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Indian Statistical Service - ISS
Exam Syllabus (General Economics)
Standard and Syllabi for ISS Exam
papers in General English and General Studies will be suchas may be
expected of a graduate of an Indian University.
Thestandard of papers in the other subjects will be
that of the Master'sdegree examination of an Indian University in the
relevant disciplines.The candidates will be expected to illustrate
theory by facts, and toanalyse problems with the help of
They will be expected to be
particularly conversant with Indian problems in the field of
Candidateswill be required to write an essay in
English. Other questions will bedesigned to test their understanding of
English and workmanlike use ofwords. Passages will usually be set for
summary or precis.
GeneralKnowledge including knowledge of current
events and of such matters ofevery day observation and experience in
their scientific aspects as maybe expected of an educated person who
has not made a special study ofany scientific subject.
The paper willalso include questions on Indian
Polity including the political systemand the Constitution of India,
History of India and Geography of anature which the candidate should be
able to answer without specialstudy.
Standard and Syllabi
Elementsof measure theory, Classical definitions and
axiomatic approach. Samplespace. Class of events and Probability
measure. Laws of total andcompound probability. Probability of m events
out of n. Conditionalprobability, Bayes' theorem. Random variables -
discrete andcontinuous. Distribution function.
Standardprobability distributions - Bernoulli,
uniform, binomial, Poisson,geometric, rectangular, exponential, normal,
Cauchy, hypergeometric,multinomial, Laplace, negative binomial, beta,
gamma, lognormal andcompound. Poisson distribution. Joint
distributions, conditionaldistributions, Distributions of functions of
distribution, in probability, with probability one and in meansquare.
Moments and cumulants. Mathematical expectation and
conditionalexpectation. Characteristic function and moment and
probabilitygenerating functions Inversion uniqueness and continuity
theorems.Borel 0-1 law: Kolmogorov's 0-1 law.
Tchebycheff'sand Kolmogorov's inequalities. Laws of
large numbers and central limittheorems for independent variables.
Conditional expectation andMartingales.
iii) Numerical Analysis
Interpolationformulae (with remainder terms)
due to Lagrange, Newton-Gregory, NewtonDivided different, Gauss and
Striling. Euler-Maclaurin's summationformula. Inverse interpolation.
Numerical integration anddifferentiation. Difference equations of the
first order. Lineardifference equations with constant
linear estimation. Gauss-Markoff setup. Least square estimators. Useof
g-inverse. analysis of one-way and two way classified data-fixed,mixed
and random effect models. Tests for regression coefficients.
Characteristicsof good estimator. Estimation methods
of maximum likelihood, minimumchi-square, moments and least squares.
Optimal properties of maximumlikelihood estimators. Minimum variance
unbiased estimators. Minimumvariance bound estimators. Cramer-Rao
inequality. Bhattacharya bounds.Sufficient estimator. factorisation
theorem. Complete statistics.
Rao-Blackwell theorem. Confidence interval
estimation. Optimum confidence bounds. Resampling, Bootstrap and
iii) Hypotheses testing and
Statistical Quality Control
Multivariatenormal distribution. Estimation of mean
Vector and covariance matrix.Distribution of Hotelling's T2-statistic,
Mahalanobis's D2-statistic,and their use in testing. Partial and
multiple correlation coefficientsin samples from a multivariate normal
population. Wishart'sdistribution, its reproductive and other
properties. Wilk's criterion.Discriminant function. Principal
components. Canonical variates andcorrelations.
i) Sampling Techniques
Censusversus sample survey. Pilot and large
scale sample surveys. Role of NSSorganisation. Simple random sampling
with and without replacement.Stratified sampling and sample
allocations. Cos and Variance functions.Ratio and Regression methods of
estimation. Sampling with probabilityproportional to size. Cluster,
double, multiphase, multistage andsystematic sampling. Interpenetrating
sub-sampling. Non-sampling errors.
Design and Analysis of Experiments
Principlesof design of experiments. Layout and
analysis of completely randomised,randomised block and Latin square
designs. Factorial experiments andconfounding in 2n and 3n experiments.
Split-plot and strip-plotdesigns. Construction and analysis of balanced
and partially balancedincomplete block designs. Analysis of covariance.
Analysis ofnon-orthogonal data. analysis of missing and mixed plot
Componentsof time series. Methods of their
determination-variate differencemethod. Yule-Slutsky effect.
Correlogram. Autoregressive models offirst and second order.
Periodogram analysis. Index numbers of pricesand quantities and their
relative merits. Construction of index numbersof wholesale and consumer
prices. Income distribution-Pareto and Engelcurves. Concentration
Methods of estimating
national income. Inter-sectoral flows. Inter-industry table. Role of
Theoryand analysis of consumer demand-specification
and estimation of demandfunctions. Demand elasticities. Structure and
model. Estimation ofparameters in single equation model-classical least
squares,generalised least-square, heteroscedasticity, serial
correlation,multi-collinearity, errors in variable model. Simultaneous
equationmodels-Identification, rank and other conditions. Indirect
leastsquares and two stage least squares. Short-term economic
Specificationsof a Stochastic Process, Markov
chains, classification of states,limiting probabilities; stationary
distribution; Random walk andGambler's ruin problem. Poisson process,
Birth and death process;applications to Queues-M/M/I and M/M/C models.
linear programming. Simplex procedure. Pirnciple of duality.Transport
and assignment problems. Single and multi-period inventorycontrol
models. ABC analysis. General simulation problems. Replacemnetmodels
for items that fail and or items that deteriorate.
(iii) Demography and Vital
table, its constitution and properties. Makehams and Gompertzcurves.
National life tables. UN model life tables. Abridged lifetables. Stable
and stationary populations. Different birth rates. Totalfertility rate.
Gross and net reproduction rates. Different mortalityrates.
Standardised death rate. Internal and international migration:net
andpostcensal estimates. Projection method including logistic
curvefitting. Decennial population census in India.
(iv) Computer Application and Data
Computersystem concepts: Computer system components
and functions. The CentralProcessing unit, Main memory, Bit, Byte,
Word, Input/Output Devices,Speeds and memory Capacities in computer
of Operating Systems, Types and Functions ofOperating System,
application Software, Software for multi-tasking,multi-programming,
Batch Processign Mode, Time sharing mode, Concept ofSystem Support
Programme, Overview of Existing Software packages onWord Processing and
application Specific Programme: Flow charts, Basics of
Algorithm,Fundamental of design and analysis of Algorithm; Basics of
datastructure, Queue, Stack.
Number System, Number conversions, Binary representation ofintegers,
Binary representation of real numbers, Logical Data elementlike
cjharacter, fields, records, files, Fundamentals of datatransmission
and processing incluidng error contro and error processing.
management:Data Resource management. Data base and file
organisation andprocesing. (a) Direct, (b) Sequantial, (c) Indexed
Sequential file.Concepts of Client Server architecture, Data Base
Administrator. Anoverview of DBMS software.