Statistical Methods |
UNIT I |
Sample spaces - events - Axiomatic approach to probability -
conditional probability - Independent events - Baye's formula - Random
Variables - Continuous and Discrete random variables - distribution function of
a random variables - Characteristic of distributions - Expectation, variance -
coefficient of variation, moment generation function - Chebyshev's inequality |
UNIT II |
Bivariate distribution - conditional and marginal distributions - Discrete
distributions - discrete uniform, Binomial poison and geometric Distributions -
Continuous distributions - Uniform, Normal, Exponential and Gamma
distributions. |
UNIT III |
Correlation coefficient - Rank correlation coefficient of determination -
Linear Regression - Method of Least squares - Fitting of the curve of the form
ax + b, ax2 + bx + c, abx and axb - multiple and partial correlation (3 - variables
only). |
UNIT IV |
Concept of sampling – Methods of sampling - simple random sampling
- Systematic sampling and stratified random sampling (descriptions only) -
concepts of sampling distributions and standard error - point estimation
(concepts only) - Interval Estimation of mean and proportion. Tests of
Hypotheses - Critical Region - two types of Errors - Level of significance -
power of the test - Large sample tests for mean and proportion - Exact tests
based on Normal, t, F and Chi-square distributions. |
UNIT V |
Basic principles of experimentation - Analysis of variance - one way
and two way classifications - computing randomized design - Randomized
Block design - Time series Analysis - Measurement of Trend and Seasonal
variations. |
Text Books |
(i) Mood, A.M., Graybill, F. and Boes, 1974, Introduction to Mathematical Statistics,
McGraw-Hill.
(ii) Trivedi, K.S, 1994, Probability and Statistics with Reliability, Queuing and
Computer Science Applications. Prentice Hall India, New Delhi. |
Reference Books |
(i) Arnold O. Allen, 1978, Probability, Statistics and Queuing Theory with Computer
Science Application.
(ii) Bajpai, A.C. Calus, I.M. Fairley, J.A., 1979, Statistical Methods for Engineers and
Scientists. John Wiley & Sons.
(iii) Doughlas, C.,Montagomery, Lynwood,A. & Johnson, 1976, Forecasting and Time
Series Analysis, Tata McGraw-Hill, New Delhi.
(iv) Baisnab, A.P. and Manoranjan Jas, 1993, Elements of Probability and Statistics,
Tata McGraw-Hill, New Delhi.
(v) Kossack, C.F. and Hensschkec, C.I., Introduction to Statistics and Computer
Programming, Tata McGraw-Hill, New Delhi. |
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