Expected Value of a recursive function











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I want to calculate an expected Value for a given random Variable.
I have



$c_0 = 0,$
$c_{i+1} = max lbrace c_i,r_{i+1} rbrace + d_{i+1},$
where $c_i,r_i,d_i$ are continuous random variables with a given distribution. I have tried an approach using markov chains but unfortunately I am not so familiar with that. Could someone give me a hint/approach or just some book where I could find a solution?










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    up vote
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    down vote

    favorite












    I want to calculate an expected Value for a given random Variable.
    I have



    $c_0 = 0,$
    $c_{i+1} = max lbrace c_i,r_{i+1} rbrace + d_{i+1},$
    where $c_i,r_i,d_i$ are continuous random variables with a given distribution. I have tried an approach using markov chains but unfortunately I am not so familiar with that. Could someone give me a hint/approach or just some book where I could find a solution?










    share|cite|improve this question









    New contributor




    Michael Von Bargen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I want to calculate an expected Value for a given random Variable.
      I have



      $c_0 = 0,$
      $c_{i+1} = max lbrace c_i,r_{i+1} rbrace + d_{i+1},$
      where $c_i,r_i,d_i$ are continuous random variables with a given distribution. I have tried an approach using markov chains but unfortunately I am not so familiar with that. Could someone give me a hint/approach or just some book where I could find a solution?










      share|cite|improve this question









      New contributor




      Michael Von Bargen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      I want to calculate an expected Value for a given random Variable.
      I have



      $c_0 = 0,$
      $c_{i+1} = max lbrace c_i,r_{i+1} rbrace + d_{i+1},$
      where $c_i,r_i,d_i$ are continuous random variables with a given distribution. I have tried an approach using markov chains but unfortunately I am not so familiar with that. Could someone give me a hint/approach or just some book where I could find a solution?







      stochastic-processes markov-chains expected-value






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      Michael Von Bargen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      share|cite|improve this question









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      edited yesterday









      Chinnapparaj R

      4,4101725




      4,4101725






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      asked yesterday









      Michael Von Bargen

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      11




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