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Activity Number: 79 - Contributed Poster Presentations: Lifetime Data Science Section
Type: Contributed
Date/Time: Monday, August 3, 2020 : 10:00 AM to 2:00 PM
Sponsor: Lifetime Data Science Section
Abstract #313163
Title: On the Lower Limit of the Population Median for the Inverse Gaussian Distribution
Author(s): Koji Kanefuji* and Kosei Iwase
Companies: Institute of Statistical Mathematics and Hiroshima University
Keywords: Arithmetic Mean; Geometric Mean; Harmonic Mean

For positive random variables, the population geometric mean van be defined by the means of a simple formula. Iwase and Kanefuji(2013) show the definition of population geometric mean of positive variables. In this paper, the definition of population geometric mean is introduced. Based on this definition, the population geometric means for inverse Gaussian, lognormal, Birnbaum-Saunders, and K distributions are described. Some of these distributions have population median. But the median of the inverse Gaussian cannot be expressed by explicitly. We evaluate it by upper and lower limits.

Authors who are presenting talks have a * after their name.

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