General weighted information and relative information generating functions with properties

05/30/2023

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by   Shital Saha, et al.

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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.