Abstract:
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Some properties of inverse Gaussian distribution
For positive random variables, the population geometric mean van be defined by the means of a simple formula. 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.
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