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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| STATISTICS PR. | |
| Code | ISB407 |
| Name | Order Statistics |
| Term | 2020-2021 Academic Year |
| Semester | 7. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | E Elective |
| Mode of study | Uzaktan Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ İHSAN GENÇ |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
Course Goal / Objective
Theoretical background for order statistics related methods is the main aim of this course.
Course Content
Starting with the distribution of order statistics, the use of them in inference are studied.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Comprehends the definition of order statistics and knows various order statistics. |
| LO02 | Finds the distribution of an order statistic. |
| LO03 | Finds the moments of an order statistic. |
| LO04 | Makes applications of order statistics in statistical inference. |
| LO05 | Comprehends the practical applications of order statistics. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics | 5 |
| PLO02 | - | Emphasize the importance of Statistics in life | 4 |
| PLO03 | - | Define basic principles and concepts in the field of Law and Economics | 0 |
| PLO04 | - | Produce numeric and statistical solutions in order to overcome the problems | 3 |
| PLO05 | - | Use proper methods and techniques to gather and/or to arrange the data | 3 |
| PLO06 | - | Utilize computer systems and softwares | 3 |
| PLO07 | - | Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events | 5 |
| PLO08 | - | Apply the statistical analyze methods | 4 |
| PLO09 | - | Make statistical inference(estimation, hypothesis tests etc.) | 5 |
| PLO10 | - | Generate solutions for the problems in other disciplines by using statistical techniques | 4 |
| PLO11 | - | Discover the visual, database and web programming techniques and posses the ability of writing programme | 0 |
| PLO12 | - | Construct a model and analyze it by using statistical packages | 4 |
| PLO13 | - | Distinguish the difference between the statistical methods | 4 |
| PLO14 | - | Be aware of the interaction between the disciplines related to statistics | 3 |
| PLO15 | - | Make oral and visual presentation for the results of statistical methods | 2 |
| PLO16 | - | Have capability on effective and productive work in a group and individually | 4 |
| PLO17 | - | 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 | 3 |
| PLO18 | - | Develop scientific and ethical values in the fields of statistics-and scientific data collection | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definition of order statistics and their use | Lecturing and problem solving | |
| 2 | Distribution of order statistics | Lecturing and problem solving | |
| 3 | Distribution of order statistics, conditional distributions | Lecturing and problem solving | |
| 4 | Single moments, product moments, covariance | Lecturing and problem solving | |
| 5 | Sample statistics based on order statistics | Lecturing and problem solving | |
| 6 | Sample statistics based on order statistics | Lecturing and problem solving | |
| 7 | Discrete order statistics | Lecturing and problem solving | |
| 8 | Mid-Term Exam | Reviewing | |
| 9 | Distribution of order statistics from some named distributions | Lecturing and problem solving | |
| 10 | Distribution of order statistics from some named distributions | Lecturing and problem solving | |
| 11 | Moment recurrence relations | Lecturing and problem solving | |
| 12 | Moment recurrence relations | Lecturing and problem solving | |
| 13 | Order statistics in inference | Lecturing and problem solving | |
| 14 | Order statistics in inference | Lecturing and problem solving | |
| 15 | Asymptotic distributions of order statistics | Lecturing and problem solving | |
| 16 | Term Exams | Reviewing | |
| 17 | Term Exams | Reviewing |