SI & BHS (Statistics) 2024 (Completed)
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UNIT I Descriptive Statistics
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POISSON DISTRIBUTION
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NORMAL DISTRIBUTION
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Mean median mode skewness kutosis
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Correlation ,Rank correlation
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Regression
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UNIFORM DISTRIBUTION
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CORRELATION ,RANK C,M.C,P.C
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Uses, Scope and Limitations of Statistics and Types of data Class
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Tabulation, Diagrammatic and Graphical representations Class
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UNIT VII OPERATIONS RESEARCH
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Basics and Models of OR, Introduction of LPP and Formulation of LPP
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Solving LPP for Graphical Method
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General LPP Degenerate and NonDegenerate BFS
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Simplex Method Introduction
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Simplex Method, Big M Method & Two Phase Method
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Primal Dual Pairs Duality Concepts
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Transportation Problems for NWCR and LCM Methods
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VAM Method and Assignment Problem
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Network Techniques Introdcution and CPM Method
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Network Techniques PERT Methods
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UNIT II Probability Theory
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Probability Theory Introduction Class
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Probability Problems & Solutions
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Probability - Addition Theorem
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Total Probability and Bayes Theorem
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Random Variables Introduction and CDF - Discrete Random Variables
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Continuous Random Varaibles, Mean and Variance
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Bivariate random Variables, Marginal and conditional distributions
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Mathematical Expectation and Conditional Expectation
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Conditional probability Problems
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MGF, Cumulant Generating Functions and Characteristic Function
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Characteristic Functions Properties and Problems
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UNIT III Probability Distributions
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Binomial Distribution
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Poisson and Hypergeometric Distribution
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Uniform and Normal Distribution
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Gamma and Exponential Distributions
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Beta distribution of first and second kind
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Student’s t Distribution and F Distribution
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UNIT IV Estimation Theory
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Estimation Theory - Point Estimation and Characteristics of Good Estimator
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Neyman Fisher Factorization theorem & Cramer–Rao inequality
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Cramer Rao Theorem and MLE
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MLE's and Sufficient Statistics Probels
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Neyman Factorization Theorem & Sufficient Statistics Problems
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Method of Moments Estimation
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Method of Minimum Chi-square, Standard Error and Poiint, Interval Estimation Problems
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Method of Minimum Chi-square, Standard Error and Poiint, Interval Estimation Problems
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UNIT V Tests of Hypotheses
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Testing of Hypothesis - Introduction and Large Sample Problems
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Test procedures for large and small samples, Chi Square Distribution
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Chi Square Distribution - Theory of Attributes
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Student t Distribution
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F Distribution
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Concept Type I and Type II Errors, UMP Neyman person Lemma and Problems for Type I & II Errors
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UNIT VI Sampling Theory and Design of Experiments
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AD UNIT 6 CLASS 1
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AD UNIT 6 CLASS 2
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AD UNIT 6 CLASS 3 - Stratified Random Sampling
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AD UNIT 6 CLASS 4
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AD UNIT 6 CLASS 5
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AD UNIT 6 CLASS 6
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Systematic sampling 1
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Systematic sampling 2
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Systematic sampling 3
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Systematic sampling 4
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UNIT VI -Cluster sampling Class
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UNIT VI - Regression Estimation under Double Sampling Class
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UNIT VI - Ratio Estimation under Double Sampling Class
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UNIT VI Ratio Estimation Class I
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UNIT VI Linear Regression Estimation
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UNIT VI Ratio estimation Class II
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UNIT VI Ratio estimation Class III
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UNIT VI AD Sampling Theory CSO Class Video
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UNIT VI SRS , Stratified random sampling Question Paper Discussion
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Design of Experiments
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UNIT VII Design of Experiment Class 1 Video
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UNIT VII Design of Experiment Class 2 Video
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UNIT VII Design of Experiment Class 3 Video
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UNIT VI SRS , Stratified random sampling Question Paper Discussion
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AD UNIT 7 Latin Square Design 2
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UNIT 7 RBD CLASS 3
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UNIT VII Statistical Quality Control
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UNIT VII Statistical Quality Control Class 1
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UNIT VII Statistical Quality Control Class 2
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UNIT VII Statistical Quality Control Class 3
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UNIT VIII Time Series and Index Numbers
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Introduction and Construction of Index Numbers
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Simple and weighted indexnumbers
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Errors of Index Numbers
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Wholesale Price Index Numbers
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Time series and Components of time series
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Cyclic Variations and Trend
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Method of Least squares
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Measurement of Seasonal Variations
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Ratio to Moving Average Method and Method of Cyclic Variations
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