Pollard J H, Valkovics E J
Genus. 1992 Jul-Dec;48(3-4):15-28.
"In this paper we study the underlying Gompertz distribution and develop formulae for the moments and other characteristics of this useful but apparently unknown distribution. We find that the skewness and kurtosis of the distribution are fixed constants independent of the two distribution parameters, and this would appear to be the reason for the mixed success writers have experienced fitting the curve to fertility data. We also show the distribution of the minimum of n independent Gompertz variables, all having the same c-parameter, is itself a Gompertz variable with the same c-parameter." (SUMMARY IN FRE AND ITA)
在本文中，我们研究了潜在的冈珀茨分布，并推导了关于这个有用但显然鲜为人知的分布的矩及其他特征的公式。我们发现该分布的偏度和峰度是固定常数，与两个分布参数无关，这似乎就是为何作者们在将该曲线拟合到生育率数据时成效不一的原因。我们还证明，n个独立的冈珀茨变量（均具有相同的c参数）的最小值的分布本身就是一个具有相同c参数的冈珀茨变量。（摘要为法语和意大利语）
