Ders Planı

Lesson Information

Course Credit	3.0
Course ECTS Credit	5.0
Teaching Language of Instruction	Türkçe
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course	Compulsory
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?	Z
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Instructor (s)
Course Assistant

Purpose and Content

The aim of the course	This course aims to introduce students the basic knowledge and approaches used in mathematical statistics by enabling students recognize the estimation methods and properties of estimators.
Course Content	Students will acquire single and two-dimensional functions of random variables, the expected value of two-dimensional random variable functions, variance and moments, discrete two-dimensional probability functions, continuous two-dimensional probability density functions, conditional probability functions in two-dimensional, two-dimensional normal distribution, log normal distribution, uniform distribution , exponential distribution, gamma, beta, Cauchy, and weibull distribution and methods for obtaining a continuous review of distributions in general.

The aim of the course

This course aims to introduce students the basic knowledge and approaches used in mathematical statistics by enabling students recognize the estimation methods and properties of estimators.

Course Content

Students will acquire single and two-dimensional functions of random variables, the expected value of two-dimensional random variable functions, variance and moments, discrete two-dimensional probability functions, continuous two-dimensional probability density functions, conditional probability functions in two-dimensional, two-dimensional normal distribution, log normal distribution, uniform distribution , exponential distribution, gamma, beta, Cauchy, and weibull distribution and methods for obtaining a continuous review of distributions in general.

Learning Outcomes

Has theoretical knowledge in the field of statistics.
Has the ability to use the theoretical resources required for statistics
Has the ability to use the theoretical resources required for statistics
To be able to use the necessary theoretical content resources for statistics
Defines the studies related to statistics independently and with the partners
Describe the current problems with statistical methods
Defines the ability of abstract and analytical thinking
Comprehend the knowledge of computer software and programming technique to be able to apply the science of statistics effectively.
Analyze the theoretical knowledge in probability and statistics
Evaluate different databases as required
Evaluates the outputs of applied questionnaires
Applies the concepts and thoughts in the field with scientific methods
Arrange the data related to the field
Solve the identified statistical problems
Prepares surveys
Develops solutions based on identified statistical problems, evidence and research
Contributes to the professional development of the employees under their management
Define new topics related to statistics
Give lectures and seminars about statistics and probability
Determines the needs for learning
Develops original attitudes towards lifelong learning by guiding learning processes related to learning
He/She organizes projects and activities for the social environment in which he/she lives with an awareness of social responsibility
Students will be able to communicate their solutions to problems related to statistics in written and oral forms
Supports suggestions for solutions and thoughts with quantative and quantative data
Follow developments in the field by using a foreign language
Uses computer software and information-communication-network technologies at the level required by the science of statistics
Students will have social, scientific and ethical values in the publication of the data related to the fields of science
Quality management and process, environmental protection, occupational health and safety issues has sufficient awareness
Gain social, scientific and ethical values in the stages of collecting, interpreting and announcing the data related to the fields of science
Has knowledge about the legal consequences of statistical applications

Weekly Course Subjects

1	One-dimensional random variables, probability functions
2	Two-dimensional random variables, probability functions
3	One-dimensional discrete random variables, probability functions
4	Two-dimensional continuous random variables, probability functions
5	One-dimensional discrete random variables, probability distribution functions
6	Two-dimensional discrete random variables, probability distribution functions
7	One-dimensional continuous random variables, probability distribution functions
8	Two-dimensional continuous random variables, probability distribution functions
9	One-dimensional discrete random variable marginal probability functions and midterm
10	Two-dimensional discrete random variable marginal probability functions
11	One-and two-variables discrete and continuous functions of the conditional probability and distribution probability functions
12	Discrete and continuous functions of One-and two-variables and their expected values
13	One-and two-variable discrete and continuous functions and their moments
14	Probability and distribution some special functions to obtain

Resources

1.Bener A., Matematiksel İstatistik Cilt I, YTÜ vakfı,2002.

2.Bener A., Matematiksel İstatistik Cilt II, YTÜ vakfı,2002.

3.Mustafa Aytaç, Matematiksel İstatistik, Ezgi Kitapevi, Bursa, 2004

4.İbrahim Hasgür, Matematiksel İstatistik, seçkin yayıncılık, Ankara, 2000

5.İsmail Erdem, Matematiksel İstatistik, Olasılık-Beklenen Değer- Parametre Tahmini-, seçkin yayıncılık,Ankara, 2012

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CLASS 4

Lesson Information

Purpose and Content

Learning Outcomes

Weekly Course Subjects

Resources

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