Week 3

Question 1

When is a Markov-chain homogeneous?

Answer 1

If Pn is independent of n

Question 2

When is a Markov chain irreducible, aperiodic and positive recurrent?

Answer 2

Question 3

What is a generator matrix?

Answer 3

The Markov-chain which generates a an exponential distribution

Question 4

How can the stationary distribution be found?

Answer 4

π=πP (discrete time)

πQ=0 (continuous time)

Do not forget to set sum π = 1

Question 5

When is Q conservative?

Answer 5

Question 6

How can we estimate Q from data?

Answer 6

Question 7

What is a property of the exponential distribution?

Answer 7

Question 8

What are alternative ways of modelling DES?

Answer 8

Question 9

When using Network Formation Modelling, how do we model a network of agents?

Answer 9

Question 10

How to agents interact in a model?

Answer 10

Question 11

How are agent changes modeled?

Answer 11

Question 12

How are network changes calculated, when using the memoryless property?

Answer 12

Question 13

How are opinion dynamics modeled?

Answer 13

Question 14

What is a pure jump chain?

Answer 14