The use of statistical reasoning and methodology is indispensable in modern world. It is true for any discipline, be it physical sciences, engineering and technology, economics or social sciences. Much of the advanced research in biology, genetics, and information science relies increasingly on use of statistical tools. It is essential for the students to get acquainted with the subject of probability and statistics at an early stage. The present course has been designed to introduce the subject to undergraduate/postgraduate students in science and engineering. The course contains a good introduction to each topic and an advance treatment of theory at a fairly understandable level to the students at this stage. Each concept has been explained through examples and application oriented problems.

WeekNo.

Topics

1.

Algebra of Sets – 2 lectures

Introduction to Probability – 2 lectures

2.

Conditional Probability – 1 lecture

Problems on Probability – 1 lecture

Random Variables and Probability Distributions – 2 lectures

3.

Characteristics of distributions – 1 lecture

Special distributions -3 lectures

4.

Special distributions - 4 lectures

5.

Functions of a random variable – 1 lecture

Jointly distributed random variables – 3 lectures

6.

Jointly distributed random variables – 1 lecture

Transformations of random vectors – 1 lecture

Sampling distributions – 2 lectures

7.

Descriptive statistics – 2 lectures

Point estimation – 2 lectures

8.

Point estimation – 2 lectures

Confidence intervals – 2 lectures

9.

Testing of Hypothesis – 4 lectures

10.

Testing of Hypothesis – 4 lectures

Must have good knowledge of Differential and Integral Calculus, sequences and series, Basic Linear/Matrix Algebra (usually students who have completed Mathematics-I and II at first year undergraduate level.

An Introduction to Probability and Statistics by V.K. Rohatgi & A.K. Md. E. Saleh

Introduction to Probability and Statistics by J.S. Milton & J.C. Arnold

Introduction to Probability Theory and Statistical Inference by H.J. Larson

Introduction to Probability and Statistics for Engineers and Scientists by S.M. Ross

Probability and Statistics in Engineering by W.W. Hines, D.C. Montgomery, D.M. Goldsman, C.M. Borror

Probability and Statistics for Engineers and Scientists by R.E. Walpole, R.H. Myers, S.L. Myers, Keying Ye

Modern Mathematical Statistics by E.J. Dudewicz & S.N. Mishra

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