RT - Journal Article T1 - Estimation of Past Entropy in Length-Biased Data JF - JSS YR - 2022 JO - JSS VO - 15 IS - 2 UR - http://jss.irstat.ir/article-1-735-en.html SP - 363 EP - 380 K1 - Length-Biased Data K1 - Kernel Density Estimation K1 - Past Entropy K1 - Simulation K1 - Strong Consistency AB - In this article, we propose two non-parametric estimators for the past entropy based on length-biased data, and the strong consistency of the proposed estimators is proved. In addition, some simulations are conducted to evaluate the performance of the proposed estimators. Based on the results, we show that they have better performance in a different region of the probability distribution for length-biased random variables. LA eng UL http://jss.irstat.ir/article-1-735-en.html M3 10.52547/jss.15.2.363 ER -