Coming soon
Applied Statistics
This course is meant for exposing the students to the concepts of Statistical Quality Control and their applications, index number, demand and time series analysis.
Control-Charts: Concept and construction of control charts for variables and attributes and their OC Curve. Modified control limits. Acceptance Sampling Plans by Attribute: AQL, AOQL, Producer’s Risk and Consumer Risk. Rectification and their O.C. function, ASN and ATI .
Single and double sampling plans and their mathematical analysis. Idea of Standard sampling tables: Dodge and Romig tables. Sampling Inspection Plans for Variables: One sided specification standard (Known and Unknown Cases), two sided specifications (for known standards).
Index Number : Meaning and uses, problem in the construction of index numbers, price relatives, quantity and value relatives. Fixed base and chain base index numbers. Laspeyers, Paasche’s, Marshall-Edgeworth and Fisher’s ideal index numbers. Test for index numbers. Base shifting, Construction of cost of living index and Whole-sale price index. Theory and analysis of consumer demand, estimations of demand function. Demand and income elasticity. Income Distributions: Pareto’s law of income distributions. Engle’s curve, curves of concentration.
Time Series Analysis- Definition and its different components, additive and multiplicative models. Different methods of determining trend and seasonal and cyclic fluctuations, their merits and demerits. Time series as discrete parameter stochastic process, auto-covariance and auto-correlation functions and, their properties.
Detailed study of the stationary processes: (i) moving average (MA), (ii) auto-regressive (AR),(iii) ARMA, and, (iv) AR integrated MA (ARIMA) models. Box-Jenkins models. Discussion (withoutproof) of estimation of mean, auto-covariance and auto-correlation functions under large sample theory.Choice of AR and MA orders. Estimation of ARIMA model parameters.
Books Recommended/Reference Books
1. Cowden, D.J. (1957): Statistical Methods in Quality Control, Prentice Hall of India.
2. Duncan, A.J. (1986): Quality Control and Industrial Statistics, 5th Ed. Irwin Book Co.
3. Gran,t E.L. & Leavenworth, R.S. (1996): Statistical Quality Control, 7th Ed. McGraw Hill.
4. Montgomery, D.C. (2005): Introduction to Statistical Quality Control, 5th Ed. John Wiley.
5. Wetherhil, G.B. (1977): Sampling Inspection and Quality Control, Halsted Press.
6. Box GEP, Jenkins GM & Reinsel GC. (2007): Time Series Analysis:Forecasting and Control. 3rd Ed. Pearson Edu.
7.Anderson. T.W. (1971): The Statistical Analysis of Time Series, Wiley.
8.Bloomfield, P. (2000): Fourier Analysis of Time Series: An Introduction, Second Edition, Wiley.
9.Box, G.E.P., Jenkins, G. W. and Reinsel, G.C. (1994): Time Series Analysis: Forecasting and Control,Prentice Hall.
10.Chatfield, C. Analysis of Time Series - Theory and Practice, Chapman and Hall.
11. Kendall, MG. (1974): Time Series, CnMles Griffin, London.
12. Montgomery, D.C. and Johnson, L.A (1977): Forecasting and Time Series Analysis, McGraw Hill.
13. Biswas, S.(2008): Statistics of Quality Control, New Central Book Agency
