NOC:Probability and Statistics


Lecture 1 - Sets, Classes, Collection


Lecture 2 - Sequence of Sets


Lecture 3 - Ring, Field (Algebra)


Lecture 4 - Sigma-Ring, Sigma-Field, Monotone Class


Lecture 5 - Random Experiment, Events


Lecture 6 - Definitions of Probability


Lecture 7 - Properties of Probability Function - I


Lecture 8 - Properties of Probability Function - II


Lecture 9 - Conditional Probability


Lecture 10 - Independence of Events


Lecture 11 - Problems in Probability - I


Lecture 12 - Problems in Probability - II


Lecture 13 - Random Variables


Lecture 14 - Probability Distribution of a Random Variable - I


Lecture 15 - Probability Distribution of a Random Variable - II


Lecture 16 - Moments


Lecture 17 - Characteristics of Distributions - I


Lecture 18 - Characteristics of Distributions - II


Lecture 19 - Special Discrete Distributions - I


Lecture 20 - Special Discrete Distributions - II


Lecture 21 - Special Discrete Distributions - III


Lecture 22 - Poisson Process - I


Lecture 23 - Poisson Process - II


Lecture 24 - Special Continuous Distributions - I


Lecture 25 - Special Continuous Distributions - II


Lecture 26 - Special Continuous Distributions - III


Lecture 27 - Special Continuous Distributions - IV


Lecture 28 - Special Continuous Distributions - V


Lecture 29 - Normal Distribution


Lecture 30 - Problems on Normal Distribution


Lecture 31 - Problems on Special Distributions - I


Lecture 32 - Problems on Special Distributions - II


Lecture 33 - Function of a random variable - I


Lecture 34 - Function of a random variable - II


Lecture 35 - Joint Distributions - I


Lecture 36 - Joint Distributions - II


Lecture 37 - Independence, Product Moments


Lecture 38 - Linearity Property of Correlation and Examples


Lecture 39 - Bivariate Normal Distribution - I


Lecture 40 - Bivariate Normal Distribution - II


Lecture 41 - Additive Properties of Distributions - I


Lecture 42 - Additive Properties of Distributions - II


Lecture 43 - Transformation of Random Variables


Lecture 44 - Distribution of Order Statistics


Lecture 45 - Basic Concepts


Lecture 46 - Chi-Square Distribution


Lecture 47 - Chi-Square Distribution (Continued...), t-Distribution


Lecture 48 - F-Distribution


Lecture 49 - Descriptive Statistics - I


Lecture 50 - Descriptive Statistics - II


Lecture 51 - Descriptive Statistics - III


Lecture 52 - Descriptive Statistics - IV


Lecture 53 - Introduction to Estimation


Lecture 54 - Unbiased and Consistent Estimators


Lecture 55 - LSE, MME


Lecture 56 - Examples on MME, MLE


Lecture 57 - Examples on MLE - I


Lecture 58 - Examples on MLE - II, MSE


Lecture 59 - UMVUE, Sufficiency, Completeness


Lecture 60 - Rao - Blackwell Theorem and Its Applications


Lecture 61 - Confidence Intervals - I


Lecture 62 - Confidence Intervals - II


Lecture 63 - Confidence Intervals - III


Lecture 64 - Confidence Intervals - IV


Lecture 65 - Basic Definitions


Lecture 66 - Two Types of Errors


Lecture 67 - Neyman-Pearson Fundamental Lemma


Lecture 68 - Applications of N-P Lemma - I


Lecture 69 - Applications of N-P Lemma - II


Lecture 70 - Testing for Normal Mean


Lecture 71 - Testing for Normal Variance


Lecture 72 - Large Sample Test for Variance and Two Sample Problem


Lecture 73 - Paired t-Test


Lecture 74 - Examples


Lecture 75 - Testing Equality of Proportions


Lecture 76 - Chi-Square Test for Goodness Fit - I


Lecture 77 - Chi-Square Test for Goodness Fit - II


Lecture 78 - Testing for Independence in rxc Contingency Table - I


Lecture 79 - Testing for Independence in rxc Contingency Table - II