Advance Concepts in Probability and Statistics, MATH-57091

This is an online class! You may find all lectures, slides and homework assigments on this webpage. There will be no in class meetings/exams. You will NOT be able to visit me in my office!! But almost at any time I will be very happy to chat with you using zoom/skype/Microsoft Teams/facebook or simply phone.

Syllabus.

Introduction to the class & rules of the game (Video, Slides).

Also note:

Section Start Date 06/10/21; Section End Date 07/14/21; Last Day to Add 06/11/21; Last Day to Drop 06/12/18; Last Day to Withdraw 07/01/18;

Instructor
Office hours:
Office:
Office tel.:
E-mail:
WWW of the course:
Home works must be sumbitted in pdf format over:
Artem Zvavitch
Please, e-mail/msg/call me and to make an appointment.
364
(330)-9980275
zvavitch@math.kent.edu
http://www.math.kent.edu/~zvavitch/PS_2021.html
Blackboard.

Please, note the calendar below is just a plan which may be adjusted during the semester!

Dates
Topic
Lectures (video and slides)
Home Works
Questions & Answers
6.10 and 6.11
Sets, Sample Space, Probability. Lecture 1 (video, slides); Lecture 2 (video, slides) Home Work 1 (due Monday 6/14/21). Hints For HW1 (view only after attemting to do the HW!!).
6.14 and 6.15
Conditional Probabilities, Independent Events. Lecture 1 (video, slides); Lecutre 2 (video, slides) Home Work 2 (due Friday 6/18/21).
6.16 and 6.17
Random Variables, Introduction. Discreate Random Variables (Examles, Expactation). Lecture 1 (video, slides); Lecutre 2 (video , slides) Home Work 3 (due Sunday 6/21/21). Hint to problem 3(video, slides)
6.18 and 6.21
Discreate Random Variables (Examles, Expactation, Sum and Product, Variance, Standard Deviation). Lecture 1 (video, slides); Lecutre 2 (video, slides) Home Work 4 (due Thursday 6/24/21). Some Hints(video, slides)
6.22 and 6.23
Continuous Random Variables (Examples such as uniform and Normal distributions, Expectation, Sum, Product, Independence and Variance. Lecture 1 (video, slides); Lecutre 2 (video, slides) Home Work 5 (due Saturday 6/26/21). Some Hints for HW 5(video, slides)
6.24 and 6.25
Markov's and Chebychev's Inequalities, Discussion of Limit Theorems. Lecture 1 (video, slides); Lecutre 2 (video, slides) Home Work 6 (due Monday 6/28/21).
6.28-6.29
Central Limit Theorem. Sample, Sample mean and Variance and Applications of Central Limit Theorem. Lecutre (video, slides) Home Work 7 (due Firday 07/01/21).
6.30-7.01
Sample Proportion. Estimation. Lecture 1 (video, slides); Lecutre 2 (video, slides) Home Work 8 (due Tuesday 07/06/21).
07.02 and 07.06
Interval Estimators Lecture 1 (video, slides); Lecutre 2 (video, slides) Home Work 9 (due Friday 07/09/21).
07.07-07.08
Interval Estimator (case of unknown variance). Lecture 1 (video, slides); Lecutre 2 (video, slides) Home Work 10 (due Sunday 7/11/21).
07.09-07.12
Hypothesis Test: first looks Lecture 1 (video, slides); Lecutre 2 (video, slides) Home Work 11 (due 07/15/21).
07.13-11.14
Hypothesis Test: the case of unknown variance. Lecture (video, slides); Home Work 12 (due 07/17/21).

TO ARTEM ZVAVITCH'S HOMEPAGE