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# isical.ac.in ISI Admission Test JRF QROR Syllabus : Indian Statistical Institute

** Organisation **: Indian Statistical Institute

**: Syllabus**

__Announcement__**: ISI Admission Test**

__Name of Examination__**: JRF Junior Research Fellowship**

__Degree__**: QROR Quality, Reliability & Operations Research**

__Subject__** Home Page **: http://www.isical.ac.in/

**: http://www.syllabus.gen.in/uploads/1255-JRF-QROR.pdf**

__Download Syllabus__## QROR Syllabus :

The syllabus for JFR (QROR) will include the following subject groups :

** 1 Group A**

i) Mathematics

Related: ISI Admission Test JRF Physics, Sociology Syllabus Indian Statistical Institute : www.syllabus.gen.in/1249.html

ii) Statistics (including Probability)

**2 Group B**

i) Operations Research

ii) Quality Management

iii) Reliability

iv) Statistical Quality Control

A broad coverage for each of the above subject groups is given below.

** A. Mathematics** :

Algebra, Calculus, Set Theory, Vectors and Matrices (all at B.Sc. level).

** B. Statistics **:

Elementary Probability and distribution theory, Bi variate distributions, Multi Variate normal distribution, Regression and linear models, Estimation, Test of hypothesis, Design of experiments (block design ,full and fractional factorial designs),Markov chain.

** C. Operations Research **:

Linear programming (basic theory, simplex algorithm and its Variants , duality theory, transportation and assignment problem), Non -linear programming-basic theory, Game theory (two person Zero Sum Game )

** D. Quality Management **:

Quality concepts, Quality costs, Total Quality Management Six Sigma

** E. Reliability **:

Coherent and system reliability, Hazard function, Failure time disitribution, Censoring schemes, Estimation and testing in reliability Replacement models, Repairable system.

** F. Statistical Quality Control **:

Statistical process control attribute and variable control charts, Control charts with Memory (CUSUM, EWMA etc.) (uni variate only), Multivariate control chart, Process capability analysis, QC tools, Acceptance and Sampling.