- [[Probability Distribution]] of distance between events in a [[Poisson Process]] - Maximum [[Shannon Entropy|entropy]] given [[Expectations|mean]] ([[Continuity for Measures|continuous]]) - [[Continuity for Measures|Continuous]] analog to [[Geometric Distribution]] - Special case of [[Gamma Distribution]] | Property | Formula | Additional Information | | ----------------------------------------- | ------------------------ | ----------------------------------------- | | Support | $x \in [0,\infty)$ | | | [[Probability Density Function\|PDF]] | $\lambda e^{-\lambda x}$ | ![[Pasted image 20250619133657.png\|300]] | | [[Cumulative Distribution Function\|CDF]] | | ![[Pasted image 20250619133841.png\|300]] |