Sumários

C24 - Continuous time homogeneous Markov Chains

21 Novembro 2022, 17:00 Alexandra Bugalho de Moura

7.1. Introduction: time homogeneous Markov process; Chapman-Kolmogorov equations.
7.2. The transition probability matrix.
7.3. The forward and backward differential equations.


C23 - Discrete Time Markov Chains

18 Novembro 2022, 14:00 Alexandra Bugalho de Moura

6.5. Limit behaviour.
6.6. Applications to no claim discount and bonus-malus systems.


C22 - Discrete time Markov chains

16 Novembro 2022, 09:00 Alexandra Bugalho de Moura

6.4. Classification of states.


C21 - Discrete-time Markov Chains

11 Novembro 2022, 14:00 Alexandra Bugalho de Moura

6.2. Transition probability matrices.
Chapman-Kolmogorov equations.
Applications in Actuarial Science: No claim discount (NCD) model.
6.3. First step analysis.


C21 - General notions of stochastic processes

9 Novembro 2022, 09:00 Alexandra Bugalho de Moura

5. GENERAL NOTIONS OF STOCHASTIC PROCESSES
5.1. Some definitions.
5.2. Specification of a stochastic process.
5.3. Classification of a stochastic process.

6. DISCRETE TIME MARKOV CHAINS
6.1. Definitions.
6.2. Transition probability matrices.