Jiwei Zhao’s Contribution to the Discussion of ‘Assumption-Lean Inference for Generalised Linear Model Parameters’ by Vansteelandt and Dukes

Jiwei Zhao’s Contribution to the Discussion of ‘Assumption-Lean Inference for Generalised Linear Model Parameters’ by Vansteelandt and Dukes
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赵继伟对 Vansteelandt 和 Dukes 的“广义线性模型参数的假设精益推理”讨论的贡献

DOI:
10.1111/rssb.12534
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发表时间:
2022
期刊:
Journal of the Royal Statistical Society Series B: Statistical Methodology
影响因子:
--
通讯作者:
Zhao, Jiwei
Zhao, Jiwei
中科院分区:
--
文献类型:
--
作者:
Zhao, Jiwei

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一个有趣的事实是,当我们考虑广义部分线性模型HT< math altimg=" urn: x-wiley: 13697412: media: rssb12534: rssb12534-math-0013" display=" block" xmlns=" http://www. w3. org/1998/Math/MathML" >< mrow>< mi>g < mo>{< mi>E< mo>(< mi>Y< mspace width=" 0.2 ex"/>< mo>|< mspace width=" 0.2 ex"/>< mi>A< mo>,< mi>L< mo>)< mo>}< mo>= < mi>< mi>A< mo>+< mi>< mo>(< mi>L< mo>)< mo>, HT然后HT< math altimg=" urn: x-wiley: 13697412: media: rssb12534: rssb12534-math-0014" xmlns=" http://www. w3. org/1998/Math/MathML" >< msup>< mi>< mo>* ht总是等于I i。HT< math altimg=" urn: x-wiley: 13697412: media: rssb12534: rssb12534-math-0011" xmlns=" http://www. w3. org/1998/Math/MathML" >< msup>< mi>< mo>* ht的动机是评估具有错误指定模型HT E * 的有效影响函数的平均零属性< math altimg=" urn: x-wiley: 13697412: media: rssb12534: rssb12534-math-0012" xmlns=" http://www. w3. org/1998/Math/MathML" >< mrow>< msup>< mi>< mo> < mrow> < mo>(< mi>A)< mspace width=" 0.2 ex"/>< mo>|< mspace width=" 0.2 ex"/>< mi>L< mo>)的 好的。[摘自文章]
An interesting fact is, when we consider the generalised partially linear model HT < math altimg=" urn: x-wiley: 13697412: media: rssb12534: rssb12534-math-0013" display=" block" xmlns=" http://www. w3. org/1998/Math/MathML" > < mrow> < mi> g < mo>{ < mi> E < mo>( < mi> Y < mspace width=" 0.2 ex"/> < mo>| < mspace width=" 0.2 ex"/> < mi> A < mo>, < mi> L < mo>) < mo>} < mo>= < mi> < mi> A < mo>+ < mi> < mo>( < mi> L < mo>) < mo>, ht then HT < math altimg=" urn: x-wiley: 13697412: media: rssb12534: rssb12534-math-0014" xmlns=" http://www. w3. org/1998/Math/MathML" > < msup> < mi> < mo>* ht is always equal to I i. The HT < math altimg=" urn: x-wiley: 13697412: media: rssb12534: rssb12534-math-0011" xmlns=" http://www. w3. org/1998/Math/MathML" > < msup> < mi> < mo>* ht is motivated from evaluating the mean zero property of the efficient influence function with the misspecified model HT < math altimg=" urn: x-wiley: 13697412: media: rssb12534: rssb12534-math-0012" xmlns=" http://www. w3. org/1998/Math/MathML" > < mrow> < msup> < mi> E < mo>* < mrow> < mo>( < mi> A < mspace width=" 0.2 ex"/> < mo>| < mspace width=" 0.2 ex"/> < mi> L < mo>) ht.[Extracted from the article]