Questions tagged [spacings]

Is there a specific formula one can use to compute the differences in order statistics, say $x_i - x_{i-1}$ when the underlying distribution of $x$ is standard normal? Also what is the asymptotic value of this difference?

Let $N>0$ be the number of considered samples. We draw $x_1, \ldots, x_n$ from a uniform distribution over $[0;1]$. We compute $y_1, \ldots, y_{n-1}$ the differences of the sorted $(x_i)_i$. I'd like to compute the expectancy of the max over the…

In order to test the concept, I have created a toy example. I have created training data where each example is a sparse arrays of 0s and 1s. In each array, 1s appear at some regular interval. For example one array might have a 1 at every 90th…