4 Markov Chains

Simulation and Modeling · Unit 4 · 2 hrs

Markov Chains

Exam-focused notes for Markov Chains (Simulation and Modeling, CSC328): what the TU syllabus asks and how it has actually been tested, with 5 solved past questions from this unit.

What this unit covers

  • Features
  • Process Examples
  • Applications

Features

20825 marks

Define Markov Chain. Explain with suitable example. [5]

A Markov Chain is a sequence of random variables X₁, X₂, X₃, ... with the Markov property, namely that, given the present state, the future and past states are independent. Formally, this can be written as: P(Xₙ₊₁ = xₙ₊₁ X₁ = x₁, X₂ = x₂, ..., Xₙ = xₙ) = P(...

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20815 marks

Explain markov chain with suitable example. What are diffrent application areas of markov chain? [5]

Formal Definition: A Markov chain is a sequence of random variables X₁, X₂, X₃, ... with the Markov property, namely that, given the present state, the future and past states are independent. This property can be expressed mathematically as: P(Xₙ₊₁ = xₙ₊₁ X...

Full solved answer →
20805 marks

Explain Markov chain with suitable example. [5]

A Markov chain is a sequence of random variables X₁, X₂, X₃, ... with the Markov property, namely that, given the present state, the future and past states are independent. Mathematically: P(Xₙ₊₁ = xₙ₊₁ X₁ = x₁, X₂ = x₂, ..., Xₙ = xₙ) = P(Xₙ₊₁ = xₙ₊₁ Xₙ = x...

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Process Examples

20795 marks

What is markov chain? Explain with example. [5]

A Markov Chain is a sequence of random variables X₁, X₂, X₃, ... with the Markov property, namely that, given the present state, the future and past states are independent. Mathematically, this property is expressed as: P(Xₙ₊₁ = xₙ₊₁ X₁ = x₁, X₂ = x₂, ..., ...

Full solved answer →
20765 marks

Explain Markov's chain with a suitable example. [5]

A Markov chain is a sequence of random variables X₁, X₂, X₃, ... with the Markov property, namely that, given the present state, the future and past states are independent. Mathematically, this is expressed as: P(Xₙ₊₁ = xₙ₊₁ X₁ = x₁, X₂ = x₂, ..., Xₙ = xₙ) ...

Full solved answer →