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 2011 MATHEMATICAL STATISTICS COMPULSORY 4 0 0 6

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ÖZLEM EGE ORUÇ

Offered to

Statistics(Evening)
Statistics

Course Objective

This course introduces students to the mathematical principles of statistics. Students will learn basic principles of counting process, axioms of probability, random variables and their distributions.

Learning Outcomes of the Course Unit

1   Describe the problems concerning sample spaces and events and basic principles of probability
2   Calculate probability and conditional probability using Bayes' theorem
3   Use the concepts of probability and distribution functions, properties and their relationships
4   Use the basic discrete distributions (Bernoulli, Binomial, Geometric, Negative Binomial, Hypergeometric, and Poisson) with their properties
5   Use the basic continuous distributions (Uniform, Normal, Standard normal, Exponential, Gamma and Weibull) with their properties.
6   Obtain moments and moment generating functions of random variables.
7   Calculate the basic two-variable statistics (covariance, correlation) using joint distributions and conditional distributions.
8   Obtain the distributions of the functions of random variables.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Set theory and Definition of Probability
2 Some Properties of Probability, Conditional probability and independence/ Combinatorial Methods
3 Random Variables, Discrete and Continuous Random Variables, Probability distribution and Cumulative distribution function
4 Expected Value and its Properties, Moments and Moment Generating Functions
5 Special Discrete Distributions(Bernoulli, Binomial, Geometric, Negative Binomial, Hypergeometric, and Poisson)
6 Special Continuous Distributions (Uniform , Normal, Standard Normal, Exponential, Gamma, Weibull)
7 Joint probability distributions, Marginal distributions
8 Mid-term
9 Conditional Distributions, Independent Random Variables
10 Expected values of bivariate distributions, conditional expected value, conditional variance and its properties.
11 Covariance and Correlation
12 Methods for distributions of functions of random variables (CDF and Transformation Methods)
13 Distribution of sums of random variables (MGF technique)
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

Since this is a multi sectional lecture the grades will be evaluated with 40% of the midterm exam, 10% homework-quiz and 50% of the final exam but these grades will be shown as 100% final note on the system.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.40 + ASG * 0.10 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + ASG * 0.10 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

Evaluation of exams and homework.

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
Doç.Dr. Özlem EGE ORUÇ
e-posta:ozlem.ege@deu.edu.tr
Tel: 0232 301 85 58
Doç. 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 13 4 52
Preparation for midterm exam 1 28 28
Preparation for final exam 1 38 38
Preparing assignments 3 5 15
Preparations before/after weekly lectures 12 1 12
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 149

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.15434
LO.25534
LO.35534
LO.45534
LO.55434
LO.65534
LO.75434
LO.85434

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 2012 DEÜ. BİD

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