University of Rhode Island    Department of Mathematics

# Spring 2019

TuTh 9:30 - 10:45 p.m.

 Instructor: Dr. M. Kulenovic, Lippitt 202D, 874-4436, mkulenovic@ uri.edu Text:  H. Pishro-Nik: Introduction to Probability, Statistics and Random Processes, Kappa Research 2016 Prerequisites: MTH 243,451 or equivalent Calculators: A graphing calculator is required Office Hours: TuWTh 11-12  Room: Lippitt 401

 Text H. Pishro-Nik: Introduction to Probability, Statistics and Random Processes, Kappa Research 2016 Online version of the book: https://www.probabilitycourse.com/ Additional Texts:(Excellent sources of solved problems) Grinstead and Snell, Introduction to Probability (available for free download from:  http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/book.html   Robert Ash Basic Probability Theory, Dover (available for free download from:  http://www.math.uiuc.edu/~r-ash/BPT.html   Professor A.J. Hildebrand’s collection of the solved problems https://faculty.math.illinois.edu/~hildebr/408/ Topics Special distributions in Statistics, Functions of random variables, Decision theory, Confidence intervals, Hypothesis testing, Parameter estimators, Regression and Correlation Evaluation Homework (15%), quizzes (15%), midterm exam (20 %), second exam (20 %); comprehensive final exam (30 %). About the Course MTH 452 is an introduction to the mathematical statistics using calculus. Mathematical statistics has a tremendous range of applications in all the sciences, including the social sciences, business and economics, and engineering. It uses a wide variety of mathematical techniques and concepts, especially elementary probability theory, linear algebra and calculus. The class is designed for an audience with  diverse interests such as  engineering, science, economics or business major. This course will fully prepare you for actuarial P exam. In addition, the study of Mathematical statistics  can be entertaining, enlightening and sometimes surprising. We will cover most of Chapter 6-9 of the textbook. There will be some additional material handed in the class.

Mathematica Notebooks developed by Professor Kulenovic will be available through SAKAI.

Sakai There will be practice problems and solved problems in Sakai site of the course.

How to get help

Special Accommodations
Students who need special accommodations and who have documentation from Disability Services (874-2098) should make arrangements with Dr. Kulenovic as soon as possible.

## Mathematical Statistics- Spring 2019

 Day Text Suggested Homework Problems January 23 Chapter 6 1,3,4,6-8, 11, 13, 15,19,21-24 Chapter 7 1,3,5,8-10,13,17,19 Chapter 8 1-3,5,7,9,11-15,17-19,21,23 Chapter 9 1,3,5-7,9,11,13,14,16-19