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Reliability Analysis
Objective: This paper aims at teaching the students to deal with reliability and replacement policies of statistical data.
Students will able to
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Course |
Learning outcomes (at course level |
Learning and teaching strategies |
Assessment Strategies
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Paper Code |
Paper Title |
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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.
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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 |
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.
Life distributions, reliability function; hazard rate; common life distributions-exponential, Weibull, Gamma etc. Estimation of parameters and tests in these models.
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
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.
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:
· https://epgp.inflibnet.ac.in/
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
