A key goal of the discussion is to show a relatively simple way to derive the cumulant formulas in Appendix B of the paper “The Log-Gamma Distribution and Non-Normal Error.” It also suggests alternative derivation for various results in the paper. The concept of cumulants was introduced by T. N. Thiele. The discussion also points out some important actuarial roles played by Mr. Thiele. Address for Correspondence: elias-shiu@uiowa.edu
Elias S. W. Shiu (Mon,) studied this question.