INDIAN STATISTICAL SERVICE EXAMINATION,

Subject

Topics for UPSC IES ISS Syllabus

• Essay Writing
• Understanding of English language and vocabulary
• Summary or Precis Writing
• Passages

• General Knowledge
• Current Events or Affairs
• Indian Polity
• History of India
• Geography

• Classical & Axiomatic Definition of Probability,
• Law of total probability,
• Conditional probability,
• Bayes’ theorem and applications,
• Discrete and continuous random variables,
• Standard discrete & continuous probability distributions,
• Modes of convergences,
• Mathematical expectation and conditional expectation,
• Inversion,
• uniqueness and continuity theorems,
• Borel 0-1 law,
• Kolmogorov’s 0-1 law,
• Tchebycheff’s and Kolmogorov’s inequalities,
• Laws of large numbers &
• central limit theorems.

Statistical Methods:

• Collection,
• compilation & presentation of data/charts/diagrams/histogram,
• Frequency distribution,
• Measures of location/dispersion/skewness/kurtosis,
• Bivariate and multivariate data,
• Association and contingency,
• Curve fitting and orthogonal polynomials,
• Bivariate normal distribution,
• Regression-linear,
• polynomial,
• The correlation coefficient,
• Partial and multiple correlations,
• Intraclass correlation,
• Correlation ratio,
• Standard errors & large sample test,
• Sampling distributions of sample mean,
• Non-parametric tests,
• Order statistics,
• Concept of Asymptotic relative efficiency.

Numerical Analysis:

• Finite differences of different orders,
• Concept of interpolation and extrapolation,
• Inverse interpolation,
• Numerical differentiation,
• Summation of Series,
• Numerical solutions of differential equations,

Computer Application & Data Processing:

• Basics of Computer,
• Operations of a computer,
• Different units of a computer system,
• Output and peripheral devices,
• Software,
• system and application software,
• Operating systems,
• Low and High-level languages,
• RAM, ROM,
• unit of computer memory,
• Network – LAN, WAN, internet, intranet,
• Basics of computer security,
• Basics of Programming

• Theory of linear estimation,
• Gauss-Markov Linear Models,
• Error & Estimation Space,
• Normal Equations,
• Estimation of error variance,
• Estimation with correlated observations,
• Variances and covariances,
• One-way and two-way classifications,
• Analysis of variance,

Statistical Inference & Hypothesis Testing:

• Characteristics of a good estimator,
• Estimation methods,
• Minimum variance unbiased estimators,
• Minimum variance bound estimators,
• Hypothesis testing,

Official Statistics:

• National and International official statistical system,
• National Statistical Organization,
• National Statistical Commission,
• Index Numbers,
• Sector Wise Statistics,
• National Accounts,
• Population Census,
• Socio-Economic Indicators,
• Gender Awareness/Statistics,
• Important Surveys and
• Censuses.

• Concept of population and sample,
• Need for sampling,
• Complete enumeration versus sampling,
• Methodologies in sample surveys by NSSO,
• Subjective or purposive sampling,
• Probability sampling or random sampling,
• Estimation of population mean,
• Stratified random sampling,
• Covariance and Variance Function,
• Ratio,
• product and regression methods of estimation,
• Systematic sampling,
• Sampling with probability proportional to the size,
• Concept of multistage sampling and its application

Econometrics:

• Nature of econometrics,
• General Linear Model (GLM) and its extensions,
• Ordinary Least Squares (OLS) estimation and prediction,
• Generalized Least Squares (GLS) estimation and prediction,
• Heteroscedastic disturbances,
• pure and mixed estimation,
• Autocorrelation,
• Autocorrelation consequences and tests,
• Theil BLUS procedure,
• estimation and prediction,
• Linear regression and stochastic regression,
• Simultaneous linear equations model and its generalization,
• Estimation in simultaneous equations model.

Applied Statistics:

• Index Numbers,
• Time Series Analysis,
• Exploratory Time Series Analysis,
• Detailed study of the stationary processes,
• Discussion (without proof) of estimation of mean,
• Spectral analysis of the weakly stationary process

(50% Questions from all subsections below & Candidates need to choose two subsections)

Operations Research and Reliability:

• Definition & Scope of Operations Research,
• Transportation and assignment problems,
• Decision-making in the face of competition,
• Analytical structure of inventory problems,
• Queuing models,
• Sequencing and scheduling problems,
• Branch and Bound method,
• Replacement problems,
• PERT and CPM –
  • basic concepts,
  • Notions of aging,
  • Reliability estimation based on failure times.

Demography and Vital Statistics:

• Sources of demographic data,
• Complete life table and its main features,
• UN model life tables,
• Measurement of Fertility,
• Measurement of Mortality,
• Internal migration and its measurement,
• Projection method including logistic curve fitting

Survival Analysis & Clinical Trial:

• Concept of time,
• Life tables,
• failure rate,
• mean residual life,
• Estimation of the survival function,
• Two-sample problem,
• Semi-parametric regression for failure rate,
• Competing risk model,
• Data management,
• Design of clinical trials,
• Reporting and analysis

Quality Control:

• Statistical process and product control,
• General theory and review of control charts,
• Acceptance sampling plans for attribute inspection.

Multivariate Analysis:

• Multivariate normal distribution and its properties,
• Maximum likelihood estimators,
• Wishart matrix,
• Hotelling’s T2 and its sampling distribution,
• Classification problem,
• Principal components,
• dimension reduction.

Design and Analysis of Experiments:

• Analysis of variance for one-way and two-way classifications,
• Need for design of experiments,
• The basic principle of experimental design,
• Complete analysis as well as layout of the completely randomized design,
• Missing plot technique,
• Split Plot Design and Strip Plot Design,
• Factorial experiments,
• Analysis of covariance,
• Analysis of non-orthogonal data,
• Analysis of missing data.

Computing with C and R:

• Basics of C,
• Control Statements,
• Functions,
• Structure,
• Files in C,
• Statistics Methods and
• techniques in R.

Subject

Topics for UPSC IES ISS Syllabus

• Essay Writing
• Understanding of English language and vocabulary
• Summary or Precis Writing
• Passages

• General Knowledge
• Current Events or Affairs
• Indian Polity
• History of India
• Geography

• Theory of Consumer’s Demand,
• Theory of Production,
• Theory of Value,
• Theory of Distribution,
• Welfare Economics

Part – B:

• Mathematical Methods in Economics,
• Statistical and Econometric Methods

• Economic Thought,
• Concept of National Income and Social Accounting,
• Theory of employment,
• Output,
• Inflation,
• Money and Finance,
• Financial and Capital Market,
• Economic Growth and Development,
• International Economics,
• Balance of Payments,
• Global Institutions

• Public Finance,
• Environmental Economics,
• Industrial Economics,
• State,
• Market and Planning

• History of Development and Planning,
• Federal Finance,
• Budgeting and Fiscal Policy,
• Poverty Unemployment and Human Development,
• Agriculture and Rural Development Strategies,
• India’s experience with Urbanisation and Migration,
• Industry,
• Labour,
• Foreign Trade,
• Money and Banking,
• Inflation