Abstract:

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, BirnbaumSaunders, 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.
