Min And Max Exponential Extreme Interval Values And Statistics

Abstract

The extreme interval values and statistics (expected value, median, mode, standard deviation, and coefficient of variation) for the smallest (min) and largest (max) values of exponentially distributed variables with parameter ? = 1 are examined for different observation (sample) sizes. An extreme interval value is defined as a numerical bound where a specified percentage ? of the data is less than . A procedure for finding the extreme interval values when ? > 0, an analysis of the extreme interval values and statistics, and an application of this research are provided.