Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits İST420 ORDER STATISTICS Elective 4 8 5
Level of Course Unit
First Cycle
Objectives of the Course
To introduce the theory and application areas of order statistics.
Name of Lecturer(s)
Doç.Dr. Halil TANIL
Learning Outcomes
 1 Ability to obtain probability distributions of ordered random variables 2 To be able to see the application fields of ordered random variables 3 Ability to obtain distributions of exceedance statistics 4 Ability to obtain the moments of ordered random variables 5 Ability to obtain probability distributions of functions of ordered random variables
Mode of Delivery
Face to Face
Prerequisites and co-requisities
Recommended Optional Programme Components
Course Contents
Definition of Order Statistics, Assumptions, Marginal distribution functions, Marginal and common probability density functions, Expected value, Variance, Covariance, Characterizations for various distributions, Distribution-free confidence intervals, Exceedance statistics, Distribution of difference of two order statistics, Record values, Censored order statistics .
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 1 Some problems for motivation 2 Definition of Order Statistics, Assumptions, Marginal Distribution Functions, Homework 3 Problem solutions 4 Marginal and joint probability density functions, Homework 5 Problem solutions 6 Distribution-free confidence intervals 7 Exceedance statistics, Homework 8 Problem solutions 9 Midterm 10 Characterizations for various distributions, Expected value, Variance, Covariance 11 Distribution of the difference of two order statistics, Homework 12 Problem solutions 13 Definition of record values, joint and marginal probability density functions 14 Progressively Type II Censored Order Statistics, Joint and marginal probability density functions, Homework 15 Problem solutions 16 Final Exam