PROBABILITY

BTS582

Course Code: BTS582
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Master's Degree With Thesis

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

Will learn basic concepts relating to probability theory so as to constitute an infrastructure for mathematical statistics and other statistics course.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

There is no recommended optional programme component for this course.

Course Description

Discrete and continuous probability distributions; random variables; one and multi dimensional distributions, conditional probability; expected value; moments and moment generation functions, limit theorems. Parametrical statistics; likelihood function; methods for derivation of estimators; properties of estimators: interval estimation: hypothesis tests; Neyman-pearson Lemma and likelihood ratio test.

Course Contents

WEEK	TOPICS
1^st Week	Permutation, combination
2^nd Week	Probability, probability function and properties, conditional probability, independence, Bayes theorem
3^rd Week	Probability, probability function and properties, conditional probability, independence, Bayes theorem
4^th Week	Probability, probability function and properties, conditional probability, independence, Bayes theorem
5^th Week	Random variable, cumulative distribution function and its properties, joint probability and marginal probability functions
6^th Week	Random variable, cumulative distribution function and its properties, joint probability and marginal probability functions
7^th Week	Random variable, cumulative distribution function and its properties, joint probability and marginal probability functions
8^th Week	MIDTERM
9^th Week	Conditional probability functions, combining and transforming random variables
10^th Week	Conditional probability functions, combining and transforming random variables
11^th Week	Conditional probability functions, combining and transforming random variables
12^th Week	Conditional probability functions, combining and transforming random variables
13^th Week	Expected value, variance and its properties
14^th Week	Expected value, variance and its properties

Recommended or Required Reading

Larsen R. J. and Marx M. L., (2001), An Introduction to Mathematical Statistics and Its Application, 3rd edition, Prentice -Hall Inc.

Şenesen Ü., (2002), Matematiksel İstatistik (John E. Freund'un çeviri kitabı), Literatür Yayıncılık.

Ceyhan İnal ve Süleyman Günay, (1999), Olasılık ve Matematiksel İstatistik, 4. baskı, H.Ü. Fen Fakültesi Basımevi.

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers
Problem Solving
Other

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	30
Assignment	1	10
Project	1	10
Total(%)		50
Contribution of In-term Studies to Overall Grade(%)		50
Contribution of Final Examination to Overall Grade(%)		50
Total(%)		100

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1
K1	X
K2
K3
K4	X
K5	X
K6
K7
K8	X
K9	X
K10	X
K11	X