An asymptotic expression is given for the probability integral of range for samples from a symmetrical unimodal population. Its accuracy is investigated for the case of a normal parent population and ...

In this article, we derive a series expansion of the multivariate normal probability integrals based on Fourier series. The basic idea is to transform the limits of each integral from hi to ∞ to be ...

REFERRING to Prof. H. C. Plummer's letter on “An Approximation to the Probability Integral,” published in NATURE of October 25, the following alternative way of ...

Non-additive measure theory extends the traditional framework of measure and integration by allowing for measures that do not necessarily satisfy the additivity property. This broader perspective has ...