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Probability & Random Variables NPTEL

Online Free Online Course by  World Mentoring Academy
Online / Free Online Course

Details

Language: English
Units: 41
Lesson content
  • Fun Science: Randomness  
  • Lec 1 Introduction  
  • Lec 2 Axioms of Probability  
  • Lec 3 Axioms of Probability (Contd.)  
  • Lec 4 Introduction to Random Variables  
  • Lec 5 Probability Distributions and Density Functions  
  • Lec 6 Conditional Distribution and Density Functions  
  • Lec 7 Function of a Random Variable  
  • Lec 8 Function of a Random Variable (Contd.)  
  • Lec 9 Mean and Variance of a Random Variable  
  • Lec 10 Moments  
  • Lec 11 Characteristic Function  
  • Lec 12 Two Random Variables  
  • Lec 13 Function of Two Random Variables  
  • Lec 14 Function of Two Random Variables (Contd.)  
  • Lec 15 Correlation Covariance and Related Innver  
  • Lec 16 Vector Space of Random Variables  
  • Lec 17 Joint Moments  
  • Lec 18 Joint Characteristic Functions  
  • Lec 19 Joint Conditional Densities  
  • Lec 20 Joint Conditional Densities (Contd.)  
  • Lec 21 Sequences of Random Variables  
  • Lec 22 Sequences of Random Variables (Contd.)  
  • Lec 23 Correlation Matrices and their Properties  
  • Lec 24 Correlation Matrices and their Properties  
  • Lec 25 Conditional Densities of Random Vectors  
  • Lec 26 Characteristic Functions and Normality  
  • Lec 27 Thebycheff Inquality and Estimation  
  • Lec 28 Central Limit Theorem  
  • Lec 29 Introduction to Stochastic Process  
  • Lec 30 Stationary Processes  
  • Lec 31 Cyclostationary Processes  
  • Lec 32 System with Random Process at Input  
  • Lec 33 Ergodic Processes  
  • Lec 34 Introduction to Spectral Analysis  
  • Lec 35 Spectral Analysis Contd.  
  • Lec 36 Spectrum Estimation - Non Parametric Methods  
  • Lec 37 Spectrum Estimation - Parametric Methods  
  • Lec 38 Autoregressive Modeling and Linear Prediction  
  • Lec 39 Linear Mean Square Estimation - Wiener (FIR)  
  • Lec 40 Adaptive Filtering - LMS Algorithm
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