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ENGLISH
Information
| Unit | INSTITUTE OF NATURAL AND APPLIED SCIENCES |
| STATISTICS (MASTER) (WITH THESIS) | |
| Code | ISB566 |
| Name | Order Statistics and Inference |
| Term | 2018-2019 Academic Year |
| Term | Spring |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ İHSAN GENÇ |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
The aim of this course is to teach students the distribution theory of order statistics and how to use them in statistical inference.
Course Content
Distributions of order statistics, moments of order statistics, moment recurrence relations, linear estimation, maximum likelihood estimation, approximate likelihood estimation, optimal estimation, Cohen-Whitten estimators, estimation in regression models, censored samples
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Finds the distribution of an order statistic of a sample from a distribution. |
| LO02 | Computes the moments of an order statistic. |
| LO03 | Computes linear estimates of location and scale parameters. |
| LO04 | Computes the approximate estimators based on order statistics. |
| LO05 | Computes the estimators based on censored samples. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Have in-depth theoretical and practical knowledge about Probability and Statistics | |
| PLO02 | - | They have the knowledge to make doctoral plans in the field of statistics. | |
| PLO03 | - | Has comprehensive knowledge about analysis and modeling methods used in statistics. | |
| PLO04 | - | Has comprehensive knowledge of methods used in statistics. | |
| PLO05 | - | Make scientific research on Mathematics, Probability and Statistics. | |
| PLO06 | - | Indicates statistical problems, develops methods to solve. | |
| PLO07 | - | Apply innovative methods to analyze statistical problems. | |
| PLO08 | - | Designs and applies the problems faced in the field of analytical modeling and experimental researches. | |
| PLO09 | - | Access to information and do research about the source. | |
| PLO10 | - | Develops solution approaches in complex situations and takes responsibility. | |
| PLO11 | - | Has the confidence to take responsibility. | |
| PLO12 | - | They demonstrate being aware of the new and developing practices. | |
| PLO13 | - | He/She constantly renews himself/herself in statistics and related fields. | |
| PLO14 | - | Communicate in Turkish and English verbally and in writing. | |
| PLO15 | - | Transmits the processes and results of their studies clearly in written and oral form in national and international environments. | |
| PLO16 | - | It considers the social, scientific and ethical values in the collection, processing, use, interpretation and announcement stages of data and in all professional activities. | |
| PLO17 | - | Uses the hardware and software required for statistical applications. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Distribution theory of order statistics | Source reading | |
| 2 | Distribution theory of order statistics | Source reading | |
| 3 | Moments of order statistics, moment relations | Source reading | |
| 4 | Linear estimation | Source reading | |
| 5 | Linear estimation | Source reading | |
| 6 | Method of maximum likelihood | Source reading | |
| 7 | Approximate method of maximum likelihood. | Source reading | |
| 8 | Mid-Term Exam | Review the topics discussed in the lecture notes and sources | |
| 9 | Optimal estimation based on selected order statistics | Source reading | |
| 10 | Optimal estimation based on selected order statistics | Source reading | |
| 11 | Cohen-Whitten estimators | Source reading | |
| 12 | Cohen-Whitten estimators | Source reading | |
| 13 | Estimation in regression models | Source reading | |
| 14 | Estimation in regression models | Source reading | |
| 15 | Censored samples | Source reading | |
| 16 | Term Exams | Review the topics discussed in the lecture notes and sources | |
| 17 | Term Exams | Review the topics discussed in the lecture notes and sources |