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Statistics II

Module name (EN): Statistics II
Degree programme: Mechatronics, Master, ASPO 01.04.2020
Module code: MTM.STA
Hours per semester week / Teaching method: 1V+1U (2 hours per week)
ECTS credits: 3
Semester: according to optional course list
Mandatory course: no
Language of instruction:
German
Assessment:
Written exam and mini-project

[updated 01.10.2020]
Applicability / Curricular relevance:
E2935 Electrical Engineering and Information Technology, Master, ASPO 01.04.2019, optional course, technical
E938 Electrical Engineering, Master, ASPO 01.10.2005, semester 9, optional course
E1922 Electrical Engineering, Master, ASPO 01.10.2013, optional course, technical
MTM.STA Mechatronics, Master, ASPO 01.04.2020, optional course, technical
MST.STA Mechatronics and Sensor Technology, Master, ASPO 01.04.2016, optional course, technical
MST.STA Mechatronics and Sensor Technology, Master, ASPO 01.10.2011, optional course, technical
Workload:
30 class hours (= 22.5 clock hours) over a 15-week period.
The total student study time is 90 hours (equivalent to 3 ECTS credits).
There are therefore 67.5 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Gerald Kroisandt
Lecturer: Prof. Dr. Gerald Kroisandt

[updated 30.01.2019]
Learning outcomes:
Statistical methods play an important role in engineering-related studies, especially in electrical engineering, e.g. in analyzing stochastic signals and processes, planning experiments and evaluating observed data, modeling, simulating and optimizing processes, recognizing and modeling interrelationships.
Based on the basic course "Probability Calculation" (Higher Mathematics II (Part: Statistics) (E806), students in this course will learn advanced statistics methods. Mini-projects will help students learn to plan and implement the solution of more complex problems with more extensive data material using a statistics programming language (e.g. R).
After attending the lecture, they will be able to solve more complex statistical problems, as they occur in communications engineering and automation engineering, independently and in cooperation with mathematicians.

[updated 01.10.2020]
Module content:
1. Statistical inference methods
  1.1 Hypothesis testing
  1.2 Distribution tests
2. Generating random numbers
3. Stochastic processes
  (Definition, classification, covariance function and spectral density,      
  cross correlation function, stationarity, ergodicity)
4. Markov chains and applications in coding and information theory
5. Poisson point process
6. Markov processes
7. Birth and death processes
8. Introduction to traffic theory (= queueing theory)
9. Introduction to the simulation of discrete systems
10. Mini-projects
11. Stochastic signals
 
Depending on the clientele further/other topics:
 
12. Introduction to further statistical methods
   12.1 Regression and correlation analysis
   12.2 Analysis of variance
   12.3 Mini-projects

[updated 01.10.2020]
Teaching methods/Media:
Blackboard, overhead projector, video projector, lecture notes, PC

[updated 13.03.2010]
Recommended or required reading:
B.Grabowski: _ ActiveMath:Statistik: Statistik für Ingenieure technischer Fachrichtungen an Fachhochschulen - e-Lerning-Buch_,
H.Weber: _Einführung in die Wahrscheinlichkeitsrechnung und Statistik für Ingenieure_
B.Grabowski:_ Lexikon der Statistik_, Elsevier-Verlag, 2001
B.Grabowski:_ Stochastik_, Lehrmaterial für das Fernstudium, Zentralstelle für Fernstudien an Fachhochschulen , ZFH Koblenz, 2004.
B.Grabowski:_ Die Simulationssprache AWESIM_, Lehrmaterial für das Fernstudium, Zentralstelle für Fernstudien an Fachhochschulen , ZFH Koblenz, 2000.
B.Grabowski:_ Mathematische Methoden bei der Simulation diskreter Systeme_,
Lehrmaterial für das Fernstudium, Zentralstelle für Fernstudien an Fachhochschulen , ZFH Koblenz, 2000.
 
To be found at  www.htw-saarland.de/fb/gis/mathematik:
1) Vorlesungs-Skript I and II (Lecture notes I and II) - Internet
2) Formelsammlungen 1 und 2 zum Skript I und II (Formulas 1 and 2 for script I and II)
3) Übungsaufgaben und Lösungen zum Skript I und II (Exercises and solutions to script I and II)
4) Lernserver ACTIVEMATH

[updated 01.10.2020]
[Wed Dec  8 20:44:14 CET 2021, CKEY=esi, BKEY=mechm, CID=MTM.STA, LANGUAGE=en, DATE=08.12.2021]