Statistics, 6 credits

Matematisk statistik, 6 hp

TNG006

Course starting semester

Main field of study

Mathematics Applied Mathematics

Course level

First cycle

Course type

Programme course

Examiner

George Baravdish

Director of studies or equivalent

George Baravdish

Education components

Preliminary scheduled hours: 52 h
Recommended self-study hours: 108 h

Possible deviation from course syllabus/programme syllabus

ECV = Elective / Compulsory / Voluntary

Course offered for		Semester	Period	Timetable module	Language	Campus	ECV
6CKTS	Communication and Transportation Engineering, M Sc in Engineering	4 (Spring 2017)	2	1	Swedish	Norrköping, Norrköping	C
6CIEN	Electronics Design Engineering, M Sc in Engineering	4 (Spring 2017)	2	1	Swedish	Norrköping, Norrköping	C
6CMEN	Media Technology and Engineering, M Sc in Engineering	4 (Spring 2017)	2	1	Swedish	Norrköping, Norrköping	C

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G2X

Course offered for

Electronics Design Engineering, M Sc in Engineering
Communication and Transportation Engineering, M Sc in Engineering
Media Technology and Engineering, M Sc in Engineering

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Calculus in several variables

Intended learning outcomes

The course is intended to teach students to understand and use basic probability and statistical theory, that is, the theory for dealing with random experiments. The emphasis is on developing the statistical background required for use in engineering, economy and natural sciences. After the course the students should be able to:

Model and use both events and stochastic variables in different problems
Use conditional probability
Use the multiplication rule and combinations
Good understanding, derivation and use of distribution functions
Decide whether given random variables are independent
Calculate the expected value and variance for functions of stochastic variables
Use the Central Limit Theorem
Point estimation by Maximum likelihood, moment and least squares methods
Determine interval of confidence for mean and variance
Testing a hypothesis
Use regression analysis

Course content

Probability theory: Sample space, events and probabilities. Combinatorics. Conditional probabilities and independent events. Discrete and continuous random variables, their probability distributions, expectations and variances. Normal, exponential, binomial, Poisson distributions etc. Functions of random variables. The central limit theorem.
Statistics: Point estimation. Properties of estimators. The method of maximum likelihood, the method of moments and the least squares estimation. Confidence intervals. Testing statistical hypotheses. Simple linear regression.

Teaching and working methods

Lectures and sessions of exercises.

Examination

KTR1	Written test	0 credits	U, G
TEN1	Written examination	6 credits	U, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Institutionen för teknik och naturvetenskap

Director of Studies or equivalent

George Baravdish

Examiner

George Baravdish

Course website and other links

http://www2.itn.liu.se/utbildning/kurs/

Education components

Preliminary scheduled hours: 52 h
Recommended self-study hours: 108 h

Course literature

Gunnar Blom m. fl.: Sannolikhetsteori och statistikteori med tillämpningar. (Studentlitteratur) Problemsamling för kursen TNG006. Formelsamling i matematisk statistik (utgiven av ITN)

Code	Name	Scope	Grading scale
KTR1	Written test	0 credits	U, G
TEN1	Written examination	6 credits	U, 3, 4, 5

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Course literature is preliminary.

Gunnar Blom m. fl.: Sannolikhetsteori och statistikteori med tillämpningar. (Studentlitteratur) Problemsamling för kursen TNG006. Formelsamling i matematisk statistik (utgiven av ITN)

Download

Download course literature list as PDF

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize

		U	A
1. DISCIPLINARY KNOWLEDGE AND REASONING
	1.1 Knowledge of underlying mathematics and science (G1X level)		X
	1.2 Fundamental engineering knowledge (G1X level)		X
	1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
	1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)
	1.5 Insight into current research and development work
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
	2.1 Analytical reasoning and problem solving	X
	2.2 Experimentation, investigation, and knowledge discovery
	2.3 System thinking
	2.4 Attitudes, thought, and learning	X
	2.5 Ethics, equity, and other responsibilities
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
	3.1 Teamwork
	3.2 Communications	X
	3.3 Communication in foreign languages
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
	4.1 External, societal, and environmental context
	4.2 Enterprise and business context
	4.3 Conceiving, system engineering and management
	4.4 Designing
	4.5 Implementing
	4.6 Operating
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
	5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development
	5.2 Economic conditions for knowledge development
	5.3 Identification of needs, structuring and planning of research or development projects
	5.4 Execution of research or development projects
	5.5 Presentation and evaluation of research or development projects

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