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Statistical Quality Control - NMST541

Title:	Statistická kontrola jakosti
Guaranteed by:	Department of Probability and Mathematical Statistics (32-KPMS)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	summer
E-Credits:	5
Hours per week, examination:	summer s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Note:	the course is taught as cyclical

Guarantor:	prof. RNDr. Jaromír Antoch, CSc.
Class:	M Mgr. PMSE M Mgr. PMSE > Povinně volitelné
Classification:	Mathematics > Probability and Statistics
Is interchangeable with:	NSTP164, NSTP013

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KPMS (16.05.2013)

On-line statistical process control (Shewart CUSUM and EWMA control charts). Off-line statistical process control (detection of changes of parameters in the location model, in the model of linear regression and in the autoregression model, distribution of extremes). Sampling plans for inspection by attributes (case of isolated lots, continuous production, intermittent control). Sampling plans for inspection by measurement for univariate and multivariate data (normally and not normally distributed data). Requirements:basics of probability and statistics.

Aim of the course -

Last update: T_KPMS (16.05.2013)

The students will acquaint with the on-line and off-line stochastic approach to the quality control and with the methods of statistical sampling. Aside mathematical methods there will be discussed but also also their implementation in European norms.

Course completion requirements -

Last update: RNDr. Jitka Zichová, Dr. (14.06.2019)

Oral exam.

Literature - Czech

Last update: T_KPMS (16.05.2013)

Státní normy z oblasti řízení jakosti, zejména

ČSN 01 02 65, Statistická regulace

ČSN ISO 78 70, Regulační diagramy

ČSN 010254, Statistická přejímka srovnáváním

Sarkadi-Vincze,J.: Mathematical Methods of Quality Control

Beljajev,Ju., Solovjev, V. M.: Vyboročnyj metod kontrolja kačestva

Teaching methods -

Last update: T_KPMS (16.05.2013)

Lecture+exercises.

Requirements to the exam -

Last update: prof. RNDr. Jaromír Antoch, CSc. (28.02.2019)

Examination is oral within a framework of discussed matter given by the syllabus a scope presented during the lecture. TODO It is necessary to know all fundamental definitions, theorems and assertions (including the assumptions), understand ther inter relations and be capable in outline explain their justification (proofs). Student should be able to analyze real problems.

Syllabus -

Last update: T_KPMS (16.05.2013)

1. On-line statistical process control (Shewart control charts, CUSUM control charts, EWMA control charts).

2. Off-line statistical process control (detection of changes of parameters in the location model,

detection of changes of parameters in the model of linear regression, detection of changes

of parameters in the autoregression model, distribution of extremes).

3. Sampling plans for inspection by attributes (case of isolated lots, continuous production,

intermittent control).

4. Sampling plans for inspection by measurement for univariate and multivarialte data

(normally distributed data, not normally distributed data).

Entry requirements -

Last update: prof. RNDr. Jaromír Antoch, CSc. (04.06.2018)

Random variables and vectors and their characterizations; convergence in distribution, in probability and almost surely; central limit theorem; conditional density and conditional expectation.