In this work, we propose two information generating functions: general weighted information and relative information generating functions, and study their properties. The effects under monotone transformations of the proposed generating functions are explored. Bounds are obtained. Further, these information generating functions are studied for escort, generalized escort and mixture distributions. The residual versions of the newly proposed generating functions are considered and several properties are proposed.

翻译：本文提出了两类信息生成函数：一般加权信息生成函数与相对信息生成函数，并研究了其性质。探讨了所提生成函数在单调变换下的效应，获得了相应的界。进一步，针对伴生分布、广义伴生分布及混合分布研究了这些信息生成函数。考虑了新提出生成函数的残差形式，并提出了若干性质。