关键词: Bandwidth Kernel density estimation Lifetime data Logistic distribution Mean squared error

来  源:   DOI:10.1016/j.heliyon.2024.e27730   PDF(Pubmed)

Abstract:
Statistical data analysis available in most scientific fields is often recorded with measurement error. The modeling of these statistical data by ignoring the measurement errors, leads to estimators of the parameters of the distributions, whose use does not achieve sufficient accuracy in the goodness of fit. In reliability criteria, one of the important issues is hazard rate function. It prompted us to investigate the hazard rate criterion in the presence of measurement error generated from the normal or logistic distribution. Now, while providing the estimator for the density function using local time polynomial estimator methods, the risk rate function is estimated according to the contamination degree of 15 or 30%. Finally, we present the numerical analysis.
摘要:
大多数科学领域可用的统计数据分析通常记录有测量误差。通过忽略测量误差对这些统计数据进行建模,导致分布参数的估计,其使用在拟合优度方面没有达到足够的准确性。在可靠性标准中,其中一个重要问题是危险率函数。它促使我们在存在正态分布或逻辑分布产生的测量误差的情况下研究危险率标准。现在,在使用局部时间多项式估计方法为密度函数提供估计器的同时,根据15%或30%的污染程度估算风险率函数。最后,我们给出了数值分析。
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