View source for Stochastic point process with limited memory

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A [[Stochastic point process|stochastic point process]] defined by a sequence of random variables  $  \{ t _ {i} \} $,

$$ 
{} \dots <  t _ {-} 1  <  t _ {0}  \leq   0  <  t _ {1}  <  t _ {2}  < \dots ,
$$

in which the intervals  $  s _ {i} = t _ {i+} 1 - t _ {i} $
are mutually-independent random variables. Such processes are closely related to renewal processes (see [[Renewal theory|Renewal theory]]), in which the  $  s _ {i} $(
$  i \neq 0 $) 
are independent identically-distributed random variables.