Internal truncated distributions: applications to Wiener process range distribution when deleting a minimum stochastic volatility interval from its domain

Abstract

In this paper, we apply a new definition of truncated distribution “Internal Truncated Distribution” on the Wiener process range distribution to delete a few stochastic volatility intervals from its domain. A comprehensive treatment of the statistical properties of this distribution is presented. The usefulness of the proposed distribution is illustrated with the help of a real data set.

Keywords

• internal truncated distribution
• wiener process range distribution
• stochastic volatility
• reliability properties