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引用次数: 5
摘要
O'Dea et al. (1983, J. Phys.)化学，97,3911-3918)提出了一种经验程序，用于获得脉冲伏安数据模型中动力学参数的估计和置信区间。他们的目标是找到一个可以实时运行的过程，而不一定是一个具有良好定义的统计属性的过程。本文研究了它们过程的一些统计性质。我们表明，它们的估计方法等价于最大似然估计，它们的置信区间虽然与似然比置信区域相关，但具有不固定的覆盖概率，并且可能相当大。我们建议修改他们的程序，以获得更传统的置信区间。我们考察了干扰参数的存在对其过程的影响。最后讨论了序列相关误差的可能性。
Statistical Properties of a Procedure for Analyzing Pulse Voltammetric Data.
O'Dea et al. (1983, J. Phys. Chem.97, 3911-3918) proposed an empirical procedure for obtaining estimates and confidence intervals for kinetic parameters in a model for pulse voltammetric data. Their goal was to find a procedure that would run in real time, not necessarily one that would have well-defined statistical properties. In this paper we investigate some of the statistical properties of their procedure. We show that their estimation method is equivalent to maximum likelihood estimation, and their confidence intervals, while related to likelihood ratio confidence regions, have a coverage probability that is not fixed and that is potentially quite large. We suggest modifications of their procedure that lead to more traditional confidence intervals. We examine the effect on their procedure of the presence of nuisance paramters. Finally we discuss the possibility of serially correlated errors.
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