Here is a general outline for the Mathematics and Economics optional subjects, which may include some statistical topics:
Paper-I:
- Probability:
- Concept of probability
- Theoretical probability distributions
- Binomial and Poisson distributions
- Normal distribution and its properties
- Statistical Methods:
- Concept of statistical population and sample
- Measures of central tendency and dispersion
- Correlation and regression
- Statistical estimation and testing of hypothesis
- Inferential Statistics:
- Sampling theory and sampling distributions
- Analysis of variance
- Non-parametric tests
- Bayesian inference
- Linear Models:
- Linear regression
- Multivariate analysis
Paper-II:
- Stochastic Processes:
- Markov chains
- Brownian motion and Poisson process
- Multivariate Analysis:
- Principal component analysis
- Factor analysis
- Discriminant analysis
- Cluster analysis
- Optimization Techniques:
- Linear programming
- Quadratic programming
- Dynamic programming
- Game theory
- Quality Control:
- Control charts
- Acceptance sampling
- Time Series Analysis:
- Components of time series
- ARIMA models
- Exponential smoothing
- Demography and Vital Statistics:
- Measures of fertility, mortality, and migration
- Life tables and stable population
Again, it’s crucial to check the official UPSC website or the latest notification for the most accurate and updated information on optional subjects and their syllabi.
