Some general results concerning the asymptotic behavior of the value of the empirical distribution function at a random point (e.g. the sample mean) are given. These results are then used to obtain: ...

Clay Halton was a Business Editor at Investopedia and has been working in the finance publishing field for more than five years. He also writes and edits personal finance content, with a focus on ...

The empirical distribution function of a sample, F n (y), is the proportion of observations less than or equal to y. where n is the number of observations, and is an indicator function with value 1 if ...

We consider the problem of stationary distribution function estimation at a given point by the observations of an ergodic diffusion process on the interval [0, T] as T → ∞. First we introduce a lower ...

Understanding the mechanisms responsible for stability and persistence of ecosystems is one of the greatest challenges in ecology. Robert May showed that, contrary to intuition, complex randomly built ...