COURSE UNIT TITLE

: MATHEMATICAL STATISTICS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IST 2017 MATHEMATICAL STATISTICS COMPULSORY 4 0 0 7

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR BURCU HÜDAVERDI

Offered to

Statistics
Statistics(Evening)

Course Objective

This course introduces students to the mathematical principles of statistics. Students will learn random variables and their distributions, joint random variables and conditional distributions, moment generating function, the distributions of the functions of random variables.

Learning Outcomes of the Course Unit

1   UUse the basic discrete distributions (Bernoulli, Binomial, Geometric, Negative Binomial, Hypergeometric, and Poisson) with their properties.
2   Use the basic continuous distributions (Uniform, Normal, Standard normal, Exponential, Gamma and Weibull) with their properties.
3   Obtain moments and moment generating functions of random variables.
4   Calculate the basic two-variable statistics (covariance, correlation) using joint distributions and conditional distributions.
5   Obtain the distributions of the functions of random variables.
6   Obtain the distributions of the order statistics.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Random Variables, Moments and Moment Generating Functions
2 Special Discrete Distributions and moment generating functions (Bernoulli, Binomial, Geometric, Negative Binomial, Hypergeometric, and Poisson)
3 Special Continuous Distributions and moment generating functions (Uniform , Normal, Standard Normal, Exponential, Gamma, Weibull)
4 Joint probability distributions, Marginal distributions
5 Joint probability distributions, Marginal distributions
6 Conditional Distributions, Independent Random Variables
7 Expected values of bivariate distributions,
8 Mid-term
9 Conditional expected value, conditional variance and its properties.
10 Covariance and Correlation
11 Methods for distributions of functions of random variables (CDF and Transformation Methods)
12 Methods for distributions of functions of random variables (CDF and Transformation Methods)
13 Distribution of sums of random variables
14 Order Statistics

Recomended or Required Reading

Textbook(s):
L. J. Bain and M. Engelhardt, Introduction to Probability and Mathematical Statistics, 2nd Edition, Duxbury, 1992.
Supplementary Book(s):
1. R. J. Larsen and M. L. Marx, An Introduction to Mathematical Statistics and Its Applications, 4th Edition, Prentice Hall.
2. I. Miller and M. Miller, John E. Freund's Mathematical Statistics with Applications, 7 edition Prentice Hall, 2003.H. Taha, Operations Research, McGraw Hill, 7th edition, 2003.

Planned Learning Activities and Teaching Methods

Lecture notes, presentations, homeworks and examinations.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 QUZ QUIZ
3 FIN FINAL EXAM
4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.30 + RST * 0.40


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

30% of the midterm exam, 30% quizes and 40% of the final exam. Participation in the course is important.

Language of Instruction

English

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course and is the responsibility of the student. It is necessary that attendance to the lecture and homework delivery must be on time. Any unethical behavior that occurs either in presentations or in exams will be dealt with as outlined in school policy. You can find the undergraduate policy at http://web.deu.edu.tr/fen

Contact Details for the Lecturer(s)

DEU Fen Fakültesi Istatistik Bölümü
Prof. Dr. Özlem EGE ORUÇ
e-posta:ozlem.ege@deu.edu.tr
Tel: 0232 301 85 58
Prof. Dr. Selma GÜRLER
e-posta:selma.erdogan@deu.edu.tr
Tel: 0232 301 85 71

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 15 4 60
Preparation for midterm exam 15 1 15
Preparation for final exam 1 24 24
Preparing assignments 1 36 36
Preparation for quiz etc. 2 15 30
Midterm 1 2 2
Final 1 2 2
Quiz etc. 2 1 2
TOTAL WORKLOAD (hours) 171

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.15534
LO.25534
LO.35434
LO.45534
LO.55434
LO.65434

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2015 DEÜ. BİD

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