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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS EKO 6070 STATISTICAL DISTRIBUTION THEORY ELECTIVE 3 0 0 6

Offered By

Econometrics

Level of Course Unit

Third Cycle Programmes (Doctorate Degree)

Course Coordinator

PROFESSOR DOCTOR ALI KEMAL ŞEHIRLIOĞLU

Offered to

Econometrics

Course Objective

The aim of course is to define appropriate distribution among pearson family of distributions for data sets by using moment methods.

Learning Outcomes of the Course Unit

1   To be able to solve pearson differantial equations by moment methods 2   To be able to identify the type of the distribution by the roots of the denominator 3   To be able to identify distributions by using craig's method 4   To be able to characterize pearson differantial equation with cubic denominator.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Essantials of Theory of Statistical Distributions 2 Random Variables and Frequency Distributions 3 Moments of Random Variables and Their Estimation Methods 4 Pearson Diffreantial Equations 5 Analyse of Pearson Distributions Which Has Not Quadratic Denominator 6 Analyse of The Main Types of Pearson Sysytem 7 Distributions Which Has Multiple Roots and Equally Absolute Value Roots 8 Mid-term 9 Special Cases For Type-I, Type-III, Type V and Type VI and Other Non-essantial Types 10 Properties of Pearson System 11 Characteristics Functions Of Pearson Distributions With Quadratic Denominator 12 The Equation and Solution of Pearson Differantial Equation With Quadratic Denominator 13 Pearson Distributions With Cubic Denominator: Main Types and Solutions 14 Pearson Distributions With Cubic Denominator: Non- Essantial Types and Solutions

Recomended or Required Reading

1- STUART, A. ve ORD, J.K. (1987), Kendall's Advanced Theory of Statistics. oXFORD UNIVERSITY PRESS 2- MATHAI, A.M. (1993). A Handbook of Generalized Special Functions for Statistical and Physical Sciences. Calenderan Pres, Oxford.

Planned Learning Activities and Teaching Methods

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FCG FINAL COURSE GRADE 3 FCGR FINAL COURSE GRADE MTE * 0.40 + FCG* 0.60 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST* 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 3 39 Preparations before/after weekly lectures 13 3 39 Preparation for midterm exam 1 30 30 Preparation for final exam 1 30 30 Midterm 1 3 3 Final 1 3 3 TOTAL WORKLOAD (hours) 144

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 LO.1 2 2 1 1 1 1 1 1 1 LO.2 1 1 1 1 1 1 1 1 1 LO.3 1 1 1 1 1 1 1 1 1 LO.4 2 2 2 2 2 2 2 2 2