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  Course Description
Course Name : Order Statistics

Course Code : İSB407

Course Type : Optional

Level of Course : First Cycle

Year of Study : 4

Course Semester : Fall (16 Weeks)

ECTS : 5

Name of Lecturer(s) : Assoc.Prof.Dr. ALİ İHSANGENÇ

Learning Outcomes of the Course : Learns the definition of order statistics and knows various order statistics.
Finds the distribution of an order statistic.
Finds the moments of an order statistic.
Makes applications of order statistics in statistical inference.
Learns the practical applications of order statistics.

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : This course aims to give both theory and applications of order statistics.

Course Contents : Distribution of order statistics, discrete order statistics, continuous order statistics, order statistics for named distributions, moments of order statistics, order statistics in inference

Language of Instruction : Turkish

Work Place : Faculty of Arts and Sciences Annex classrooms


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Introduction to order statistics Source reading Lecture, discussion and problem solving
2 Distribution of order statistics Source reading Lecture, discussion and problem solving
3 Distribution of order statistics Source reading Lecture, discussion and problem solving
4 Discrete order statistics Source reading Lecture, discussion and problem solving
5 Discrete order statistics Source reading Lecture, discussion and problem solving
6 Order statistics for some well known distributions Source reading Lecture, discussion and problem solving
7 Order statistics for some well known distributions Source reading Lecture, discussion and problem solving
8 Mid-term exam Review the topics discussed in the lecture notes and sources Written exam
9 Order statistics for some well known distributions Source reading Lecture, discussion and problem solving
10 Moments of order statistics Source reading Lecture, discussion and problem solving
11 Moments of order statistics, moment relations Source reading Lecture, discussion and problem solving
12 Order statistics in inference and applications Source reading Lecture, discussion and problem solving
13 Order statistics in inference and applications Source reading Lecture, discussion and problem solving
14 Order statistics in inference and applications Source reading Lecture, discussion and problem solving
15 Order statistics in inference and applications Source reading Lecture, discussion and problem solving
16/17 Final exam Review the topics discussed in the lecture notes and sources Written exam


  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  A first Course in Order Statistics, B. C. Arnold, N. Balakrishnan, H. N. Nagaraja, 1992, Wiley, New York.
Required Course Material(s)


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 100
    Homeworks/Projects/Others 0 0
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Utilize computer systems and softwares 3
2 Apply the statistical analyze methods 4
3 Make statistical inference(estimation, hypothesis tests etc.) 5
4 Generate solutions for the problems in other disciplines by using statistical techniques 4
5 Discover the visual, database and web programming techniques and posses the ability of writing programme 0
6 Construct a model and analyze it by using statistical packages 0
7 Distinguish the difference between the statistical methods 0
8 Be aware of the interaction between the disciplines related to statistics 3
9 Make oral and visual presentation for the results of statistical methods 0
10 Have capability on effective and productive work in a group and individually 0
11 Develop scientific and ethical values in the fields of statistics-and scientific data collection 0
12 Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics 4
13 Emphasize the importance of Statistics in life 4
14 Define basic principles and concepts in the field of Law and Economics 0
15 Produce numeric and statistical solutions in order to overcome the problems 4
16 Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events 4
17 Use proper methods and techniques to gather and/or to arrange the data 0
18 Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs 0
* Contribution levels are between 0 (not) and 5 (maximum).

  Student Workload - ECTS
Works Number Time (Hour) Total Workload (Hour)
Course Related Works
    Class Time (Exam weeks are excluded) 14 3 42
    Out of Class Study (Preliminary Work, Practice) 14 3 42
Assesment Related Works
    Homeworks, Projects, Others 0 0 0
    Mid-term Exams (Written, Oral, etc.) 1 15 15
    Final Exam 1 15 15
Total Workload: 114
Total Workload / 25 (h): 4.56
ECTS Credit: 5