MA7155 APPLIED PROBABILITY AND STATISTICS
UNIT I ONE DIMENSIONAL RANDOM VARIABLES 9+3
Random variables - Probability function – Moments – Moment generating functions and
their properties – Binomial, Poisson, Geometric, Uniform, Exponential, Gamma and Normal
distributions – Functions of a Random Variable.
UNIT II TWO DIMENSIONAL RANDOM VARIABLES 9+3
Joint distributions – Marginal and Conditional distributions – Functions of two dimensional
random variables – Regression Curve – Correlation.
UNIT III ESTIMATION THEORY 9+3
Unbiased Estimators – Method of Moments – Maximum Likelihood Estimation - Curve fitting
by Principle of least squares – Regression Lines.
UNIT IV TESTING OF HYPOTHESES 9+3
Sampling distributions - Type I and Type II errors - Tests based on Normal, t,2 and F
distributions for testing of mean, variance and proportions – Tests for Independence of
attributes and Goodness of fit.
UNIT V MULTIVARIATE ANALYSIS 9+3
Random Vectors and Matrices - Mean vectors and Covariance matrices - Multivariate
Normal density and its properties - Principal components Population principal
components - Principal components from standardized variables.
TOTAL 45+15=60 PERIODS
REFERENCES:
1 Jay L. Devore, “Probability and Statistics For Engineering and the Sciences”,Thomson
and Duxbury, 2002.
2.Richard Johnson. ”Miller & Freund’s Probability and Statistics for Engineer”, Prentice –
Hall , Seventh Edition, 2007.
3.Richard A. Johnson and Dean W. Wichern, “Applied Multivariate Statistical Analysis”,
Pearson Education, Asia, Fifth Edition, 2002.
4.Gupta S.C. and Kapoor V.K.”Fundamentals of Mathematical Statistics”, Sultan an Sons,
2001.
5.Dallas E Johnson , “Applied Multivariate Methods for Data Analysis”, Thomson an Duxbury
press,1998.
UNIT I ONE DIMENSIONAL RANDOM VARIABLES 9+3
Random variables - Probability function – Moments – Moment generating functions and
their properties – Binomial, Poisson, Geometric, Uniform, Exponential, Gamma and Normal
distributions – Functions of a Random Variable.
UNIT II TWO DIMENSIONAL RANDOM VARIABLES 9+3
Joint distributions – Marginal and Conditional distributions – Functions of two dimensional
random variables – Regression Curve – Correlation.
UNIT III ESTIMATION THEORY 9+3
Unbiased Estimators – Method of Moments – Maximum Likelihood Estimation - Curve fitting
by Principle of least squares – Regression Lines.
UNIT IV TESTING OF HYPOTHESES 9+3
Sampling distributions - Type I and Type II errors - Tests based on Normal, t,2 and F
distributions for testing of mean, variance and proportions – Tests for Independence of
attributes and Goodness of fit.
UNIT V MULTIVARIATE ANALYSIS 9+3
Random Vectors and Matrices - Mean vectors and Covariance matrices - Multivariate
Normal density and its properties - Principal components Population principal
components - Principal components from standardized variables.
TOTAL 45+15=60 PERIODS
REFERENCES:
1 Jay L. Devore, “Probability and Statistics For Engineering and the Sciences”,Thomson
and Duxbury, 2002.
2.Richard Johnson. ”Miller & Freund’s Probability and Statistics for Engineer”, Prentice –
Hall , Seventh Edition, 2007.
3.Richard A. Johnson and Dean W. Wichern, “Applied Multivariate Statistical Analysis”,
Pearson Education, Asia, Fifth Edition, 2002.
4.Gupta S.C. and Kapoor V.K.”Fundamentals of Mathematical Statistics”, Sultan an Sons,
2001.
5.Dallas E Johnson , “Applied Multivariate Methods for Data Analysis”, Thomson an Duxbury
press,1998.
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