SI & BHS (Statistics) 2024
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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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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 DistributionNew
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UNIT IV Estimation Theory
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Estimation Theory - Point Estimation and Characteristics of Good EstimatorNew
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Neyman Fisher Factorization theorem & Cramer–Rao inequalityNew
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Cramer Rao Theorem and MLENew
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MLE's and Sufficient Statistics ProbelsNew
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Neyman Factorization Theorem & Sufficient Statistics ProblemsNew
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Method of Moments EstimationNew
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Method of Minimum Chi-square, Standard Error and Poiint, Interval Estimation ProblemsNew
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Method of Minimum Chi-square, Standard Error and Poiint, Interval Estimation ProblemsNew
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