Nneetquant

The memoryless property

EasyProbabilityRandom Variables~2m

Which continuous distribution satisfies P(X>s+t∣X>s)=P(X>t)P(X>s+t \mid X>s) = P(X>t) for all s,t≥0s,t\ge0?

Show hints (2)+
  1. Think about a process with no aging.
  2. It is the continuous analogue of the geometric distribution.

Answer

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Exponential

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Asked at: Jane Street, Optiver

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