Given Wikipedia's standards I am a little surprised that the article is light on the math. One tool to measure this with is the hazard rate.
Say at age x my probability density of dying at that instant is f(x). Now we condition on the obvious fact that I would lived at least x before I die (counting from 0). The distribution function F(x) is the probability that I die before x. So that gives a conditional probability density of dying in this instant is
h(x) = f(x) / (1- F(x))
If this quantity is constant (in other words independent of x) then I am Peter Pan. I don't age. I will die by some random accident that has no preference over time.
If h(x) is an increasing function of x then I am more human, I age. I age.
If its a decreasing function of x I am probably the Joker, "... makes me stronger". Whenever h(x) is a decreasing function of x one encounters Lindy effect.
Pareto distribution has been called out in the article but anything that has a fatter tail than the exponential distribution will suffice. The life of a database query, search engine request, etc., etc., likely all fall under this category. In such cases it is on us engineers to try to make those latencies have an increasing hazard function.
Say at age x my probability density of dying at that instant is f(x). Now we condition on the obvious fact that I would lived at least x before I die (counting from 0). The distribution function F(x) is the probability that I die before x. So that gives a conditional probability density of dying in this instant is
If this quantity is constant (in other words independent of x) then I am Peter Pan. I don't age. I will die by some random accident that has no preference over time.If h(x) is an increasing function of x then I am more human, I age. I age.
If its a decreasing function of x I am probably the Joker, "... makes me stronger". Whenever h(x) is a decreasing function of x one encounters Lindy effect.
Pareto distribution has been called out in the article but anything that has a fatter tail than the exponential distribution will suffice. The life of a database query, search engine request, etc., etc., likely all fall under this category. In such cases it is on us engineers to try to make those latencies have an increasing hazard function.