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Index
Probability
Statistical Inference
Linear Inference and Multivariate Analysis
Sampling Theory and Design of Experiments
Industrial Statistics
Optimization Techniques
Quantitative Economics and Official Statistics
Demography and Psychometry

All videos of Statistics Optional Videos & Past Year Papers for UPSC for UPSC CSE Exam

Probability

Sample Space & Events

05:43 min

Overview Of Random Variable & Probability Distribution

08:00 min

Random Variable, Probability Mass Function, Distribution Function

18:38 min

Random Variable, Probability Density Function, Cumulative Distribution Function

21:22 min

Joint Probability Distribution , Joint PMF, Marginal PMF, Bivariate RV

20:45 min

Joint Probability Distribution , Joint PMF, Marginal PMF, Statistical Independence

16:15 min

Mathematical Expectation, Variance Of Continuous & Discrete Random Variable

12:48 min

Skewness & Kurtosis, Moments, Leptokurtic, Mesokurtic and Platykurtic

17:37 min

Skewness & Kurtosis, Moments, Leptokurtic, Mesokurtic and Platykurtic Examples

19:32 min

Marginal & Conditional Distributions

12:24 min

Independence of Random Variables

05:08 min

Mathematical Expectation, Variance Of Continuous & Discrete Random Variable

12:48 min

Conditional Expectation

04:31 min

Convergence in Probability

05:08 min

Convergence of a Sequence of Random Variable in Distribution

08:28 min

Chebyshev’s Inequality

05:57 min

Khintchine’s weak law of Large Numbers

07:31 min

Strong Law of Large Numbers

24:52 min

Kolmogoroffs Theorems

11:27 min

Probability Generating Function

20:02 min

Moment Generating Function

25:45 min

Characteristic Function

18:59 min

Inversion Theorem

08:41 min

Lindenberg & Levy forms of Central Limit Theorem

15:43 min

Standard Discrete & Continuous Probability Distributions

43:06 min

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Statistical Inference

Unbiasedness & Consistency

16:03 min

Statistical Inference: Completeness

12:40 min

Ancillary Statistic

06:18 min

Factorization Theorem

33:31 min

Exponential Family of Distribution & its Properties

09:18 min

Uniformly Minimum Variance Unbiased (UMVU) Estimation

16:40 min

Rao Blackwell Theorem

07:38 min

Lehmann-Scheffe Theorem

07:01 min

Cramer-Rao Inequality & Its Proof

08:36 min

Estimation by methods of moments

22:21 min

Methods of Maximum Likelihood & its Properties

08:45 min

Least Squares Method

15:05 min

Chi-Square Test

05:23 min

Asymptotic Efficiency

14:25 min

Prior & Posterior Distributions

11:51 min

Loss function, Risk function, & Bayes Estimator

14:15 min

Randomised Tests

08:57 min

MP tests & Neyman-Pearson lemma

26:54 min

UMP Tests

37:01 min

Monotone Likelihood Ratio: Similar & Unbiased Tests

33:51 min

Likelihood Ratio Test & Its Asymptotic Distribution

07:04 min

Confidence Intervals & its Relation with Tests

29:02 min

Kolmogorov’s Test for Goodness of Fit & its Consistency

25:44 min

Sign Test & its optimality

26:04 min

Wilcoxon Signedranks Test & its consistency

18:13 min

Kolmogorov-Smirnov Two Sample Test

13:45 min

Run Test

25:46 min

Wilcoxon-MannWhitney test

14:26 min

Median Test

24:20 min

Wald’s SPRT & Its properties

09:39 min

Bernoulli Distributions

09:18 min

Binomial Distributions

11:32 min

Wald’s Fundamental Identity

19:14 min

Sampling Theory and Design of Experiments

Distinctive Features of Finite Population Sampling

31:40 min

Probability Sampling Design

09:49 min

Simple Random Sampling with & without replacement

07:01 min

Stratified Random Sampling

10:48 min

Systematic Sampling & its Efficacy

06:08 min

Cluster Sampling

10:55 min

Two Stage Sampling

16:26 min

Ratio & Regression Methods of Estimation

49:10 min

Two-phase Sampling

13:28 min

Horvitz Thompson Estimators

05:54 min

The Hansen-Hurwitz Estimators

09:45 min

Statistical Errors: Sampling and Non-Sampling Error

09:50 min

Fixed effects model vs Random effects model

05:09 min

CRD, RBD, LSD & their Analyses

08:19 min

Incomplete Block Designs

15:46 min

BIBD

15:46 min

Blocking & Confounding System for Two Level Factorial

11:25 min

Duncan’s Multiple Range Test

03:59 min

Optimization Techniques

Models in Operations Research

12:36 min

Formulation of Linear Programming (LP) problem

15:34 min

Simple LP model & its Graphical Solution

17:19 min

The Simplex Procedure

26:31 min

The Two-phase Simplex Method

30:20 min

The M-technique with Artificial Variables

31:50 min

The Duality Theory of LP & its Economic Interpretation

30:25 min

Sensitivity Analysis in Linear Programming

09:22 min

Introduction to North West Corner Method; Transportation problem & LPP

29:47 min

Rectangular Game with Simplex method of LPP

25:58 min

Game Theory: Two-person Zero Sum Games

15:37 min

Replacement Problem: Replacement Situation & Individual Replacement

10:21 min

Inventory management and analytical structure of inventory problems

32:34 min

Deterministic Model vs Stochastic Model

01:52 min

Discrete Time- Markov Chains

29:40 min

Transition Probability Matrix

29:30 min

Classisification of States & Markov Chains

25:01 min

Continuous-time Markov chains

42:26 min

Concept of Poisson process

28:12 min

Elements of Queuing Theory

17:59 min

M/MI

16:33 min

M/G/1 queues

38:01 min

Quantitative Economics and Official Statistics

Components of Time Series

11:41 min

Box-Jenkins Method

17:59 min

Tests for Stationary Series

08:16 min

ARIMA models in Time Series

10:17 min

Index Numbers: Meaning, Types & Uses

09:07 min

Introduction to Time reversal test; Factor reversal test; Circular test

37:22 min

Laspeyre’s, Paasche’s & Fisher’s ideal index numbers

06:18 min

Chain Base Index Numbers

05:17 min

Index of Industrial Production

27:03 min

Consumer Price Index

40:47 min

Agricultural Production Index

02:18 min

Wholesale Price Index

14:16 min

Limitations of Index Numbers

09:24 min

General Linear Model

43:43 min

Ordinary Least Square Method

02:10 min

Generalized Least Squares Method of Estimation

13:13 min

Problem of Multi-collinearity

10:46 min

Consequences & Solutions of Multi-collinearity

06:58 min

Autocorrelation & its Consequences

13:40 min

Heteroscedasticity of Disturbances & its Testing

15:37 min

Simultaneous Equation Models: Concept

20:49 min

Identification Problem: Simultaneous Equation Models

12:13 min

Rules for Identification: Order & Rank Conditions

12:27 min

Two Stage Least Squares Method

05:04 min

Present Official Statistical System in India

19:32 min

Official Statistics: Theory & Methods

05:43 min

Demography and Psychometry

Data Sources for Demographic Studies & Agencies involved

08:14 min

Vital Statistics

05:45 min

Vital Statistics - Demography - Part 2 - CDR Solved Example - Statistics

04:30 min

Vital Statistics - Demography - Part 3 - CDR Solved Example - Statistics

05:46 min

Vital Statistics - Demography - Part 4 - Age Specific Death Rate - Statistics

04:47 min

Vital Statistics - Demography - Part 5 - Standardized Death Rate - Statistics

05:28 min

Vital Statistics - Demography - Part 6 - STDR Example - Statistics

06:41 min

Vital Statistics - Demography - Part 7 - Life Table - Mortality Table - Statistics

11:07 min

Vital Statistics - Demography - Part 8 - Life Table Solved Example - Statistics

06:25 min

Vital Statistics - Demography - Part 9 - Life Table Solved Example - Statistics

04:46 min

Vital Statistics - Demography - Part 10 - Life Table Solved Example - Statistics

04:02 min

Vital Statistics -Demography- Part 12-Infant Mortality Rate and Neonatal Mortality Rate - Statistics

05:44 min

Logistic Curve Method: Numerical

03:49 min

Estimating Population Parameters

17:51 min

Estimation of Population Parameters Using Moments

42:30 min

Normalization vs Standardization

08:00 min

Standard Scores: Z-scores & T-scores

18:51 min

Intelligence quotient and its measurement and uses

05:27 min

Validity vs Reliability

03:53 min

Methods to test Reliabilty

04:17 min

Factor Analysis [PSY]

31:46 min

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Video lectures for Statistics Optional Videos & Past Year Papers for UPSC 2024 is part of UPSC CSE exam preparation. The videos have been prepared according to the UPSC CSE exam syllabus. The Video lectures, notes, tests & MCQs are made for UPSC CSE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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