Sumários

Lecture 31

6 Dezembro 2023, 10:30 José Pedro Gaivão

Introduction to inhomogeneous continuous time Markov Chains.

Chapman-Kolmogorov equations. Kolmogorov’s forward differential equations. Probabilities of remaining in states for given time periods. Kolmogorov’s backward differential equations. Applications in insurance.


Lecture 30

4 Dezembro 2023, 11:00 José Pedro Gaivão

The embedded Markov chain. 

Stationary and limiting distributions.
Examples.


Lecture 29

29 Novembro 2023, 10:30 José Pedro Gaivão

 The forward and backward differential equations. Probabilities of remaining in states for given time periods. The embedded Markov chain. 


Lecture 28

27 Novembro 2023, 11:00 José Pedro Gaivão

Tutorial 1


Lecture 27

24 Novembro 2023, 13:30 José Pedro Gaivão

Continuous time homogeneous Markov Chains