Nature

Function Spaces and Asymptotic Analysis

Function spaces and asymptotic analysis are essential areas of mathematical research that explore the properties and behaviors of functions under various conditions. Function spaces, such as Besov and ...
JSTOR Daily

Asymptotic Analysis of Tail Probabilities Based on the Computation of Moments

Choudhury and Lucantoni recently developed an algorithm for calculating moments of a probability distribution by numerically inverting its moment generating function. They also showed that high-order ...
JSTOR Daily

Asymptotic Behaviour of the Sample Autocovariance and Autocorrelation Function of the AR(1) Process with ARCH(1) Errors

We consider a stationary AR(1) process with ARCH(1) errors given by the stochastic difference equation $X_{t}=\alpha X_{t-1}+\sqrt{\beta +\lambda X_{t-1}^{2 ...
Nature

Function Spaces and Asymptotic Analysis

Function spaces form a fundamental framework in modern mathematical analysis, allowing researchers to systematically study functions through norms, metrics and topological properties. Asymptotic ...