在实时高频数据的存在下,通过随机亚抽样进行反复事件分析
1Department of Biostatistics, University of Michigan, 1415 Washington Heights, Ann Arbor, MI 48109, USA.
概括
数字监测研究产生高频数据,用于分析反复发生的事件,如自杀念头. 一种新的随机亚抽样方法为这些复杂的数据提供了计算效率高,近似的概率估计.
科学领域:
- 数字健康数字健康
- 生物统计学 生物统计学
- 计算流行病学计算流行病学
背景情况:
- 数字监控研究从移动传感器在自然环境中收集高频,实时数据.
- 这些数据对于建模影响重复事件的生理变化有价值,例如物质使用和自杀念头.
- 传统的反复事件分析面临着高频数据的计算挑战.
研究的目的:
- 提出一个计算效率高,随机亚抽样框架,用于数字监测研究中基于概率的近似估计.
- 用高频数据在反复事件分析中解决概率计算的计算难度.
- 允许使用标准的统计软件来分析复杂的数字监控数据.
主要方法:
- 为了计算高效的估计,引入了一个随机子样本框架.
- 累积危险的衍生值的分样抽样无偏估计器用于近似日志概率.
- 已证明近似得分方程相当于逻辑回归得分方程.
主要成果:
- 拟议的方法为分析高频数字监控数据提供了一个计算效率高的替代方案.
- 该方法平衡了效率和准确性,受抽样率影响的权衡.
- 模拟证实了该方法的可行性,并证明了效率计算的权衡.
- 这种方法用自杀念头数字监测研究的数据来说明.
结论:
- 随机亚抽样框架为数字监测研究中的计算密集的概率估计提供了一个实用的解决方案.
- 这种方法有助于对实时,高频数据进行分析,以确定反复事件的结果.
- 对物流回归的等价性允许使用现有的统计软件进行可访问的实现.
相关概念视频
Sampling Continuous Time Signal
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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
In the...
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Aliasing
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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
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Sampling Theorem
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In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
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Upsampling
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Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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Bandpass Sampling
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In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2....
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2....
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Downsampling
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When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
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