Inaccuracy measure is an important measure in information theory, which have been considered recently by many researchers, so that various generalizations have been introduced for this measure. In this paper, two new inaccuracy measures using co-copula and dual of a copula in copula theory are introduced and their properties under specific conditions are investigated. Including, under the establishment of proportional reversed hazard rate model and proportional hazard rate model, we obtain bounds and inequalities for these two inaccuracy measures, and we show that the triangle inequality can also exist for both of these measures. Also, under the assumption of radial symmetry, we prove the equality of these two new inaccuracies. In addition, we obtain a characterization property using the equality of these two inaccuracy measures for radially symmetric distributions. We provide examples to evaluate the results. Finally, in supplementary material section, by introducing estimators for the introduced inaccuracy measures, we examine some of the results using simulation methods and provide an example with real data.

误差度量是信息理论中的重要度量，许多研究者最近都在考虑它，因此对该度量引入了各种概括。在本文中，介绍了两种新的不精确测度，即在copula理论中使用co-copula和copula对偶的方法，并研究了它们在特定条件下的性能。包括，在建立比例逆向风险率模型和比例风险率模型的情况下，我们获得了这两种不准确度度量的界限和不等式，并且表明这两种措施也都存在三角形不等式。同样，在径向对称的假设下，我们证明了这两个新的不准确性。此外，我们使用这两个不对称度量的相等性来获得径向对称分布的特征属性。我们提供示例来评​​估结果。最后，在补充材料部分，通过为引入的不准确度度量引入估计器，我们使用模拟方法检查了一些结果，并提供了具有实际数据的示例。