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Sequential decision problems for marked Poisson processes

delete2026-03-01
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PRE
AI
D
DeLucia, James
H
H. Vincent Poor *
DOI:10.1080/07474946.2026.2641754delete
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Abstract

Abstract

En 中文
This article develops and explores the sequential detection and quickest detection problems for marked Poisson processes. In particular, mixed-differential-difference equations that describe the error probabilities and average sample numbers of the sequential probability ratio test (SPRT), and the average time between false alarms and the average delay until detection of the cumulative sum (CUSUM) test are derived. A numerical technique for solving these equations is described, and this method is used to analyze several examples, revealing some basic properties of these tests.
Keywords:
Marked Poisson processes
sequential testing
performance analysis

Journal

S
SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS
IF:
0.6
Papers:
23
Citations:
0

Organization

C
center for communications & computing
Scholars:
6
Papers: 6
Citations: 0
P
princeton university
Scholars:
3.0K
Papers: 1.6K
Citations: 0