Characterizations based on length-biased weighted measure of inaccuracy for truncated random variables

[摘要] In survival studies and life testing, the data are generally truncated. Recently, authors have studied a weighted version of Kerridge inaccuracy measure for truncated distributions. In the present paper we consider weighted residual and weighted past inaccuracy measure and study various aspects of their bounds. Characterizations of several important continuous distributions are provided based on weighted residual (past) inaccuracy measure.

[学科分类] 应用数学

[关键词] characterization;entropy;weighted residual (past) inaccuracy;proportional (reversed) hazard model