Akademik Dersler - Tanıtım


Code - Course Title	İST530 - Theory of Statistics
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	7.5
Course Instructor(s)
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	There is no prerequisite or co-requisite for this course.
Required or Recommended Resources	Lehmann E.L, Cassella G. (1998). Theory of point estimation
Recommended Reading List
Assessment methods and criteria	2 Mid-terms, 1 Final exam
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Introduction to probability theory.
Week - 2	Probability distribution: Discrete and continuous distributions; multivariate distributions.
Week - 3	Some inequalities: Markov, chebyshev, Hölder, Minkovski, and Jensen.
Week - 4	Principle of data reduction: the sufficient principle, likelihood principle.
Week - 5	Point Estimation:
Week - 6	Methods of finding estimator; Method of moment, maximum likelihood asymptotic properties of maximum likelihood,
Week - 7	Applications of finding methods of estimators
Week - 8	Fisher information matrix, bayes estimators, invariant estimator.
Week - 9	Methods of evaluating estimators: Mean square error, best unbiased estimators.
Week - 10	Hypothesis testing: methods of finding test, likelihood ratio test, Walt test,
Week - 11	Hypothesis testing: Lagrange multipliers test, invariant test, bayesian test, asymptotic distribution of LRTs.
Week - 12	Applications of hypothesis testing
Week - 13	Methods of evaluating test: Power function, unbiased and invariant test.
Week - 14	Interval estimation: Methods of finding interval estimator.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
Toplam (%)		0