Probability & Random Variables

Course Lectures

• Lecture - 1 Introduction to the Theory of Probability

  Prof. Mrityunjoy Chakraborty

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• Lecture - 2 Axioms of Probability

  Prof. Mrityunjoy Chakraborty

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• Lecture - 3 Axioms of Probability (Contd.)

  Prof. Mrityunjoy Chakraborty

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• Lecture - 4 Introduction to Random Variables

  Prof. Mrityunjoy Chakraborty

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• Lecture - 5 Probability Distributions and Density Functions

  Prof. Mrityunjoy Chakraborty

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• Lecture - 6 Conditional Distribution and Density Functions

  Prof. Mrityunjoy Chakraborty

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• Lecture - 7 Function of a Random Variable

  Prof. Mrityunjoy Chakraborty

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• Lecture - 8 Function of a Random Variable (Contd.)

  Prof. Mrityunjoy Chakraborty

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• Lecture - 9 Mean and Variance of a Random Variable

  Prof. Mrityunjoy Chakraborty

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• Lecture - 10 Moments

  Prof. Mrityunjoy Chakraborty

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• Lecture - 11 Characteristic Function

  Prof. Mrityunjoy Chakraborty

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• Lecture - 12 Two Random Variables

  Prof. Mrityunjoy Chakraborty

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• Lecture - 13 Function of Two Random Variables

  Prof. Mrityunjoy Chakraborty

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• Lecture - 14 Function of Two Random Variables (Contd.)

  Prof. Mrityunjoy Chakraborty

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• Lecture - 15 Correlation Covariance and Related Innver

  Prof. Mrityunjoy Chakraborty

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• Lecture - 16 Vector Space of Random Variables

  Prof. Mrityunjoy Chakraborty

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• Lecture - 17 Joint Moments

  Prof. Mrityunjoy Chakraborty

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• Lecture - 18 Joint Characteristic Functions

  Prof. Mrityunjoy Chakraborty

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• Lecture - 19 Joint Conditional Densities

  Prof. Mrityunjoy Chakraborty

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• Lecture - 20 Joint Conditional Densities (Contd.)

  Prof. Mrityunjoy Chakraborty

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• Lecture - 21 Sequences of Random Variables

  Prof. Mrityunjoy Chakraborty

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• Lecture - 22 Sequences of Random Variables (Contd.)

  Prof. Mrityunjoy Chakraborty

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• Lecture - 23 Correlation Matrices and their Properties

  Prof. Mrityunjoy Chakraborty

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• Lecture - 24 Correlation Matrices and their Properties

  Prof. Mrityunjoy Chakraborty

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• Lecture - 25 Conditional Densities of Random Vectors

  Prof. Mrityunjoy Chakraborty

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• Lecture - 26 Characteristic Functions and Normality

  Prof. Mrityunjoy Chakraborty

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• Lecture - 27 Thebycheff Inquality and Estimation

  Prof. Mrityunjoy Chakraborty

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• Lecture - 28 Central Limit Theorem

  Prof. Mrityunjoy Chakraborty

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• Lecture - 29 Introduction to Stochastic Process

  Prof. Mrityunjoy Chakraborty

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• Lecture - 30 Stationary Processes

  Prof. Mrityunjoy Chakraborty

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• Lecture - 31 Cyclostationary Processes

  Prof. Mrityunjoy Chakraborty

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• Lecture - 32 System with Random Process at Input

  Prof. Mrityunjoy Chakraborty

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• Lecture - 33 Ergodic Processes

  Prof. Mrityunjoy Chakraborty

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• Lecture - 34 Introduction to Spectral Analysis

  Prof. Mrityunjoy Chakraborty

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• Lecture - 35 Spectral Analysis Contd.

  Prof. Mrityunjoy Chakraborty

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• Lecture - 36 Spectrum Estimation - Non Parametric Methods

  Prof. Mrityunjoy Chakraborty

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• Lecture - 37 Spectrum Estimation - Parametric Methods

  Prof. Mrityunjoy Chakraborty

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• Lecture - 38 Autoregressive Modeling and Linear Prediction

  Prof. Mrityunjoy Chakraborty

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• Lecture - 39 Linear Mean Square Estimation - Wiener (FIR)

  Prof. Mrityunjoy Chakraborty

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• Lecture - 40 Adaptive Filtering - LMS Algorithm

  Prof. Mrityunjoy Chakraborty

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