This is called the memoryless property of the exponential


Let Y ~Exponential(λ) for some λ >0. Let yh ≥ 0. Prove that. That is, conditional on knowing that Y - h, the random variable Y  h has the same distribution as Y did originally. This is called the memoryless property of the exponential distributions; it says that they immediately "forget" their past behavior

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Basic Statistics: This is called the memoryless property of the exponential
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