Indian Forest Service Exam, 2009

Indian Forest Service Exam, 2009

Agricultural Engineering Paper II

Indian Forest Service Exam, 2009

Indian Forest Service Exam, 2009

Indian Forest Service Exam, 2009

STATISTICS-IV

1. Stochastic Processes:  Specifications of a Stochastic Process, Markov chains, classification of states, limiting probabilities; stationary distribution; Random walk and Gambler’s ruin problem. Poisson process, Birth and death process; applications to Queues-M/M/I and M/M/C models. Branching Process.

STATISTICS-III

1. Sampling Techniques: Census versus sample survey. Pilot and large scale sample surveys. Role of NSS organisation. Simple random sampling with and without replacement. Stratified sampling and sample allocations. Cos and Variance functions. Ratio and Regression methods of estimation. Sampling with probability proportional to size. Cluster, double, multiphase, multistage and systematic sampling. Interpenetrating sub-sampling. Nonsampling errors.

2. Design and Analysis of Experiments: Principles of design of experiments. Layout and analysis of completely randomised, randomised block and Latin square designs. Factorial experiments and confounding in 2n and 3n experiments. Split-plot and strip-plot designs. Construction and analysis of balanced and partially balanced incomplete block designs. Analysis of covariance. Analysis of non-orthogonal data. analysis of missing and mixed plot data.

STATISTICS-II

1. Linear Models:  Theory of linear estimation. Gauss-Markoff setup. Least square estimators. Use of ginverse. analysis of one-way and two way classified data-fixed, mixed and random effect models. Tests for regression coefficients.

2. Estimation: Characteristics of good estimator. Estimation methods of maximum likelihood, minimum chi-square, moments and least squares. Optimal properties of maximum likelihood estimators. Minimum variance unbiased estimators. Minimum variance 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 Jacknife.

STATISTICS-I

1. Probaility:  Elements of measure theory, Classical definitions and axiomatic approach. Sample space. Class of events and Probability measure. Laws of total and compound probability. Probability of m events out of n. Conditional probability, Bayes’ theorem. Random variables - discrete and continuous. Distribution function. Standard probability distributions - Bernoulli, uniform, binomial, Poisson, geometric, rectangular, exponential, normal, Cauchy, hypergeometric, multinomial, Laplace, negative binomial, beta, gamma, lognormal and compound. Poisson distribution. Joint distributions, conditional distributions, Distributions of functions of random variables. Convergence in distribution, in probability, with probability one and in mean square. Moments and cumulants. Mathematical expectation and conditional expectation. Characteristic function and moment and probability generating functions Inversion uniqueness and continuity theorems. Borel 0-1 law: Kolmogorov’s 0-1 law. Tchebycheff’s and Kolmogorov’s inequalities. Laws of large numbers and central limit theorems for independent variables. Conditional expectation and Martingales.

STANDARD AND SYLLABI:

The standard of papers in General English and General Studies will be such as may be expected of a graduate of an Indian University. The standard of papers in the other subjects will be that of the Master’s degree examination of an Indian University in the relevant disciplines. The candidates will be expected to illustrate theory by facts, and to analyse problems with the help of theory. They will be expected to be particularly conversant with Indian problems in the field of Economic/Statistics.

Indian Forest Service Exam, 2010

Indian Forest Service Exam, 2010

ABOUT EXAM

The Indian Economic Service (IES) was constituted in 1961 with the objective of having an organized Group ‘A’ Service consisting of a specialized cadre of officers, trained in economic analysis, policy formulation and its implementation. The role of the IES can be broadly categorized in terms economic advice, economic administration, implementation of development programmes, besides dealing with other areas such as economic reforms, regulation, price fixation, and monitoring and evaluation. Constitution of the service was essentially to build capacity within the Government for rendering economic advice on issues of development policy and for playing an active role in economic administration. The launching of economic reforms in 1991 and the proliferation of the regulatory role of the government has led to increase in the need for such advice. The IES officers provide requisite inputs in all sectors of economic activity.

(A) Tentative Schedule:

• (i) Notification of Examination : June
• (ii) Conduct of Examination : November

(C) Age - limits:

• 21-30 years on 1st January of the year of Examination
• Certain categories of persons as specified in the notice are eligible for age relaxation.

Indian Forest Service Exam, 2010

Indian Forest Service Exam, 2010