Msc statistics entrance syllabus in bhu
Probability
● Conditional Probability
● Unconditional Probability
● Approaches to probability - Classical approach to probability, Relative
frequency approach to probability, Richard Von Mises approach to
probability, Cramer and Kolmogorov’s approach to probability
● Sample Space - Discrete sample space, Continuous sample space
● Event - Operation of Event, Independent Events, Mutually Exclusive
Events
● Random Experiment
● Trial
● Bayes's theorem and its application
● Random Variables
● Moment generating functions
● Probability generating functions
● Chesbyshev’s inequality and its application
Distributions
● Uniform Distribution
● Binomial Distribution
● Poisson distribution
● Geometric Distribution
● Hyper-geometric Distribution
● Continuous univariate distributions
● Normal Distribution
● Exponential Distribution
● Gamma and Beta Distribution
Types of Data
● Qualitative and quantitative Data
● Discrete and Continuous data
● Primary and Secondary data
● Presentation of Data
● Construction
● Diagrammatic
● Graphical representation
● Bar diagram
● Ogive diagram
● Histogram
● Frequency Polygon
● Measures of central tendency
● Dispersion
● Relative Dispersion
● Absolute Dispersion
● Bivariate Data
● Scatter diagram
● Correlation coefficient
● Rank correlation
● Spearman’s and Kendall’s measures
● Multivariate Data
● Multiple correlations in three variables
● Partial correlation in three variables
● Regression lines
● Regression coefficient
● Principal of least squares
● Analysis of Categorical Data
Sampling
● Random sample
● Point estimate of a parameter
● Concept of bias and standard error of an estimate
● Tests of significance based on Chi- square
● Testing for the mean and variance of Univarite
● Sample tests
● Use of central limit theorem for testing and interval estimation
● Fisher’s Z transformation
● Non- Parametric tests
● Wilcoxon- Mann- Whitney test
● Run- test
● Median- test
Sample Surveys
● Concept of population and sampling
● Census and sample survey
● Sample selection
● Sample size
● Non-Sampling error
● Simple random sampling
● Stratified random sampling
● Systematic sampling
Linear programming
● Elementary theory of convex sets
● General linear programming problems (LPP)
● Graphical and simplex method of solving LPP
● Transportation Problems
● Assignment problems
Introduction to computers
● Basic set of an electronic computer
● CPU
● Input devices
● Output devices
● Need of computers in statistics
● Binary number system
● Machine
● Language
● Basic commands to operate a computer
● Ms- Office Tools
Demographic Methods
● Sources of demographic data
● Measurement of mortality
● Measurement of fertility
● Economic statistics
● Index number
● Simple aggregative methods
● Weighted average methods
● Lasperey’s, Passche’s and Fisher’s index numbers
Time series Analysis
● Economic time series
● General theory of control charts
● Process control chars for variables (X, R and S Charts)
● Control chart for attributes (np, p and c charts)
● Hypothesis
● Statistical hypothesis
● Simple and composite hypothesis
● Statistical hypothesis
● Null and alternative hypothesis
● Parameter models
● Parameter space
● Point Estimation
● Interval estimation
● Concepts of confidence interval and confidence coefficient.
