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Distributed Hypothesis Testing over Noisy Broadcast Channels
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 ...
Sadaf Salehkalaibar, Michèle Wigger
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Unbiased Fuzzy Estimators in Fuzzy Hypothesis Testing
In this paper, we develop fuzzy, possibilistic hypothesis tests for testing crisp hypotheses for a distribution parameter from crisp data. In these tests, fuzzy statistics are used, which are produced by the possibility distribution of the estimated ...
Nikos Mylonas, Basil Papadopoulos
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Distributed Hypothesis Testing with Privacy Constraints
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.
Atefeh Gilani+3 more
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Worst-case Quantum Hypothesis Testing with Separable Measurements [PDF]
For any pair of quantum states (the hypotheses), the task of binary quantum hypotheses testing is to derive the tradeoff relation between the probability $p_{01}$ of rejecting the null hypothesis and $p_{10}$ of accepting the alternative hypothesis.
Le Phuc Thinh+2 more
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Quantum hypothesis testing via robust quantum control
Quantum hypothesis testing plays a pivotal role in quantum technologies, making decisions or drawing conclusions about quantum systems based on observed data.
Han Xu+3 more
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Statistical Limits for Testing Correlation of Hypergraphs [PDF]
In this paper, we consider the hypothesis testing of correlation between two $m$-uniform hypergraphs on $n$ unlabelled nodes. Under the null hypothesis, the hypergraphs are independent, while under the alternative hypothesis, the hyperdges have the same marginal distributions as in the null hypothesis but are correlated after some unknown node ...
arxiv
P-value: A Bless or A Curse for Evidence-Based Studies? [PDF]
As a convention, p-value is often computed in frequentist hypothesis testing and compared with the nominal significance level of 0.05 to determine whether or not to reject the null hypothesis. The smaller the p-value, the more significant the statistical test. We consider both one-sided and two-sided hypotheses in the composite hypothesis setting.
arxiv +1 more source
Optimal Hypothesis Testing Based on Information Theory [PDF]
There has a major problem in the current theory of hypothesis testing in which no unified indicator to evaluate the goodness of various test methods since the cost function or utility function usually relies on the specific application scenario, resulting in no optimal hypothesis testing method.
arxiv
Hypothesis testing in Bayesian network meta-analysis
Background Network meta-analysis is an extension of the classical pairwise meta-analysis and allows to compare multiple interventions based on both head-to-head comparisons within trials and indirect comparisons across trials.
Lorenz Uhlmann+2 more
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Hypothesis Testing Based Side-Channel Collision Analysis
Side-channel collision analysis has become a research hotspot since its first publication in 2003. Compared with differential power analysis (DPA) and correlation power analysis (CPA), collision analysis does not need to know the intermediate value and ...
Dong Zheng, Xiang Jia, Meiling Zhang
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