Descriptive Statistics & Data Analysis


Dr. Mohammed Siddique


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Descriptive Statistics & Data Analysis

Code (Credit) : CUNT2484 (3-0-1)

Course Outline


Random variables and distributions functions (univariate and multivariate); Expectations and moments.Marginal and conditional distributions. Characteristic functions.


Standard discrete and continuous univariate distributions.Sampling distributions, Standard errors and asymptotic distributions, Distributions of order statistics and range.


Simple non-parametric tests for one and two sample problems, Rank correlation, and test for independence.


Analysis of variance and covariance. Fixed, random and mixed effects models. Simple and multiple linear regression, Logistic regression.


Multivariate normal distribution, Wishart distribution, and their properties. Distributions of quadratic forms. Inference for parameters.


Data reduction techniques: Principle component analysis, Discriminant analysis, Cluster analysis.


Simple random sampling, stratified sampling, and systematic sampling. Probability proportional to size sampling.


Prepare a report on Gauss Markov models

Prepare a report on correlation and regression analysis

Text Book:   

  1. Irwin Miller and Marylees Miller, John E. Freund, Mathematical Statistics with Applications, 7th Ed., Pearson Education, Asia, 2006.
  1. Sheldon Ross, Introduction to Probability Models, 9th Ed., Academic Press, Indian Reprint, 2007.
  2. Devore, J. L.: Probability & Statistics for Engineering and the Sciences, 8th edition, Cengage Learning, 2012.

Reference Book:

  1. Milton, J. S. and Arnold J. C.: Introduction to Probability and Statistics: Principles andApplicationsforEngineering and theComputing Sciences, 4th edition, TataMcGraw-Hill, 2007.
  2. Johnson, R. A., Miller: Freund’s Probability and Statistics for Engineers, 8th edition, PHI, 2010.
  3. Meyer, P.L.:IntroductoryProbabilityandStatisticalApplications,2ndedition, Addison-Wesley, 1970.
  1. Ross, S. M.: Introduction to Probability Models, 11th edition, Academic Press, 2014.

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Our Main Teachers

Dr. Mohammed Siddique

Asst. Prof. Department of Mathematics

Dr. Mohammed Siddique, received Ph. D in Mathematics in the area of Optimization Techniques and Machine Learning from KIIT, Deemed to be University, Bhubaneswar and completed his M.Sc in Mathematics and M.Tech in Computer Science from Utkal University, Bhubaneswar.  He is having more than 16 years of teaching experience. He is having more than 50 […]