Coming soon
Reliability Analysis
This paper aims at teaching the students to deal with reliability and replacement policies of statistical data.
Students will able to
|
Course |
Learning outcomes (at course level |
Learning and teaching strategies |
Assessment Strategies
|
|
|---|---|---|---|---|
|
Paper Code |
Paper Title |
|||
|
STT-324(C) |
Reliability Analysis |
CO 83: Deal with the reliability concepts in the real world
CO 84: Analyze the data of various life tables and estimate the parameters.
CO 85: Analyze the problem with the help of data and distribute it in different types of reliability classes.
CO 86: Characterize probability models and function of random variables based on single & multiples random variables.
CO 87: Find out which policy has to be framed on the given data and also identify the reliability of that policy.
|
Approach in teaching: Interactive Lectures, Group Discussion, Classroom Assignment Problem Solving Sessions
Learning activities for the students: Assignments Seminar Presentation Subject based Activities |
Classroom Quiz Assignments Class Test Individual Presentation |
Unit-I
Reliability: Concepts and measures, components and systems, coherent systems, reliability of coherent systems; cuts and paths, modular decomposition, bounds on system reliability, structural and reliability importance of components.
Unit –II
Life distributions, reliability function; hazard rate; common life distributions-exponential, Weibull, Gamma etc. Estimation of parameters and tests in these models
Unit-III
Notations of ageing, IFR, IFRA, NBU, DMRL and NBUE classes and their duals, loss of memory property of the exponential distribution; closures or these classes under formation of coherent systems, convolutions and mixtures
Unit-IV
Univariate shock models and life distributions arising out of them; bivariate shock models; common bivariate exponential distributions and their properties. Reliability estimation based on failure times in variously censored life tests and in tests with replacement of failed items stress-strength reliability and its estimation.
Unit-V
Maintenance and replacement policies, availability of repairable systems, modeling of a repairable system by a non-homogeneous Poisson process. Reliability growth models, probability plotting techniques, Hollander-Proschan and Deshpande tests for exponentiality; tests for HPP vs. NHPP with repairable systems. Basic ideas of accelerated life testing.
- Barlow, R.E. and Proschan, F.(1985): Statistical Theory of Reliability and Life Testing, Holt,Rinehart and Winston.
- Lawless, J.F. (1982): Statistical Models and Methods of Life Time Data, John Wiley.
- Bain, L.J. and Engelhardt, (1991): Statistical Analysis of Reliability and Life Testing Models, Marcel Dekker, sixth edition.
SUGGESTED READINGS:
- Nelson, W (2003): Applied Life Data Analysis, John Wiley.
- Zacks, S.(2004): Reliability Theory, Springer.
- Sinha, S.K.(1986): Reliability & Life Testing,Wiley
- Cox, D.R. and Oakes, D (1984): Analysis of Survival Data, Chapman and hall , New York.
- Kalbfleisch , J.D. & Prentice, R.L. (2002): The Statistical Analysis of Failure Time Data, John Wiley.
e-RESOURCES:
JOURNALS:
- Sankhya The Indian Journal of Statistics, Indian Statistical Institute
- Aligarh Journal of Statistics, Department of Statistics and Operations Research, Aligarh Muslim University
- Afrika Statistika, Saint-Louis Senega University
- International Journal of Statistics and Reliability Engineering, Indian Association for Reliability and Statistic
- Journal of the Indian Society for Probability and Statistics, Indian Society for Probability and Statistics
- Journal of the Indian Statistical Association, Indian Statistical Association
- Statistica, Department of Statistical Sciences Paolo Fortunato, University of Bologna
- Statistics and Applications, Society of Statistics, Computer and Applications
- Stochastic Modeling and Applications, MUK Publications and Distributions
