Xia, Wanwan Log-concavity of compound Poisson distributions. (English) Zbl 1463.60019 J. Univ. Sci. Technol. China 49, No. 9, 699-703 (2019). Summary: Log-concavity and total positivity of order 2 \((\mathrm{TP}_2)\) properties of two-parameter compound Poisson distributions \(Q(x|\theta, \nu)\) with respect to \(x\), \(\theta\) and \(\nu\) was studied by exploiting the interrelationships between log-concavity, \(\mathrm{TP}_2\) and reproductive property developed by the existing literatures. One application was also presented. MSC: 60E05 Probability distributions: general theory 60E15 Inequalities; stochastic orderings Keywords:reproductive property; total positivity of order 2; reverse rule of order 2; increasing likelihood ratio; increasing failure rate; decreasing reversed hazard rate PDFBibTeX XMLCite \textit{W. Xia}, J. Univ. Sci. Technol. China 49, No. 9, 699--703 (2019; Zbl 1463.60019) Full Text: DOI