← CSIR-NET Mathematics guide CSIR-NET Mathematics · Unit 4
Statistics, Data Analysis & Operations Research
Probability, statistical inference and multivariate analysis, plus operations research (linear programming, queuing & inventory). Per the official exam rule this unit is answered mainly by statistics-stream candidates — for a mathematics aspirant the operations-research topics are the relevant part, and our Operations Research title covers them.
Books that cover Unit 4
Looking for the right book for this unit? These are the titles from our M.Sc range that cover it — tap through for full contents, price and buy options.
Full syllabus — Unit 4
- Descriptive statistics & exploratory data analysis
- Probability: sample space, independent events, Bayes theorem, random variables & distribution functions
- Expectation & moments; marginal & conditional distributions; characteristic functions
- Probability inequalities (Tchebyshef, Markov, Jensen); laws of large numbers; Central Limit Theorem
- Markov chains; Poisson and birth-and-death processes; standard discrete & continuous distributions
- Sampling distributions; order statistics; standard errors & asymptotic distributions
- Statistical inference: estimation, confidence intervals, hypothesis testing (MP, UMP, likelihood-ratio tests)
- Chi-square goodness of fit; large-sample tests; nonparametric tests; rank correlation
- Gauss–Markov models; BLUE; ANOVA & ANCOVA; simple & multiple linear regression; logistic regression
- Multivariate normal & Wishart distributions; principal component, discriminant, cluster & canonical-correlation analysis
- Sampling techniques: simple random, stratified & systematic sampling; probability-proportional-to-size sampling; ratio & regression methods
- Design of experiments: completely randomized, randomized block & Latin-square designs; BIBD; 2^K factorial experiments (confounding & construction)
- Reliability: hazard function & failure rates; censoring & life testing; series and parallel systems
- Operations research: linear programming problem, simplex method, duality; elementary queuing & inventory models; steady-state Markovian queuing models (M/M/1, M/M/C, M/G/1)
Not in our range yet — The statistics core of this unit — probability, statistical inference and multivariate analysis — is not yet in our M.Sc range (and is answered mainly by statistics-stream candidates). Pair with a dedicated statistics title if you need it.