Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
İST420ORDER STATISTICSElective485
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
1Ability to obtain probability distributions of ordered random variables
2To be able to see the application fields of ordered random variables
3Ability to obtain distributions of exceedance statistics
4Ability to obtain the moments of ordered random variables
5Ability 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
WeekTheoreticalPracticeLaboratory
1Some problems for motivation
2Definition of Order Statistics, Assumptions, Marginal Distribution Functions, Homework
3Problem solutions
4Marginal and joint probability density functions, Homework
5Problem solutions
6Distribution-free confidence intervals
7Exceedance statistics, Homework
8Problem solutions
9Midterm
10Characterizations for various distributions, Expected value, Variance, Covariance
11Distribution of the difference of two order statistics, Homework
12Problem solutions
13Definition of record values, joint and marginal probability density functions
14Progressively Type II Censored Order Statistics, Joint and marginal probability density functions, Homework
15Problem solutions
16Final Exam
Recommended or Required Reading
1. David, H.A., 1970. “Order Statistics”, John Wiley & Sons, Inc. 2. Arnold, B.C., Balakrishnan, N., Nagaraja, H.N., 2008. "A First Course in Order Statistics", John Wiley & Sons, Inc.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
SUM0
Language of Instruction
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14342
Individual Study for Homework Problems5525
Individual Study for Mid term Examination14040
Individual Study for Final Examination15050
TOTAL WORKLOAD (hours)161
Contribution of Learning Outcomes to Programme Outcomes
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LO2 53      5             3
LO34        5  4    3      
LO44        5  4    3      
LO54        5  4    3      
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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