In this paper, we propose a semiparametric regression model that is built upon an isotonic regression model with the assumption that the random error follows a skewed distribution. We develop an expectation-maximization algorithm for obtaining the maximum likelihood estimates of the model parameters, examine the asymptotic properties of the estimators, conduct simulation studies to explore the performance of the proposed model, and apply the method to evaluate the DNA–RNA–protein relationship and identify genes that are key factors in tumor progression.

中文翻译：

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应用于 DNA-RNA-蛋白质分析的偏态分布半参数等渗回归模型

在本文中，我们提出了一个半参数回归模型，该模型建立在等渗回归模型的基础上，并假设随机误差服从偏态分布。我们开发了一种期望最大化算法以获得模型参数的最大似然估计，检查估计量的渐近特性，进行模拟研究以探索所提出模型的性能，并将该方法应用于评估 DNA-RNA-蛋白质关系并确定作为肿瘤进展关键因素的基因。