13 it will cover Chapter 3 and Chapter 4 up to 4g. Class will be 1.5 hours on 3/11 and 3/13. There will be no class on 3/15.

Homework: Due by Friday, March 29 (to be turned in). Do the problems you got wrong on the midterm, solutions must be clearly written, include a time diagram and the corresponding equations of value. You should also include how you solved the problem to help yourself in future studying.

3/25 - Section 4h Homework: Section 4h # 5, 6, 8, 12, 15, 19, 22, 23

3/27 - Section 4h-4i Calculator Notes #6

3/29 - Section 4h-4j Homework: Section 4j # 5, 6, 7

4/1 - Section 4h-4k Homework: Section 4j # 12, 13 and Section 4k 2,4 “Due Friday”

4/3 - Section 4k-4m Homework: Section 4l 1-3

4/5 - Section 5a-c Homework: Section 5a-c #3, 8, 9, 11, 13

4/8 - Section 5c

4/10 - Section 5d-e Homework: Section 5d-e #3, 5, 6, 11, 12

4/12 - Section 6a Calculator notes #7, if you haven't done it yet.

4/15 - Section 6a Homework: Section 6a #4, 6, 8, 9, 11, 17 and Calculator notes #8.

4/17 - Midterm 3, Sections 4h-4m and all of 5

4/19 - Holiday

4/22 - There will be a presentation by actuaries from Columbian Financial Group in Lecture Hall 010. Presentation Slides

4/24 - Section 6b - Homework: Section 6b #2, 4, 7, 11

I posted Midterm 3 on my.courses. There was a problem with 3, 11, 14 and 15, the correction with a comment is posted. Your scores are also posted.

4/26 - Holiday

4/29 - Section 6c - Homework: Section 6c #4, 5, 7

5/1 - Section 6d - Homework: Section 6d #4, 5, 8, 14

5/3 - Section 6 and beginning of 7

5/5 - This week we'll do parts of Section 7 and review. If there are any Sections that you would like more practice with, let me know.

people:renfrew:447-18

2018-05-10T09:33:09-04:00

Math 447- Probability

Office Hours on Tuesday May 8th from 11-12.

Syllabus

Note from UTS tutoring:

Hello MATH 447!

My name is Emmanuel and I am the lead Upper-level Mathematics Tutor for University Tutorial Services. I wanted to inform you that tutoring services are available for MATH 447 as well as the other following upper-level math courses:

MATH 304 MATH 323 MATH 324 MATH 330 MATH 346 MATH 448

You can sign up for appointments on Starfish which is available on your my.binghamton.edu page.

Appointments can hold up to eight people at a time and are available on a first come first serve basis. You must sign up for an appointment on Starfish, otherwise the tutor will not be there. We ask that you come with specific questions or topics that you want to go over.

Additionally, I tutor MATH 346 and MATH 448. If you are unable to sign up for a session that seems like it is available it may be because someone from another course signed up before you. If this is the case, then MATH 447 students will not be able to register for the session.

If you have any questions please redirect them to uts@binghamton.edu. Additionally, if you have any questions about my sessions feel free to email me at edavis15@binghamton.edu.

The Webassign code is: binghamton 9436 8945.

To login into Webwork use your binghamton username (from your email) as your username and password.

You can post questions and discuss the course at the course Piazza site. Note the Piazza site is shared with the other Probability section, so not all policies, homework assignments, exams, etc. will be relevant.

Homework 1- Due Friday Jan 26. The problems assigned on webassign were Chapter 2- 2, 8, 11, 15, 31, 39, 43, 47, 53, 57

Homework 2- Due Friday Feb 2. Turn the above written problems in on Friday. The Webassign problems are due Monday. Your webassign codes have been extended until Feb. 14th. The problems assigned on webassign were Chapter 2- 65, 71, 75, 87, 89, 93, 97, 113, 121

Homework 3- Due Friday Feb 9. Note this week, I'm trying webwork for the online homework.

Homework 4- Due Friday Feb 16.

Homework 5- Due Friday Feb 23.

Homework 6- Due Friday Mar 9. The written part is due now Monday.

Homework 7- Due Friday Mar 16.

Homework 8- Due Friday Mar 23.

Homework 9- Due Friday Mar 30.

Homework 10- **Due Wednesday April 11.**

Homework 11- Due Friday April 27.

Homework 12- Due Friday May 4.

Solutions to the written parts of the first eight homeworks are now on blackboard.

Calendar:

Jan. 17 - Section 2.3-2.4

Jan. 19 - Section 2.4-2.5

Jan. 22 - Section 2.6

Jan. 24 - Section 2.7/8

Jan. 26 - Section 2.9 Homework 1 Due

Jan. 29 - Section 2.10

Jan. 31 - Section 3.2

Feb. 2 - Section 3.3 Homework 2 Due

Feb. 5 - Section 3.4-3.6

Feb. 7 - Snow Day

Feb. 9 - Section 3.6-3.7

Feb. 12 - Section 3.7-3.8

Feb. 14 - Section 3.9

Feb. 16 - Section 3.11 (Note skip 3.10)

Feb. 19 - Finish Section 3.11, midterm review

Feb. 21 - Midterm review and/or start chapter 4

MIDTERM Feb. 23 I have uploaded 2 practice midterms to “myCourses”. They are essentially midterms I given before. We used a different book, so the content and emphasis doesn't exactly line up, but the exams should give you idea of what to expect. I recommend treating them like a practice exams and spending 80 minutes on them. REMARK ON PRACTICE MIDTERMS - pmf stands for probability mass function and means the same thing as distribution function. Midterm 1 info

Feb. 26 - Section 4.1-4.2

Feb. 28 - Section 4.3-4.4

Mar. 2 - Snow Day

Mar. 9 - Section 4.5-4.6

Mar. 12 - Section 4.6-4.7

Mar. 14 - Section 4.8-4.10 Skip 4.11

Mar. 16 - Section 5.2

Mar. 19 - Section 5.3

Mar. 21 - Class canceled

Mar. 23 - Section 5.4

Mar. 26 - Section 5.5/.6

Mar. 28 - Section 5.7-5.8

Mar. 30 - Section 5.8-5.11

Apr. 9 - Section 5.8-5.11

Apr. 11 - Review additional class Apr. 11 from 4:40-6:10 in Old Champlain G102 (next to the math building).

Apr. 13 - Midterm 2

Apr. 16 - Class canceled

Apr. 18 - Section 6.2-3

Apr. 20 - Section 6.4 (Note this class will end early, around 8:45)

Apr. 23 - Section 6.5

Apr. 25 - Section 6.7

Apr. 27 - Section 7.3-7.4 (We'll do student evaluation this day).

Apr. 30 - Section 7.2

Final info

You will be given the following formula sheet

Note: I will be gone May 9 - 16th. I'll have some offices hours before I leave.

Practice Finals have been posted on myCourses. As usual, these are problems I have written for slightly different so some problems might seem harder/easier than originally intended. Also not everything is covered.

people:renfrew:447-19

2019-05-08T19:04:08-04:00

Math 447

*There will an extra OH at 1PM on Friday May 10th.*

To login into Webwork use your Binghamton username (from your email) as your username and password. Webwork link: https://webwork.math.binghamton.edu/webwork2/Math447Spring2019/

Homework:

Homework 1- Due Friday Feb. 1 Note- there appears to have been an error on problem 5 on webwork, it has been corrected.

Homework 2- Due Friday Feb. 8

Homework 3- Due Friday Feb. 15

Homework 4- Due Friday Feb. 22

Homework 5- Due Friday Mar. 1

Homework 6- Due Friday Mar. 15

Homework 7- Due Friday Mar. 29

Homework 8- Due Friday April 5

Homework 9- Due Friday April 12

Homework 10- Due WEDNESDAY April 24

Homework 11- Due Friday, May 3

Homework 12- Due Friday, May 10

Calendar:

1/23 Sections 2.3-4

1/25 Sections 2.3-5

1/28 Section 2.6

1/30 Section 2.6

2/1 Section 2.7-8

2/4 Section 2.8-9

2/6 Section 2.10

2/8 Finished Chapter 2

2/11 Section 3.2

2/13 Section 3.3

2/15 Section 3.4

2/18 Section 3.5

2/20 Section 3.6/7

2/22 Section 3.8

2/25 Section 3.9

2/27 Review

The first midterm is Friday, March 1, 2019.

Practice midterm: Practice midterm

Midterm 1 info

3/4 - Section 3.11, 4.2

3/6 - Section 4.2-4.4

3/8 - Section 4.5

3/11 -Section 4.6

3/13 -Section 4.6-4.9

3/15 -Section 4.10

3/25 - Section 5.2

3/27 - Section 5.3

3/29 - Section 5.4

4/1 - Section 5.5-5.6

4/3 - Section 5.7

4/5 - Section 5.8

4/8 - Section 5.9 and Review

4/10 - Review and maybe 5.11

4/12 Midterm 2, see Blackboard for information

4/15 Section 5.11

4/17 I'll discuss a few problems that we didn't have time for. Nothing new will be covered.

4/22 Section 6.2-6.3

Note: Office Hours are canceled on Wednesday 4/24, email me if you want to meet or we can talk after class.

4/24 Section 6.4

4/26 Holiday

4/29 Section 6.5

5/1 Section 6.7

5/3 Section 7.3

5/6 Section 7.2 and review

5/8 Review

5/10 Review

Practice Final. Solutions are now posted on blackboard.

You will be given the following formula sheet as well as the table for a standard normal.

people:renfrew:447-20

2020-05-11T12:48:26-04:00

Math 447 - Probability

The final is posted on blackboard.

Update 4/21 It seems to me the best way to do online Office Hours is by appointment. So if you want to talk, please send me a message with a few times in the next couple days that you can meet.

Update May 4- A final that I gave before is posted on Blackboard. It should give you an idea of the difficultly of questions and remind you of some of the earlier stuff we covered. The format will be similar to a normal final, with some changes due to the fact that it is not in class. You'll have to 2 hours hours, during the scheduled exam time to complete the exam and then a bit more time to upload it.

Syllabus

Update to the Syllabus (Posted March 16.)

To login into Webwork use your Binghamton username (from your email) as your username and password. Webwork link: https://webwork.math.binghamton.edu/webwork2/Math447Spring2020/

Homework:

Homework 1- Due Friday Jan. 31 Solutions to written part are posted on Blackboard.

Homework 2- Due Friday Feb. 7

Homework 3- Due Friday Feb. 14

Homework 4- Due Friday Feb. 21

Homework 5- Due Friday Feb. 28

Homework 6- Due Monday Mar. 9 (NOTE: I posted a wrong version of the homework on the 28th but fixed it that Saturday morning. If you somehow only saw the first version, and turned that in, please turn your homework back in for regrading.)

Homework 7- Due Friday Mar. 13

Homework 8- Due Friday Mar. 20

Homework 9- Due Friday Mar. 27

Homework 10- Due Friday Apr. 3 (Note 1a, had a typo that made it not a probability distribution, it's fixed now) Homework 10 Hints

Homework 11- Due Friday Apr. 17 Note: On the webwork problems you have until next Tuesday, but turn the written homework in on Friday.

Homework 12- Due Friday Apr. 24 Note: No webwork problems this week.

Homework 13- Due Friday May 1 Update 4/27: I slightly modified problem 2, to make it slightly nicer, you can do either version.

Homework 14 The written problems will not be collected. The webwork problems should be done before May 11.

From now on grades will just be posted on Gradescope (not Blackboard).

Midterm 2 info. Please read carefully, and let me know as soon as possible any issues. Solutions to the practice midterm are posted.

Calendar:

1/22 Sections 2.3-4

1/24 Sections 2.3-5

1/27 Section 2.6

1/29 Section 2.6

1/31 Section 2.7

2/3 Section 2.8

2/5 Section 2.9-10

2/7 Snow Day

2/10 Section 2.9-10

2/12 Section 3.2-3.3

2/14 Section 3.4

2/17 Section 3.5-3.6

2/19 Section 3.7-3.8

2/21 Section 3.8

2/24 Section 3.9

2/26 Section Review

2/28 Midterm 1 Midterm 1 info A practice Midterm is posted on Blackboard
Scores are posted on Blackboard. Log-in to Gradescope to see your exam (You should have gotten an email).

3/2 Section 4.2

3/4 Section 4.3/4.4

3/6 Holiday

3/9 Section 4.5

3/11 Section 4.6

3/13 Section 4.6-4.8

3/16 Section 4.9

3/18 Section 4.10 Updated on 3/20 with a picture.

3/20 Section 5.2 Updated 3/20 to add shading to picture. Updated 3/31 to fix bounds of integration.

3/23 Section 5.3 Updated 3/25, more pictures added, typos corrected

3/25 The last 2 notes were long. So no new notes today. Review Double Integrals.

3/27 Section 5.4

3/30 Section 5.5/5.6 (I forgot to change the title, it's fixed now)

4/1 Section 5.7

4/3 Midterm 2 Midterm 2 info. See message at top of page from tutor. Solutions to the practice midterm are posted.

4/4-4/12 Spring Break

NOTE: 4/14 I accidentally linked the same file for the following notes. It's fixed now.

4/13 Section 5.8 4/16 I've updated these to include more details and explanations. I split it into 2 parts and more explanation is given in the examples in the second half.

4/15 Section 5.9 Note we skip 5.10.

4/17 Section 5.11

4/20 More problems from Chapter 5

4/22 ~~No new notes today~~ Here is a short note on Conditional Expectations. Hopefully it makes it clearer.

4/24 Section 6.2-6.4 Part I

4/27 Section 6.2-6.4 Part II

4/29 ~~No new notes~~ Short remark on functions of a random variable

5/1 Section 6.5

5/4 Section 6.7 The book does a lot in this section, you only need to worry about the minimum and maximum of n independent random variables.

5/11 12:50 Final Final info

Practice Final Problems are posted on Blackboard.

people:renfrew:448-18

2018-12-14T11:55:33-04:00

Grades on the Final are posted and Final grades are posted on my courses.

Math 448- Mathematical Statistics

Syllabus

Practice Final Problems are on my.courses. Solutions have now also been posted. Update: Monday Dec. 10. The other professor wrote some more problems. I posted them too. Second Update: His solutions are also posted on my courses.

Finals Week OH: Monday 3-5 and Tuesday 11-12.

The Final is Wed. Dec 12 at 05:40 PM in AA G008.

Homework:

Homework 1- Due Friday Aug 31.

Homework 2- Due Friday Sept. 7. Some solutions and comments are on mycourses under content.

Homework 3- Due Friday Sept. 14.

Homework 4- Due Friday Sept. 21.

Homework 5- Due Friday Oct. 5. Updated.

Homework 6- Due **Monday** Oct. 15.

Homework 7- Due **Monday** Oct. 22.

Homework 8- Due Friday Nov. 2. Updated.

Homework 9- Due Friday Nov. 9.

Homework 10- Due Friday Nov. 16. (You can turn it in on Monday Nov. 26) Do the Applet exercises, but you can use any program you like to compute the probabilities.

Homework 11- Due Friday Nov. 30.

Homework 12- Due Friday Dec. 7.

Course Schedule:

Aug. 22- 7.1-7.2

Aug. 24- 7.2

Aug. 27- 7.2-7.4

Aug. 29- 7.4,8.2

Aug. 31- 8.3-8.4

Sept. 5- 8.4-8.5

Sept. 7- 8.5-8.6

Sept. 12- 8.6-8.7

Sept. 14- 8.8

Sept. 17- 8.8-8.9

Sept. 21- Review of Chapter 8

Sept. 24- 9.2

Sept. 26- 9.3

Sept. 28- Midterm 1. Some recommended problems are: 8.108, 8.112, 8.114, 8.115, 8.121, 8.123, 8.125, 8.132 Midterm Information

Oct. 1 - 9.3

Oct. 3 - 9.4

Oct. 5 - 9.5

Oct. 8 - 9.5-9.6

Oct. 10 - 9.6-9.7

Oct. 12 - Holiday

Oct. 15 - 9.7

Oct. 17 - 9.7

Oct. 19 - Class Canceled

Midtem 2 Oct. 26th Midterm Information

Oct. 29 - 10.2

Oct. 31 - 10.3

Nov. 2 - 10.4/5

Nov. 5 - 10.6/7

Nov. 7 - 10.8

Nov. 9 - 10.9

Nov. 12 - 10.9 review 10.2-10.9

Nov. 14 - 10.10

Nov. 16 - Snow day

Nov. 19 - I will answer questions, either send them to me before class or ask them during class. I will not prepare any new material.

Nov. 26 10.10

Nov. 28 10.10

Nov. 30 10.11

Dec. 3 10.11

Dec. 5 Review probably

Dec. 7 More Review - I'll do student evaluations on this day

Final Information

Practice Final Problems are on mycourses. Solutions are also posted.

people:renfrew:448-20

2020-05-11T14:12:38-04:00

Math 448- Mathematical Statistics

Syllabus

Update to the Syllabus (Posted March 16.)

Grades are posted on Blackboard.

Update 4/2

Please fill out the Remote Transition Student Survey on myCourses. It is under content.

Update 4/13

I've read through your surveys, it seems most of you find the lecture notes to be an okay substitute, if not ideal substitute for the lectures. I've afraid with the current time arrangements and other factors, I won't be able to make videos that explain things much clearer. If you would like more examples on something, I am happy to write more, but I don't want to write out more examples than necessary for the stuff you do understand.

Some you requested some videos that explain the material and I think the videos here: https://ocw.mit.edu/courses/mathematics/18-650-statistics-for-applications-fall-2016/lecture-videos/ (Lectures 7-11) are relevant. I haven't had a chance to watch them yet, but I skimmed through the slides and it looks about right. Feel free to ask me any questions about these videos.(Update 4/14: I got insomnia last night and watch the first 2.5 videos. He does a good job of explaining all the ideas and why things are done the way they are, but not too many example problems if that's what you're looking for. The order he follows is also a bit different than us, we'll discuss Power of Tests next week.)

As far, as course expectations go, you should be able to do the homework problems. Most of the problems in the book are similar, so you can also try those.

We're actually close to the end of the material. This week we discuss several more hypothesis tests, and then next week we do theoretical aspects of hypothesis tests. After that we'll just review and put everything together.

It seems school will be closed from 3/19 onward, the day before the second midterm is scheduled. We have covered almost all the material that will be on the exam. I think it is best to have the Midterm on 3/18, assuming campus is open that day. We can discuss this on Friday, in class, you can also email me comments. Information about the midterm is posted on blackboard.

On 3/13, 3/16 and ~~3/18~~, I will post lecture notes, as well as have normal lecture. From ~~3/20~~ 3/18 onward, I will just post lecture notes and be available to answer questions during the class time on Piazza. You should have gotten an email invitation to the course Piazza site.

On 3/20, there is an at-home midterm. Logistical information is posted below. Content information is already on blackboard (a previous exam is posted, you don't need to know Fisher Information)

Midterm 2 scores are now on gradescope.
The grade break-down is:
54-65 A
52-53 A-
51 B+
42-50 B
41 B-
35-40 C
34 C-

On Blackboard, under Grades, you can find your approximate grade in the course so far.

Homework:

Homework 1- Due Friday Jan. 31

Homework 2- Due Friday Feb. 7

Homework 3- Due Friday Feb. 14

Homework 4- Due Friday Feb. 21

Homework 5- Due Friday Feb. 28

Homework 6- Due Monday Mar. 9

Homework 7- Due Monday Mar. 16

Homework 8- Due Monday Mar. 30- Do problems 10.5, 10.6, 10.18, 10.20, 10.23, 10.26, 10.30, 10.32

Homework 9- Due Friday Apr. 17- Do problems 10.38, 10.39, 10.43, 10.44, 10.50, 10.52, 10.55

Homework 10- Due Friday Apr. 24- Do problems 10.65, 10.69, 10.73, 10.76, 10.79, 10.83, 10.86

Homework 11 - Due Monday May 4

In case it's not clear, I'm reading your homework on gradescope, marking that you completed in on Blackboard and then posting partial solutions/ common mistakes on Blackboard. I might mark something on your homework on gradescope but it's more likely I'll make remarks on what I post on blackboard. If you're not sure if something you did is correct, it's probably best to just ask.

Calendar:

1/22 Section 7.2

1/24 Sections 7.2

1/27 Section 7.2-.4

1/29 Section 8.2

1/31 Section 8.3-4

2/3 Section 8.4-5

2/3 Section 8.5

2/5 Section 8.6

2/7 Snow Day

2/10 Section 8.6-7

2/12 Section 8.8

2/14 Section 8.9

2/17 Section Finish Chapter 8/ Start Chapter 9

2/19 Section 9.2/9.3

2/21 Midterm 1. Information and a practice exam are posted on blackboard. Solutions are now posted.
Grades: 62-75 A, 56-61 B, 48-55 C (I announced this in class wrong)

2/24 Section 9.4

2/26 Section 9.5

2/28 Section 9.4-9.5

3/2 Section 9.6

3/4 Section 9.7

3/6 Holiday

3/9 Review Consistent Estimators

3/11 Review Sufficiency and MLE

3/13 Review Sufficiency and MLE and 9.8

3/16 I discussed Example 9.15 and answered some questions from the homework. No typed notes for today, just review the homework solutions on blackboard (too be posted soon).

3/18 Classes are technically canceled. I will still be available on Piazza.

3/20- Midterm 2 Updated Midterm 2 information See top of page to grade information.

3/23 Section 10.2

3/25 Section 10.3 (Updated 3/27) Pictures added to page 3, some typos in formulas corrected on page 2.

3/27 Section 10.4

3/30 Section 10.5

4/1 Section 10.6

4/3 Section 10.7

4/4-12 Spring Break

4/13 Section 10.8 Typo at bottom of page 3, in def of T corrected.

4/15 Section 10.9

4/17 No new notes today. Review the previous notes. Let me know if you would like more examples of something.

4/20 Section 10.10 - part I

4/22 Section 10.10 - part II

4/24 ~~No new notes~~ Here is one more short note: Section 10.10 - part III

4/27 Section 10.11 - part I

4/29 Section 10.11 - part II Note: In some of these notes I found the maximum of the likelihood function by differentiating it, instead of the log of it, like we had been doing. This is because I forgot to take the ln, both approaches give the same answer, but not taking the ln makes the computations uglier. I recommend taking the ln before taking the derivatives.

That's all the content we're going to cover in this class. I'll write more notes if I think of something else that needs to be pointed out, or I get a request for something. I'll post some Final information soon. If you have more questions, you can email me, post on Piazza or we can set up an online meeting.

I've posted practice Final problems on blackboard. The final is this Thursday, the format will be similar to the midterm. I'll post it Thursday morning and it will be due Thursday night.

Practice Final Solutions are posted.

The Final is posted to blackboard.

David Renfrew

2026-04-09T05:10:44-04:00

David Renfrew

Associate Professor
Ph.D., 2012, University of California, Davis
At Binghamton since 2016
Areas of Interest: Probability, Random Matrix
Summary of research interests

E-mail:	renfrew@binghamton.edu, renfrew@math.binghamton.edu
Office:	WH 130
Fax:	(607) 777-2450

Courses:
- Spring 2026
  
  On leave
  
  - -

Website