The truncated distribution of the range for a Wiener process: Application to the stock price

Document Type : Research and Reference

Authors

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

Abstract

In this paper, the exact truncated distribution of the stock price (truncated distribution
for the range of a Wiener process) is available among the established results in the field of mathematics (Probability
Distributions). Various statistical properties of the distribution are derived including reliability properties,
moments, stress-strength parameter, order statistics, Bonferroni curve, Lorenz curve and Gini’s index. A
real data set is analyzed to clarify the effectiveness of this distribution.

Keywords