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Showing 2 results for Fakoor
Masoud Ajami, Vaheed Fakoor, Sara Jomhoori,
Volume 5, Issue 1 (9-2011)
Abstract
In sampling, arisen data with probability proportional to its length is called Length-bised. Nonparametric density estimation in length-biased sampling is more difficult than other states. One of the famous estimators in this context is the one introduced by Jones (1991). In this paper, we calculate the bandwidth parameter of this estimator by Bayes'method. The strong consistency of this estimator have been proved with a random Bandwidth. We have compared the performance of Bayes'method with cross validation by using simulation studies.
Anis Iranmanesh, Farzaneh Oliazadeh, Vahid Fakoor,
Volume 15, Issue 2 (3-2022)
Abstract
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.
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