Memorylessness of the exponential distribution

If

T \sim Exp (μ)

, then

P (T > s + t ∣ T > s) = P (T > t) = e^{- μ t} .

Thus an exponential remaining lifetime has the same law regardless of the elapsed lifetime.

 Ancestors (8)

 Incoming links (11)

Exponential mean imputation under independent censoring
Independent minimum and gap of two exponential variables
Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 37 / 1 / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 37 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 29 / 6 / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 35 / 4 / b / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 35 / 4 / b / i / Solution
Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 39 / 5 / Solution
Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 207 / 5 / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 207 / 6 / v / Solution
Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 3 / 27J / b / Solution

 Synonyms (1)

codex/memoryless-property

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version