# Kolhan University Syllabus

One of the known state universities set up in 2009 grants plethora of UG, PG & research programs. Get detailed Kolhan University Syllabus 2023 PDF Revised for all courses as BA, BSc, B.com, MA & Others & begin studies for semester exams.

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Kolhan University Exam 2023:

 Educational Institute Kolhan University Category Kolhan University Syllabus 2023 Courses BA, BSc, B.com, MA, MSc & Others Exam held in October, November Official Portal www.kolhanuniversity.ac.in

## Kolhan University Syllabus 2023

Kolhan University BSc Syllabus 2023:

Core 1: Basic Statistics and Probability Syllabus:

 UNIT-I Concepts of a statistical population and sample from a population, quantitative and qualitative data, nominal, ordinal and time-series data, discrete and continuous data. Presentation of data by tables and by diagrams, frequency distributions for discrete and continuous data, graphical representation of a frequency distribution by histogram and frequency polygon, cumulative frequency distributions (inclusive and exclusive methods) added in Kolhan University UG Syllabus UNIT-2 Measures of location (or central tendency) and dispersion, moments, measures of skewness and kurtosis, cumulants. Bivariate data: Scatter diagram, principle of least-square and fitting of polynomials and exponential curves. Correlation and regression. Karl Pearson coefficient of correlation, Lines of regression, Spearman’s rank correlation coefficient, multiple and partial correlations (for 3 variates only) added in Kolhan University Syllabus 2023 UNIT-3 Random experiment, sample point and sample space, event, algebra of events, Definition of Probability – classical, relative frequency and axiomatic approaches to probability, merits and demerits of these approaches (only general ideas to be given). Theorem on probability, conditional probability, independent events. Baye’s theorem and its applications

Core 2: Statistical Methodology Topics:

 UNIT-1 Random variables: Discrete and continuous random variables, p.m.f., p.d.f. and c.d.f., illustrations of random variables and its properties, expectation of random variable and its properties. Moments and cumulants, moment generating function, cumulants generating function and characteristic function. Bivariate probability distributions, marginal and conditional distributions; independence of variates (only general idea to be given). Transformation in univariate and bivariate distributions. UNIT 2 Point (or degenerate), Binomial, Poisson, Geometric, Negative Binomial, Hypergeometric, Normal, Uniform, Exponential, Beta and Gamma distributions added in Kolhan University Syllabus 2023 UNIT 3 Markov inequality, Chebychev’s inequality, WLLN and SLLN: Statements and applications, Central limit theorem (CLT) for i.i.d. variates, and its applications added in Kolhan University Syllabus 2023

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Core 3: Theory of Statistical Inference

 Unit-1 Definitions of random sample, parameter and statistic, null and alternative hypotheses, simple and composite hypotheses, level of significance and probabilities of Type I and Type II errors, power of a test and critical region. Sampling distribution of a statistic, sampling distribution of sample mean, standard error of sample mean Unit-2 Large sample tests for single mean, difference of means, standard deviation and difference of standard deviations. Sampling distributions of chi-sq, t and F: definitions, properties and relationships between them. Tests of Significance based on Chi-square (goodness of fit and independence of attributes), t distribution and F- distribution using classical and p-value approach added in Kolhan University Syllabus 2023 Unit-3 Estimation: Parameter space, sample space, point estimation, requirement of a good estimator, consistency, unbiasedness, efficiency, sufficiency, Minimum variance unbiased estimators. Cramer- Rao inequality: statement and application, Methods of estimation: maximum likelihood, least squares and minimum variance, statement of Rao-Blackwell theorem and Lehmann-Scheffe theorem. Properties of maximum likelihood estimators (illustration). Interval Estimation: confidence intervals for the parameters of normal distribution, confidence intervals for difference of mean and for ratio of variances. Neyman-Pearson lemma and MP test: statements and applications.

Core 4: Survey Sampling and Design of Experiments

 UNIT I Sample Surveys: Basic concepts of sample survey: concept of sampling, need for sampling, complete enumeration v/s. sampling, principles of sampling theory, principal steps in a sample surveys, planning and organization of a sample survey, sampling and non-sampling errors.Simple random sampling (srswr and srswor), Stratified random sampling Systematic sampling added in Kolhan University Syllabus 2023 UNIT-2 Analysis of variance: one-way and two-way classified data with one observation per cell only. Design of experiments: Principles of Design of experiments, uniformity trails, completely randomized, Randomized block and Latin square designs. Missing plot technique UNIT-3 Indian Official Statistics: Present Official Statistical System in India relating to census of population, agriculture, industrial production, and prices; methods of collection of official statistics, major publications, their reliability and limitations. Agencies responsible for the data collection- C.S.O., N.S.S.O., Office of Registrar General: historical development, main functions and important publication added in Kolhan University Syllabus 2023

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Kolhan University Syllabus 2023 Revised For UG & PG:

Students will be happy to know Kolhan University Syllabus 2023 is available for all undergraduate, postgraduate and research programs.

Hit on above links & download Kolhan University BSc Syllabus, Kolhan University B.com Syllabus, Kolhan University MA Syllabus or others.

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Are you aware about Kolhan University?

Being set up in 2009, this institute is affiliated to University Grants Commission. Its main motto is to offer quality education to students in terms of theoretical & practical.

Those pursuing any course as BA, BSc, B.com, MSc & others may check out detailed Kolhan University Syllabus 2023 & plan studies accordingly.

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Ending Note:

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