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Let x 1 , x 2 , dots be independent random variables such that P { x 1 = j } = 1 , j
Let dots be independent random variables such that
Say that a record occurs at time if maxdots,
where and if a record does occur at time call the record
value. Let denote the th record value.
a Argue that is a Markov chain and compute its transi
tion probabilities.
b Let denote the time between the th and st record. Is
a Markov chain? What about Compute
transition probabilities where appropriate.
c Let Argue that is a Markov chain
and find its transition probabilities.
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