To overcome the drawbacks of Shannon's entropy, the concept of cumulative residual and past entropy has been proposed in the information theoretic literature. Furthermore, the Shannon entropy has been generalized in a number of different ways by many researchers. One important extension is Kerridge inaccuracy measure. In the present communication we study the cumulative residual and past inaccuracy measures, which are extensions of the corresponding cumulative entropies. Several properties, including monotonicity and bounds, are obtained for left, right and doubly truncated random variables.
翻译:为了克服香农的昆虫的缺点,信息理论文献中提出了累积残留物和过去酶的概念,此外,许多研究人员以不同的方式普遍采用了香农的酶,其中一个重要的延伸是Kerridge的不精确度量。在本函件中,我们研究了累积残留物和过去的不准确度量,这是相应的累积性寄生物的延伸。对左、右和双曲随机变量,取得了若干特性,包括单音度和界限。