The sum of n independent exponential variables of rate r has the Erlang distribution with densityConvolving with one more exponential proves the formula inductively.
fn(x)=(n−1)!rnxn−1e−rx,x>0.
Ancestors (8)
- Gamma distribution
- Continuous probability distribution
- Probability distribution
- Probability theory
- Probability and statistics
- Area of mathematics
- Mathematics
- Home
Incoming links (31)
- Adjustment coefficient for shape-two Erlang claims
- ATPase dwell-time inference from concentration dependence
- Dependence in Poisson thinning
- Equilibrium delay of an Erlang renewal process
- Erlang claim-size differential equation for survival probability
- Erlang shape-two ruin prefactor
- Finite Erlang-mixture tail for a negative-binomial exponential aggregate
- New better than used in expectation
- Past exam of the biological physics course of the University of Oxford / 2015 / 5 / d / Solution
- Past exam of the biological physics course of the University of Oxford / 2016 / 2 / b / Solution
- Past exam of the biological physics course of the University of Oxford / 2019 / 4 / d / Solution
- Past exam of the biological physics course of the University of Oxford / 2021 / 5 / c / Solution
- Past exam of the mathematical and Computational Biology course of the University of Cambridge / 2025 / Paper 1 / 2 / a / Solution
- Past exam of the mathematical and Computational Biology course of the University of Cambridge / 2025 / Paper 1 / 2 / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 35 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 41 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 43 / 1 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 45 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 1 / 26J / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 1 / 26J / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 1 / 26J / d / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 37 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / ii / Paper 3 / 26J / b / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / ii / Paper 3 / 26J / c / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 38 / 1 / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2010 / ii / Paper 3 / 26I / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2023 / ia / Paper 2 / 10F / a / Solution
- Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 2 / 9F / iii / Solution
- Past exam of the probability course of the University of Oxford / 2014 / 2 / c / Solution
- Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2012 / S12 / 2 / 2 / Solution
- Serial reaction dwell-time density
Discussion (0) New discussion
There are no discussions about this article yet.
Articles by others on the same topic (0)
There are currently no matching articles.