On characterizations of some bivariate continuous distributions by properties of higher-degree bivariate stop-loss transforms

Abstract

In this paper we study some characteristic properties of higher-degree bivariate stop-loss transforms (partial moments). A new bivariate distribution is proposed by extending the characterizing identity of univariate partial moments due to Lin (2003) to the bivariate case. A real-data analysis is also carried out to illustrate the theoretical results.

Keywords:

• Bivariate partial moments
• Characterizations
• Bivariate stop-loss transforms
• Bivariate Gumbel’s exponential

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 62N05
• 91B30