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Journal articles on the topic 'Sequential probability ratio test'

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Published: 4 June 2021
Last updated: 25 July 2025

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1

Pramanik, Sandipan, Valen E. Johnson, and Anirban Bhattacharya. "A modified sequential probability ratio test." Journal of Mathematical Psychology 101 (April 2021): 102505. http://dx.doi.org/10.1016/j.jmp.2021.102505.

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2

Liu, Yu, and X. Rong Li. "Performance Analysis of Sequential Probability Ratio Test." Sequential Analysis 32, no. 4 (2013): 469–97. http://dx.doi.org/10.1080/07474946.2013.843329.

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3

Roller, William F. "A two- sample partially sequential probability ratio test." Communications in Statistics - Theory and Methods 17, no. 9 (1988): 2907–20. http://dx.doi.org/10.1080/03610928808829779.

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4

Stute, W. "The sequential probability ratio test under random censorship." Metrika 44, no. 1 (1996): 1–8. http://dx.doi.org/10.1007/bf02614050.

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5

Kleijnen, Jack P. C., and Wen Shi. "Sequential probability ratio tests: conservative and robust." SIMULATION 97, no. 1 (2020): 33–43. http://dx.doi.org/10.1177/0037549720954916.

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Because computers (except for parallel computers) generate simulation outputs sequentially, we recommend sequential probability ratio tests (SPRTs) for the statistical analysis of these outputs. However, until now simulation analysts have ignored SPRTs. To change this situation, we review SPRTs for the simplest case; namely, the case of choosing between two hypothesized values for the mean simulation output. For this case, the classic SPRT of Wald (Wald A. Sequential tests of statistical hypotheses. Ann Math Stat 1945; 16: 117–186) allows general types of distribution, including normal distrib
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6

Koch, Mark W., Greg B. Haschke, and Kevin T. Malone. "Classifying Acoustic Signatures Using the Sequential Probability Ratio Test." Sequential Analysis 23, no. 4 (2004): 557–83. http://dx.doi.org/10.1081/sqa-200038996.

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7

Gross, Kenny C., and Keith E. Humenik. "Sequential Probability Ratio Test for Nuclear Plant Component Surveillance." Nuclear Technology 93, no. 2 (1991): 131–37. http://dx.doi.org/10.13182/nt91-a34499.

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8

Kira, Shinichiro, Tianming Yang, and Michael N. Shadlen. "A Neural Implementation of Wald’s Sequential Probability Ratio Test." Neuron 85, no. 4 (2015): 861–73. http://dx.doi.org/10.1016/j.neuron.2015.01.007.

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9

Gardonyi, Gabor, Gabor Por, and Krisztian Samu. "An Enhanced Evaluation Method of Sequential Probability Ratio Test." Mathematical Problems in Engineering 2019 (March 18, 2019): 1–12. http://dx.doi.org/10.1155/2019/4724507.

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Accurate event detection has high priority in many technical applications. Events in acquired data series, their duration, and statistical parameters provide useful information about the observed system and about its current state. This information can be used for condition monitoring, state identification, and many kinds of forecasting as well. In some cases background noise covers the events and simple threshold or power monitoring methods cannot be used effectively. A novel method called Scaled Sequential Probability Ratio Test (SSPRT) produces 2D array of data via special cumulative sum ca
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10

Carpenter, J. Russell, F. Landis Markley, and Dara Gold. "Sequential Probability Ratio Test for Collision Avoidance Maneuver Decisions." Journal of the Astronautical Sciences 59, no. 1-2 (2012): 267–80. http://dx.doi.org/10.1007/s40295-013-0017-2.

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11

Jarman, K. D., L. E. Smith, and D. K. Carlson. "Sequential probability ratio test for long-term radiation monitoring." IEEE Transactions on Nuclear Science 51, no. 4 (2004): 1662–66. http://dx.doi.org/10.1109/tns.2004.832543.

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12

Li, Lingling, and Martin Kulldorff. "A conditional maximized sequential probability ratio test for Pharmacovigilance." Statistics in Medicine 29, no. 2 (2009): 284–95. http://dx.doi.org/10.1002/sim.3780.

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13

Kharin, Alexey, and Sergey Chernov. "An Approach to Robustness Evaluation for Sequential Testing under Functional Distortions in L1-metric." Austrian Journal of Statistics 43, no. 3 (2014): 195–203. http://dx.doi.org/10.17713/ajs.v43i3.31.

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The problem of sensitivity analysis for the sequential probability ratio test under func- tional distortions of the observation probability distribution is considered. For the situa- tion where distorted densities of the log likelihood ratio statistic belong to ?-neighborhoods of hypothetical centers in the L1-metric the least favorable distributions that maximize the conditional error probabilities are constructed. The instability coefficient is obtained to enable robustness evaluation for the sequential probability ratio test and its modification – trimmed sequential probability ratio test.
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14

Carpenter, J. Russell, and F. Landis Markley. "Wald Sequential Probability Ratio Test for Space Object Conjunction Assessment." Journal of Guidance, Control, and Dynamics 37, no. 5 (2014): 1385–96. http://dx.doi.org/10.2514/1.g000478.

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15

Liu, Y., and S. D. Blostein. "Optimality of the sequential probability ratio test for nonstationary observations." IEEE Transactions on Information Theory 38, no. 1 (1992): 177–82. http://dx.doi.org/10.1109/18.108268.

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16

Harel, Ofer, Nitis Mukhopadhyay, and Jun Yan. "On a Sequential Probability Ratio Test Subject to Incomplete Data." Sequential Analysis 30, no. 4 (2011): 441–56. http://dx.doi.org/10.1080/07474946.2011.619103.

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17

Buonaguidi, Bruno, and Pietro Muliere. "On the Wald's Sequential Probability Ratio Test for Lévy Processes." Sequential Analysis 32, no. 3 (2013): 267–87. http://dx.doi.org/10.1080/07474946.2013.803799.

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18

Li, Xiaoou, Jingchen Liu, and Zhiliang Ying. "Generalized Sequential Probability Ratio Test for Separate Families of Hypotheses." Sequential Analysis 33, no. 4 (2014): 539–63. http://dx.doi.org/10.1080/07474946.2014.961861.

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19

Silva, Ivair R., Lingling Li, and Martin Kulldorff. "Exact conditional maximized sequential probability ratio test adjusted for covariates." Sequential Analysis 38, no. 1 (2019): 115–33. http://dx.doi.org/10.1080/07474946.2019.1574446.

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20

Lavigne, L., F. Cazaurang, L. Fadiga, and P. Goupil. "New sequential probability ratio test: Validation on A380 flight data." Control Engineering Practice 22 (January 2014): 1–9. http://dx.doi.org/10.1016/j.conengprac.2013.09.008.

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21

Pratt, J. C., and D. A. Close. "Application of sequential probability ratio test to uranium enrichment verification." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 258, no. 2 (1987): 255–60. http://dx.doi.org/10.1016/0168-9002(87)90066-0.

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22

Nydick, Steven W. "The Sequential Probability Ratio Test and Binary Item Response Models." Journal of Educational and Behavioral Statistics 39, no. 3 (2014): 203–30. http://dx.doi.org/10.3102/1076998614524824.

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23

Heckman, Nancy E. "A Sequential Probability Ratio Test Using a Biased Coin Design." Annals of Statistics 13, no. 2 (1985): 789–94. http://dx.doi.org/10.1214/aos/1176349556.

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24

Xiang, Dongdong, Xiaolong Pu, Lei Wang, and Yan Li. "Degenerate-Generalized Likelihood Ratio Test for One-Sided Composite Hypotheses." Mathematical Problems in Engineering 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/538342.

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We propose the degenerate-generalized likelihood ratio test (DGLRT) for one-sided composite hypotheses in cases of independent and dependent observations. The theoretical results show that the DGLRT has controlled error probabilities and stops sampling with probability 1 under some regularity conditions. Moreover, its stopping boundaries are constants and can be easily determined using the provided searching algorithm. According to the simulation studies, the DGLRT has less overall expected sample sizes and less relative mean index (RMI) values in comparison with the sequential probability rat
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25

Huebner, Alan R., and Matthew D. Finkelman. "On Computing the Key Probability in the Stochastically Curtailed Sequential Probability Ratio Test." Applied Psychological Measurement 40, no. 2 (2015): 142–56. http://dx.doi.org/10.1177/0146621615611633.

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26

Ton That Tu and Yu Kharin. "Sequential probability ratio test for many simple hypotheses on parameters of time series with trend." Journal of the Belarusian State University. Mathematics and Informatics, no. 1 (April 12, 2019): 35–45. http://dx.doi.org/10.33581/2520-6508-2019-1-35-45.

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The problem of sequential test for many simple hypotheses on parameters of time series with trend is considered. Two approaches, including M-ary sequential probability ratio test and matrix sequential probability ratio test are used for constructing the sequential test. The sufficient conditions of finite terminations of the test and the existence of finite moments of their stopping times are given. The upper bounds for the average numbers of observations are obtained. With the thresholds chosen suitably, these tests can belong to some specified classes of statistical tests. Numerical examples
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27

Lotov, V. I. "Asymptotic Expansions in a Sequential Likelihood Ratio Test." Theory of Probability & Its Applications 32, no. 1 (1988): 57–67. http://dx.doi.org/10.1137/1132005.

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28

WOODROOFE, MICHAEL. "Estimation after sequential testing: A simple approach for a truncated sequential probability ratio test." Biometrika 79, no. 2 (1992): 347–53. http://dx.doi.org/10.1093/biomet/79.2.347.

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29

Bacanli, Sevil, and Duygu Icen. "Sequential Probability Ratio Test of Correlation Coefficient Using Fuzzy Hypothesis Testing." Open Journal of Statistics 03, no. 03 (2013): 195–99. http://dx.doi.org/10.4236/ojs.2013.33022.

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30

Russell Carpenter, J., and F. Landis Markley. "Correction: Wald Sequential Probability Ratio Test for Space Object Conjunction Assessment." Journal of Guidance, Control, and Dynamics 43, no. 11 (2020): 2204. http://dx.doi.org/10.2514/1.g000478.c1.

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31

Ivan Chang, Yuan-chin. "Application of Sequential Probability Ratio Test to Computerized Criterion-Referenced Testing." Sequential Analysis 23, no. 1 (2004): 45–61. http://dx.doi.org/10.1081/sqa-120030194.

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32

Gao, Yongxin, Yu Liu, and X. Rong Li. "Tracking-Aided Classification of Targets Using Multihypothesis Sequential Probability Ratio Test." IEEE Transactions on Aerospace and Electronic Systems 54, no. 1 (2018): 233–45. http://dx.doi.org/10.1109/taes.2017.2747958.

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33

Mudholkar, Govind S., Ziji Yu, and Saria S. Awadalla. "Sequential probability ratio test for the mode of M-Gaussian distribution." Sequential Analysis 35, no. 2 (2016): 226–37. http://dx.doi.org/10.1080/07474946.2016.1165538.

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34

Eggen, T. J. H. M. "Item Selection in Adaptive Testing with the Sequential Probability Ratio Test." Applied Psychological Measurement 23, no. 3 (1999): 249–61. http://dx.doi.org/10.1177/01466219922031365.

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35

Tang, Liansheng, Ming Tan, and Xiao-Hua Zhou. "A sequential conditional probability ratio test procedure for comparing diagnostic tests." Journal of Applied Statistics 38, no. 8 (2010): 1623–32. http://dx.doi.org/10.1080/02664763.2010.515678.

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36

Ortiz, M. C., L. A. Sarabia, and J. López Palacios. "Sequential probability ratio test for evaluating functionality in acid-base potentiometry." Journal of Chemometrics 3, S1 (2005): 231–39. http://dx.doi.org/10.1002/cem.1180030514.

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37

Cressie, Noel, and Peter B. Morgan. "The VPRT: A Sequential Testing Procedure Dominating the SPRT." Econometric Theory 9, no. 3 (1993): 431–50. http://dx.doi.org/10.1017/s0266466600007751.

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Under more general assumptions than those usually made in the sequential analysis literature, a variable-sample-size-sequential probability ratio test (VPRT) of two simple hypotheses is found that maximizes the expected net gain over all sequential decision procedures. In contrast, Wald and Wolfowitz [25] developed the sequential probability ratio test (SPRT) to minimize expected sample size, but their assumptions on the parameters of the decision problem were restrictive. In this article we show that the expected net-gain-maximizing VPRT also minimizes the expected (with respect to both data
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38

Luo, Peng, Timothy A. DeVol, and Julia L. Sharp. "Sequential Probability Ratio Test Using Scaled Time-Intervals for Environmental Radiation Monitoring." IEEE Transactions on Nuclear Science 57, no. 6 (2010): 1556–62. http://dx.doi.org/10.1109/tns.2010.2045900.

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Sequential probability ratio test (SPRT) of scaled time-interval data (time to record N radiation pulses),SPRT_scaled, was evaluated against commonly used single-interval test (SIT) and SPRT with a fixed counting interval,SPRT_fixed, on experimental and simulated data. Experimental data were acquired with a DGF-4C (XIA, Inc) system in list mode. Simulated time-interval data were obtained using Monte Carlo techniques to perform a random radiation sampling of the Poisson distribution. The three methods (SIT, SPRT_fixed and SPRT_scaled) were compared in terms of detection probability and average
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39

Liu, Chang. "The Elevator Fault Diagnosis Method Based on Sequential Probability Ratio Test (SPRT)." Automation, Control and Intelligent Systems 5, no. 4 (2017): 50. http://dx.doi.org/10.11648/j.acis.20170504.11.

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40

Schnuerch, Martin, and Edgar Erdfelder. "Controlling decision errors with minimal costs: The sequential probability ratio t test." Psychological Methods 25, no. 2 (2020): 206–26. http://dx.doi.org/10.1037/met0000234.

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41

Coop, Kenneth L. "Monte Carlo Simulation of the Sequential Probability Ratio Test for Radiation Monitoring." IEEE Transactions on Nuclear Science 32, no. 1 (1985): 934–38. http://dx.doi.org/10.1109/tns.1985.4336969.

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42

Wang, Lei, Dongdong Xiang, Xiaolong Pu, and Yan Li. "A Double Sequential Weighted Probability Ratio Test for One-Sided Composite Hypotheses." Communications in Statistics - Theory and Methods 42, no. 20 (2013): 3678–95. http://dx.doi.org/10.1080/03610926.2012.733474.

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43

Kulldorff, Martin, Robert L. Davis, Margarette Kolczak†, Edwin Lewis, Tracy Lieu, and Richard Platt. "A Maximized Sequential Probability Ratio Test for Drug and Vaccine Safety Surveillance." Sequential Analysis 30, no. 1 (2011): 58–78. http://dx.doi.org/10.1080/07474946.2011.539924.

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44

Park, Changsoon. "An approximation method for the characteristics of the sequential probability ratio test." Sequential Analysis 11, no. 1 (1992): 55–72. http://dx.doi.org/10.1080/07474949208836244.

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45

Rácz, A. "An improved single sensor parity space algorithm for sequential probability ratio test." Annals of Nuclear Energy 22, no. 12 (1995): 747–61. http://dx.doi.org/10.1016/0306-4549(95)00012-h.

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46

Malladi, D. P., and J. L. Speyer. "A generalized Shiryayev sequential probability ratio test for change detection and isolation." IEEE Transactions on Automatic Control 44, no. 8 (1999): 1522–34. http://dx.doi.org/10.1109/9.780416.

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47

Xiong, Xiaoping, Ming Tan, and James Boyett. "Sequential Conditional Probability Ratio Tests for Normalized Test Statistic on Information Time." Biometrics 59, no. 3 (2003): 624–31. http://dx.doi.org/10.1111/1541-0420.00072.

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48

Hunter, Patti Wilger. "Connections, Context, and Community: Abraham Wald and the Sequential Probability Ratio Test." Mathematical Intelligencer 26, no. 1 (2004): 25–33. http://dx.doi.org/10.1007/bf02985397.

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49

Cheng, Shunfeng, and Michael Pecht. "Using cross-validation for model parameter selection of sequential probability ratio test." Expert Systems with Applications 39, no. 9 (2012): 8467–73. http://dx.doi.org/10.1016/j.eswa.2012.01.172.

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50

Han, Rui, Liping Du, and Yueyun Chen. "Performance Analysis of Sequential Detection of Primary User Number Based on Multihypothesis Sequential Probability Ratio Test." IEEE Communications Letters 22, no. 5 (2018): 1034–37. http://dx.doi.org/10.1109/lcomm.2018.2809738.

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