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Mathematical Statistics

Course Code | : BİS522 |

Course Type | : Area Elective |

Couse Group | : Second Cycle (Master's Degree) |

Education Language | : Turkish |

Work Placement | : N/A |

Theory | : 2 |

Prt. | : 0 |

Credit | : 2 |

Lab | : 0 |

ECTS | : 4 |

Objectives of the Course

This course give the information about random variable, expected value, probability, pdf, etc. in mathematical statistics theories

Course Content

Probability, random variable, moment generating function, discrete and continuous distributions, relations between distributions, sufficient statistics, expected value.

Name of Lecturer(s)

Learning Outcomes

1. | To learn the concepts of probability to understand probability theory |

2. | To learn probability density functions and to make probability calculations |

3. | To learn random variable, random variables and their distribution |

4. | Expected value, characteristic function and calculation of the moments of distribution with the help of this function |

5. | To be able to comprehend and use the theory of mathematical statistics in practice. |

Recommended or Required Reading

Weekly Detailed Course Contents

Week 1 - Theoretical

General information

Week 2 - Theoretical

Probability theory

Week 3 - Theoretical

Probability theory

Week 4 - Theoretical

Random variables

Week 5 - Theoretical

Expected value

Week 6 - Theoretical

Discrete distributions

Week 7 - Theoretical

Discrete distributions

Week 8 - Intermediate Exam

Continuous distributions

Week 9 - Theoretical

Midterm exam

Week 10 - Theoretical

Continuous distributions

Week 11 - Theoretical

Properties of expected value processing

Week 12 - Theoretical

Moment and moment generating function

Week 13 - Theoretical

Moments according to the origin

Week 14 - Theoretical

Moments according to the arithmetic mean

Week 15 - Theoretical

Literature review and discussion

Week 16 - Final Exam

Final exam

Assessment Methods and Criteria

Type of Assessment | Count | Percent |
---|---|---|

Midterm Examination | 1 | %40 |

Final Examination | 1 | %60 |

Workload Calculation

Activities | Count | Preparation | Time | Total Work Load (hours) |
---|---|---|---|---|

Lecture - Theory | 14 | 0 | 2 | 28 |

Assignment | 1 | 10 | 0 | 10 |

Quiz | 14 | 2 | 1 | 42 |

Midterm Examination | 1 | 10 | 1 | 11 |

Final Examination | 1 | 10 | 1 | 11 |

TOTAL WORKLOAD (hours) | 102 |

Contribution of Learning Outcomes to Programme Outcomes

PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | |

OÇ-1 | ||||||||||

OÇ-2 | ||||||||||

OÇ-3 | 4 | 4 | 3 | 3 | 4 | 3 | 4 | 3 | 4 | 5 |

OÇ-4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 5 |

OÇ-5 | 4 | 5 | 4 | 4 | 4 | 3 | 4 | 4 | 4 | 4 |

Person Responsible for Information Package

Adnan Menderes University - Information Package / Course Catalogue