CT4 April 13' Q11ii

Discussion in 'CS2' started by Edward Smith, Aug 16, 2021.

  1. Edward Smith

    Edward Smith Active Member

    What does the questions mean by the nature of the boundaries? The answer suggests a 'mixed type', which implies the process operates in continuous time, which doesn't seem to make sense given that changes in level can only happen at the end of each year?
     
  2. Dave Johnson

    Dave Johnson ActEd Tutor Staff Member

    Hi

    The types of boundaries first come up in section 5.4 of chapter 2. The options are
    • absorbing boundary - where the probability of leaving the state at the next step is 0
    • reflecting boundary - where the probability of leaving the state at the next step is 1
    • mixed boundary - anything in between
    In this case we have mixed boundaries, since there is a non-zero probability of remaining in the boundary state and a non-zero probability of leaving the boundary state in the next step.

    Hope that helps

    DAve
     
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