Abstract In this work, we consider the information generating function measure and develop some new results associated with it. We specifically propose two new divergence measures and show that some of the well-known information divergences such as Jensen–Shannon, Jensen-extropy and Jensen-Taneja divergence measures are all special cases of it. Finally, we also discuss the information generating function for residual lifetime variables.

中文翻译：

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Jensen-信息生成函数及其与一些著名信息度量的联系

摘要 在这项工作中，我们考虑了信息生成函数的度量并开发了一些与之相关的新结果。我们特别提出了两个新的散度测度，并表明一些著名的信息散度，如 Jensen-Shannon、Jensen-extropy 和 Jensen-Taneja 散度测度都是它的特例。最后，我们还讨论了剩余生命周期变量的信息生成函数。