TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Master's Degree With Thesis
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) 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
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	There is no recommended optional programme component for this course.
COURSE DEFINITION	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 1st Week Permutation, combination 2nd Week Probability, probability function and properties, conditional probability, independence, Bayes theorem 3rd Week Probability, probability function and properties, conditional probability, independence, Bayes theorem 4th Week Probability, probability function and properties, conditional probability, independence, Bayes theorem 5th Week Random variable, cumulative distribution function and its properties, joint probability and marginal probability functions 6th Week Random variable, cumulative distribution function and its properties, joint probability and marginal probability functions 7th Week Random variable, cumulative distribution function and its properties, joint probability and marginal probability functions 8th Week MIDTERM 9th Week Conditional probability functions, combining and transforming random variables 10th Week Conditional probability functions, combining and transforming random variables 11th Week Conditional probability functions, combining and transforming random variables 12th Week Conditional probability functions, combining and transforming random variables 13th Week Expected value, variance and its properties 14th Week Expected value, variance and its properties
RECOMENDED 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)	No