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Journal articles on the topic 'Distributed Sequential Hypothesis Testing'

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1

Li, Zishuo, Yilin Mo, and Fei Hao. "Distributed Sequential Hypothesis Testing With Byzantine Sensors." IEEE Transactions on Signal Processing 69 (2021): 3044–58. http://dx.doi.org/10.1109/tsp.2021.3075147.

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2

Li, Shang, and Xiaodong Wang. "Distributed Sequential Hypothesis Testing With Quantized Message-Exchange." IEEE Transactions on Information Theory 66, no. 1 (January 2020): 350–67. http://dx.doi.org/10.1109/tit.2019.2947494.

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3

Li, Shang, and Xiaodong Wang. "Fully Distributed Sequential Hypothesis Testing: Algorithms and Asymptotic Analyses." IEEE Transactions on Information Theory 64, no. 4 (April 2018): 2742–58. http://dx.doi.org/10.1109/tit.2018.2806961.

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4

Sahu, Anit Kumar, and Soummya Kar. "Distributed Sequential Detection for Gaussian Shift-in-Mean Hypothesis Testing." IEEE Transactions on Signal Processing 64, no. 1 (January 2016): 89–103. http://dx.doi.org/10.1109/tsp.2015.2478737.

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5

Lee, Ji-Woong, and Geir E. Dullerud. "Dynamic sequential team multi-hypothesis testing under uniformly distributed nonstationary observations." Systems & Control Letters 57, no. 12 (December 2008): 1030–36. http://dx.doi.org/10.1016/j.sysconle.2008.06.007.

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6

Pantula, Sastry G. "Testing for Unit Roots in Time Series Data." Econometric Theory 5, no. 2 (August 1989): 256–71. http://dx.doi.org/10.1017/s0266466600012421.

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Let Yt satisfy the stochastic difference equation for t = 1,2,…, where et are independent and identically distributed random variables with mean zero and variance σ2 and the initial conditions (Y−p+1,…, Y0) are fixed constants. It is assumed that the process is invertible and that the true, but unknown, roots m1,m2,…,mp of satisfy the hypothesis Hd: m1 = … = md = 1 and |mj| < 1 for j = d + 1,…,p. We present a reparameterization of the model for Yt that is convenient for testing the hypothesis Hd. We consider the asymptotic properties of (i) a likelihood ratio type “F-statistic” for testing the hypothesis Hd, (ii) a likelihood ratio type t-statistic for testing the hypothesis Hd against the alternative Hd−1. Using these asymptotic results, we obtain two sequential testing procedures that are asymptotically consistent.
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7

Tinochai, Khanittha, Katechan Jampachaisri, Yupaporn Areepong, and Saowanit Sukparungsee. "Empirical Bayes Prediction in a Sequential Sampling Plan Based on Loss Functions." Processes 7, no. 12 (December 11, 2019): 944. http://dx.doi.org/10.3390/pr7120944.

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The application of empirical Bayes for lot inspection in sequential sampling plans is usually conducted to estimate the proportion of defective items in the lot rather than for hypothesis testing of the variables’ process mean. In this paper, we propose the use of empirical Bayes in a sequential sampling plan variables’ process mean testing under a squared error loss function and precautionary loss function, for which the prediction is performed to estimate a sequence of the mean when the data are normally distributed in the case of a known mean and unknown variance. The proposed plans are compared with the sequential sampling plan. The proposed techniques yielded smaller average sample number (ASN) and provided higher probability of acceptance (Pa) than the sequential sampling plan.
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Zacks, Shelemyahu. "Two-stage and sequential sampling for estimation and testing with prescribed precision." Encyclopedia with Semantic Computing and Robotic Intelligence 01, no. 01 (March 2017): 1650004. http://dx.doi.org/10.1142/s2425038416500048.

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Statistical data analysis includes several phases. First, there is the phase of data collection. Second, there is the phase of analysis and inference. The two phases are interconnected. There are two types of data analysis. One type is called parametric and the other type is nonparametric. In the present paper, we discuss parametric inference. In parametric inference, we model the results of a given experiment as realization of random variables having a particular distribution, which is specified by its parameters. A random sample is a sequence of independent and identically distributed (i.i.d.) random variables. Statistics are functions of the data in the sample, which do not involve unknown parameters. A statistical inference is based on statistics of a given sample. We discuss two kinds of parametric inference. Estimating the values of parameters, or testing hypotheses concerning the parameters in either kind of inference, we are concerned with the accuracy and precision of the results. In estimation of parameters, the results are precise if, with high probability, they belong to a specified neighborhoods of the parameters. In testing hypotheses, one has to decide which one of two or several hypotheses should be accepted. Hypotheses which are not accepted are rejected. We distinguish between two types of errors. Type I error is the one committed by rejecting a correct hypothesis. Type II is that of accepting a wrong hypothesis. It is desired that both types of errors will occur simultaneously with small probabilities. Both precision in estimation or small error probabilities in testing depend on the statistics used (estimators or test functions) and on the sample size. In this paper, we present sampling procedures that attain the desired objectives. In Sec. 2, we discuss estimation of the parameters of a binomial distribution. In Sec. 3, more general results about estimation of expected values are presented. In Sec. 4, we discuss the Wald Sequential Probability Ratio Test (SPRT), which has optimal properties for testing two simple hypotheses.
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9

Li, Cheng, and Guangping Zhu. "Underwater multi-sensor Bayesian distributed detection and data fusion." MATEC Web of Conferences 283 (2019): 07014. http://dx.doi.org/10.1051/matecconf/201928307014.

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The relationship of decision rule of sensor for each other is relevant to data fusion, so different topological network of sensors usually results in different performance. This paper considers the parallel and sequential topological data fusion in some detail and applies it to detect underwater signal with three sensors which respectively detects the energy, impulse width and frequency. In this paper, the signal detection model is specified for binary hypotheses testing problem. This paper compares the probabilities of error and Bayesian risk under both topologies corresponding to different value of priori probabilities of two hypotheses. Usually, the parallel architecture of detection and fusion with three sensors as specified in this paper needs to solve eleven nonlinear equations to determine the thresholds of three sensors and fusion rules, as to sequential architecture, five nonlinear equations need to be solved. So, this paper attempts to search numerical solutions for the parallel and sequential architecture of distributed detection and data fusion. Finally, this signal detection problem is simulated.
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10

Lepora, Nathan F., and Kevin N. Gurney. "The Basal Ganglia Optimize Decision Making over General Perceptual Hypotheses." Neural Computation 24, no. 11 (November 2012): 2924–45. http://dx.doi.org/10.1162/neco_a_00360.

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The basal ganglia are a subcortical group of interconnected nuclei involved in mediating action selection within cortex. A recent proposal is that this selection leads to optimal decision making over multiple alternatives because the basal ganglia anatomy maps onto a network implementation of an optimal statistical method for hypothesis testing, assuming that cortical activity encodes evidence for constrained gaussian-distributed alternatives. This letter demonstrates that this model of the basal ganglia extends naturally to encompass general Bayesian sequential analysis over arbitrary probability distributions, which raises the proposal to a practically realizable theory over generic perceptual hypotheses. We also show that the evidence in this model can represent either log likelihoods, log-likelihood ratios, or log odds, all leading proposals for the cortical processing of sensory data. For these reasons, we claim that the basal ganglia optimize decision making over general perceptual hypotheses represented in cortex. The relation of this theory to cortical encoding, cortico-basal ganglia anatomy, and reinforcement learning is discussed.
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11

Baras, J. S., and D. C. MacEnany. "Bayesian Sequential Hypothesis Testing." IFAC Proceedings Volumes 23, no. 8 (August 1990): 173–78. http://dx.doi.org/10.1016/s1474-6670(17)52003-0.

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12

Naghshvar, Mohammad, and Tara Javidi. "Active sequential hypothesis testing." Annals of Statistics 41, no. 6 (December 2013): 2703–38. http://dx.doi.org/10.1214/13-aos1144.

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13

Cao, Shuchen, Ruizhi Zhang, and Shaofeng Zou. "Adversarially robust sequential hypothesis testing." Sequential Analysis 41, no. 1 (January 2, 2022): 81–103. http://dx.doi.org/10.1080/07474946.2022.2043050.

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14

Li, Yun, Sirin Nitinawarat, and Venugopal V. Veeravalli. "Universal sequential outlier hypothesis testing." Sequential Analysis 36, no. 3 (July 3, 2017): 309–44. http://dx.doi.org/10.1080/07474946.2017.1360086.

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15

Novikov, Andrey, and Pedro Reyes-Pérez. "Optimal multistage sequential hypothesis testing." Journal of Statistical Planning and Inference 205 (March 2020): 219–30. http://dx.doi.org/10.1016/j.jspi.2019.07.005.

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16

Sreekumar, Sreejith, Asaf Cohen, and Deniz Gündüz. "Privacy-Aware Distributed Hypothesis Testing." Entropy 22, no. 6 (June 16, 2020): 665. http://dx.doi.org/10.3390/e22060665.

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A distributed binary hypothesis testing (HT) problem involving two parties, a remote observer and a detector, is studied. The remote observer has access to a discrete memoryless source, and communicates its observations to the detector via a rate-limited noiseless channel. The detector observes another discrete memoryless source, and performs a binary hypothesis test on the joint distribution of its own observations with those of the observer. While the goal of the observer is to maximize the type II error exponent of the test for a given type I error probability constraint, it also wants to keep a private part of its observations as oblivious to the detector as possible. Considering both equivocation and average distortion under a causal disclosure assumption as possible measures of privacy, the trade-off between the communication rate from the observer to the detector, the type II error exponent, and privacy is studied. For the general HT problem, we establish single-letter inner bounds on both the rate-error exponent-equivocation and rate-error exponent-distortion trade-offs. Subsequently, single-letter characterizations for both trade-offs are obtained (i) for testing against conditional independence of the observer’s observations from those of the detector, given some additional side information at the detector; and (ii) when the communication rate constraint over the channel is zero. Finally, we show by providing a counter-example where the strong converse which holds for distributed HT without a privacy constraint does not hold when a privacy constraint is imposed. This implies that in general, the rate-error exponent-equivocation and rate-error exponent-distortion trade-offs are not independent of the type I error probability constraint.
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17

Chair, Z., and P. K. Varshney. "Distributed Bayesian hypothesis testing with distributed data fusion." IEEE Transactions on Systems, Man, and Cybernetics 18, no. 5 (1988): 695–99. http://dx.doi.org/10.1109/21.21597.

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18

Thakor, N. V., A. Natarajan, and G. F. Tomaselli. "Multiway sequential hypothesis testing for tachyarrhythmia discrimination." IEEE Transactions on Biomedical Engineering 41, no. 5 (May 1994): 480–87. http://dx.doi.org/10.1109/10.293223.

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19

Li, Yonglong, and Vincent Y. F. Tan. "Second-Order Asymptotics of Sequential Hypothesis Testing." IEEE Transactions on Information Theory 66, no. 11 (November 2020): 7222–30. http://dx.doi.org/10.1109/tit.2020.3006014.

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20

Fellouris, Georgios, and George V. Moustakides. "Decentralized Sequential Hypothesis Testing Using Asynchronous Communication." IEEE Transactions on Information Theory 57, no. 1 (January 2011): 534–48. http://dx.doi.org/10.1109/tit.2010.2090249.

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21

Tsitovich, I. I. "Sequential Design of Experiments for Hypothesis Testing." Theory of Probability & Its Applications 29, no. 4 (January 1985): 814–17. http://dx.doi.org/10.1137/1129109.

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22

Srivastava, Vaibhav, Kurt Plarre, and Francesco Bullo. "Randomized Sensor Selection in Sequential Hypothesis Testing." IEEE Transactions on Signal Processing 59, no. 5 (May 2011): 2342–54. http://dx.doi.org/10.1109/tsp.2011.2106777.

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23

Bar, Shahar, and Joseph Tabrikian. "A Sequential Framework for Composite Hypothesis Testing." IEEE Transactions on Signal Processing 66, no. 20 (October 15, 2018): 5484–99. http://dx.doi.org/10.1109/tsp.2018.2866813.

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24

EMERSON, SCOTT S., and THOMAS R. FLEMING. "Parameter estimation following group sequential hypothesis testing." Biometrika 77, no. 4 (1990): 875–92. http://dx.doi.org/10.1093/biomet/77.4.875.

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25

Ober, Pieter Bastiaan. "Sequential analysis: hypothesis testing and changepoint detection." Journal of Applied Statistics 42, no. 10 (February 26, 2015): 2290. http://dx.doi.org/10.1080/02664763.2015.1015813.

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26

Govindarajulu, Z. "The sequential statistical analysis of hypothesis testing." European Journal of Operational Research 44, no. 1 (January 1990): 126–27. http://dx.doi.org/10.1016/0377-2217(90)90326-7.

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27

Dayanik, Savas, and Semih O. Sezer. "Multisource Bayesian sequential binary hypothesis testing problem." Annals of Operations Research 201, no. 1 (September 12, 2012): 99–130. http://dx.doi.org/10.1007/s10479-012-1217-z.

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28

Gilani, Atefeh, Selma Belhadj Amor, Sadaf Salehkalaibar, and Vincent Y. F. Tan. "Distributed Hypothesis Testing with Privacy Constraints." Entropy 21, no. 5 (May 7, 2019): 478. http://dx.doi.org/10.3390/e21050478.

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We revisit the distributed hypothesis testing (or hypothesis testing with communication constraints) problem from the viewpoint of privacy. Instead of observing the raw data directly, the transmitter observes a sanitized or randomized version of it. We impose an upper bound on the mutual information between the raw and randomized data. Under this scenario, the receiver, which is also provided with side information, is required to make a decision on whether the null or alternative hypothesis is in effect. We first provide a general lower bound on the type-II exponent for an arbitrary pair of hypotheses. Next, we show that if the distribution under the alternative hypothesis is the product of the marginals of the distribution under the null (i.e., testing against independence), then the exponent is known exactly. Moreover, we show that the strong converse property holds. Using ideas from Euclidean information theory, we also provide an approximate expression for the exponent when the communication rate is low and the privacy level is high. Finally, we illustrate our results with a binary and a Gaussian example.
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29

Pados, D., K. W. Halford, D. Kazakos, and P. Papantoni-Kazakos. "Distributed binary hypothesis testing with feedback." IEEE Transactions on Systems, Man, and Cybernetics 25, no. 1 (1995): 21–42. http://dx.doi.org/10.1109/21.362967.

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30

Lalitha, Anusha, Tara Javidi, and Anand D. Sarwate. "Social Learning and Distributed Hypothesis Testing." IEEE Transactions on Information Theory 64, no. 9 (September 2018): 6161–79. http://dx.doi.org/10.1109/tit.2018.2837050.

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31

Schönbrodt, Felix D., Eric-Jan Wagenmakers, Michael Zehetleitner, and Marco Perugini. "Sequential hypothesis testing with Bayes factors: Efficiently testing mean differences." Psychological Methods 22, no. 2 (June 2017): 322–39. http://dx.doi.org/10.1037/met0000061.

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32

Gordienko, E., J. Ruiz de Chávez, and A. García. "Note on stability estimation in sequential hypothesis testing." Applicationes Mathematicae 40, no. 1 (2013): 109–16. http://dx.doi.org/10.4064/am40-1-7.

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33

Fauß, Michael, and Abdelhak M. Zoubir. "A Linear Programming Approach to Sequential Hypothesis Testing." Sequential Analysis 34, no. 2 (April 3, 2015): 235–63. http://dx.doi.org/10.1080/07474946.2015.1030981.

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34

Dayanik, Savas, H. Vincent Poor, and Semih O. Sezer. "Sequential multi-hypothesis testing for compound Poisson processes." Stochastics 80, no. 1 (February 2008): 19–50. http://dx.doi.org/10.1080/17442500701594490.

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35

Pal, Anandabrata, Husrev T. Sencar, and Nasir Memon. "Detecting file fragmentation point using sequential hypothesis testing." Digital Investigation 5 (September 2008): S2—S13. http://dx.doi.org/10.1016/j.diin.2008.05.015.

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36

Alsaleh, Mansour, and Paul C. van Oorschot. "Revisiting network scanning detection using sequential hypothesis testing." Security and Communication Networks 5, no. 12 (January 26, 2012): 1337–50. http://dx.doi.org/10.1002/sec.416.

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37

Dorpinghaus, Meik, Meik Dorpinghaus, Izaak Neri, Izaak Neri, Edgar Roldan, Edgar Roldan, Frank Julicher, and Frank Julicher. "Optimal information usage in binary sequential hypothesis testing." Teoriya Veroyatnostei i ee Primeneniya 68, no. 1 (2023): 93–105. http://dx.doi.org/10.4213/tvp5464.

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Представляется интересным вопрос о возможности придания теоретико-информационной интерпретации оптимальным алгоритмам последовательной проверки гипотез. В работе доказывается, что для бинарного последовательного критерия отношения вероятностей, применяемого к непрерывному наблюдаемому процессу, имеет место равенство нулю условной взаимной информации между наблюдаемым процессом до момента принятия решения и фактической гипотезой при условии заданного значения решающей переменной. Этот результат можно интерпретировать как оптимальность использования информации о гипотезе, доступной в наблюдениях с помощью последовательного критерия отношения вероятностей. Как следствие, равна нулю также условная взаимная информация между случайным временем принятия решения последовательного критерия отношения вероятностей и фактической гипотезой при условии заданного значения решающей переменной.
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38

Dörpinghaus, M., I. Neri, É. Roldán, and F. Jülicher. "Optimal Information Usage in Binary Sequential Hypothesis Testing." Theory of Probability & Its Applications 68, no. 1 (May 2023): 77–87. http://dx.doi.org/10.1137/s0040585x97t991295.

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39

Khanduri, Prashant, Dominique Pastor, Vinod Sharma, and Pramod K. Varshney. "Truncated Sequential Non-Parametric Hypothesis Testing Based on Random Distortion Testing." IEEE Transactions on Signal Processing 67, no. 15 (August 1, 2019): 4027–42. http://dx.doi.org/10.1109/tsp.2019.2923140.

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40

Salehkalaibar, Sadaf, and Michèle Wigger. "Distributed Hypothesis Testing over Noisy Broadcast Channels." Information 12, no. 7 (June 29, 2021): 268. http://dx.doi.org/10.3390/info12070268.

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This paper studies binary hypothesis testing with a single sensor that communicates with two decision centers over a memoryless broadcast channel. The main focus lies on the tradeoff between the two type-II error exponents achievable at the two decision centers. In our proposed scheme, we can partially mitigate this tradeoff when the transmitter has a probability larger than 1/2 to distinguish the alternate hypotheses at the decision centers, i.e., the hypotheses under which the decision centers wish to maximize their error exponents. In the cases where these hypotheses cannot be distinguished at the transmitter (because both decision centers have the same alternative hypothesis or because the transmitter’s observations have the same marginal distribution under both hypotheses), our scheme shows an important tradeoff between the two exponents. The results in this paper thus reinforce the previous conclusions drawn for a setup where communication is over a common noiseless link. Compared to such a noiseless scenario, here, however, we observe that even when the transmitter can distinguish the two hypotheses, a small exponent tradeoff can persist, simply because the noise in the channel prevents the transmitter to perfectly describe its guess of the hypothesis to the two decision centers.
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41

Sreekumar, Sreejith, and Deniz Gunduz. "Distributed Hypothesis Testing Over Discrete Memoryless Channels." IEEE Transactions on Information Theory 66, no. 4 (April 2020): 2044–66. http://dx.doi.org/10.1109/tit.2019.2953750.

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42

Escamilla, Pierre, Michele Wigger, and Abdellatif Zaidi. "Distributed Hypothesis Testing: Cooperation and Concurrent Detection." IEEE Transactions on Information Theory 66, no. 12 (December 2020): 7550–64. http://dx.doi.org/10.1109/tit.2020.3019654.

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43

DePalma, Elijah, Daniel R. Jeske, Jesus R. Lara, and Mark Hoddle. "Sequential Hypothesis Testing With Spatially Correlated Presence-Absence Data." Journal of Economic Entomology 105, no. 3 (June 1, 2012): 1077–87. http://dx.doi.org/10.1603/ec11199.

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44

DeMaster, Douglas P., Andrew W. Trites, Phillip Clapham, Sally Mizroch, Paul Wade, Robert J. Small, and Jay Ver Hoef. "The sequential megafaunal collapse hypothesis: Testing with existing data." Progress in Oceanography 68, no. 2-4 (February 2006): 329–42. http://dx.doi.org/10.1016/j.pocean.2006.02.007.

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45

Chandramouli, R., and N. Ranganathan. "A generalized sequential sign detector for binary hypothesis testing." IEEE Signal Processing Letters 5, no. 11 (November 1998): 295–97. http://dx.doi.org/10.1109/97.728473.

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46

Crestani, Fabio, and Shengli Wu. "Testing the cluster hypothesis in distributed information retrieval." Information Processing & Management 42, no. 5 (September 2006): 1137–50. http://dx.doi.org/10.1016/j.ipm.2005.12.002.

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47

Perez-Guijarro, Jordi, Alba Pages-Zamora, and Javier Rodriguez Fonollosa. "Quantum Multiple Hypothesis Testing Based on a Sequential Discarding Scheme." IEEE Access 10 (2022): 13813–26. http://dx.doi.org/10.1109/access.2022.3143706.

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48

Madanat, Samer, and Da-Jie Lin. "Bridge Inspection Decision Making Based on Sequential Hypothesis Testing Methods." Transportation Research Record: Journal of the Transportation Research Board 1697, no. 1 (January 2000): 14–18. http://dx.doi.org/10.3141/1697-03.

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A bridge management system (BMS) is a decision support system used by a highway agency in selecting appropriate maintenance and rehabilitation (M&R) activities and in allocating available resources effectively among facilities. BMS decision making is based on the condition of bridge components, their predicted deterioration, and the cost and effectiveness of M&R activities. Traditionally, bridge condition assessments have relied mainly on human inspectors; their results have generally been qualitative and subjective. More detailed inspections requiring some degree of destruction of the bridge, like drilling the deck to inspect for chloride contamination, have also been used. With recent technological developments, methods have been developed to evaluate the condition of bridge structures in a quantitative and objective manner. Associated with the use of these technologies are questions relating to inspection frequency, sample size, and the integration of data from the various technologies and human inspections. The application of a statistical decision-making method, sequential hypothesis testing, to these questions is presented. The mathematical formulation of the sequential hypothesis testing model, the derivation of optimal inspection policies, and the implementation of these policies in the context of bridge component inspection are discussed. A parametric analysis illustrates the sensitivity of the method to the cost structure of the problem, the precision of the technologies used, and the historical information or expert judgment regarding the condition of bridge components.
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49

Pele, O., and M. Werman. "Robust Real-Time Pattern Matching Using Bayesian Sequential Hypothesis Testing." IEEE Transactions on Pattern Analysis and Machine Intelligence 30, no. 8 (August 2008): 1427–43. http://dx.doi.org/10.1109/tpami.2007.70794.

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50

Madhu, Nilesh, Sebastian Gergen, and Rainer Martin. "A robust sequential hypothesis testing method for brake squeal localisation." Journal of the Acoustical Society of America 146, no. 6 (December 2019): 4898–912. http://dx.doi.org/10.1121/1.5138608.

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