Efficient computation of mixture confidence sequences in generalized linear models

📅 2026-09-17
📈 Citations: 0
Influential: 0
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🤖 AI Summary
为解决重复获取数据时经典置信区间产生矛盾推断的问题,提出了一种计算广义线性模型中回归系数混合置信序列的高效方法。
📝 Abstract
Classical confidence intervals, when repeatedly obtained on accumulating data at different sample sizes, produce contradictory inferences with high probability. We propose a simple and efficient strategy for computing, instead, mixture confidence sequences for regression coefficients in generalized linear models under this sequential framework. Simulations demonstrate the computational convenience of our approach and the importance of drawing inferential conclusions based on these anytime-valid tools when observations become available in batches over time. The usefulness of the proposed procedure is also shown in the analysis of streaming data from the American National Automotive Sampling System.
Problem

Research questions and friction points this paper is trying to address.

confidence intervals
generalized linear models
contradictory inferences
Innovation

Methods, ideas, or system contributions that make the work stand out.

mixture confidence sequences
generalized linear models
sequential framework
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