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On large deviations in testing simple hypotheses for locally stationary Gaussian processes
Hypothesis testing Likelihood ratio Large deviations Locally stationary Gaussian processes Hoeffding bound Stein’s lemma Chernoff bound
2015/8/25
We derive a large deviation result for the log-likelihood ratio for testing simple hypotheses in locally stationary Gaussian processes. This result allows us to find explicitly the rates of exponentia...
AN ASYMPTOTIC ERROR BOUND FOR TESTING MULTIPLE QUANTUM HYPOTHESES
ASYMPTOTIC ERROR BOUND TESTING MULTIPLE QUANTUM HYPOTHESES
2015/8/25
We consider the problem of detecting the true quantum state among r possible ones, based of measurements performed on n copies of a finitedimensional quantum system. A special case is the problem of d...
Multiple Objects: Error Exponents in Hypotheses Testing and Identification
Multiple hypotheses testing LAO tests Many independent objects Dependent objects Multiobject model
2012/4/16
We servey a series of investigations of optimal testing of multiple hypotheses conserning various multiobject models. These studies are a bright instance of application of methods and technics develop...
Multistage tests of multiple hypotheses
Closed testing Family-wise error rate Multiple hypothesis testing Multistage testing Sequential analysis
2011/9/30
Abstract: Conventional multiple hypothesis tests use step-up, step-down, or closed testing methods to control the overall error rates. We will discuss marrying these methods with adaptive multistage s...
The most powerful tests for fuzzy hypotheses testing with vague data
Fuzzy random variable fuzzy hypothesis
2010/9/14
In hypotheses testing, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which both hypotheses and observations are imprecise. In this paper, we redefi...
Sequential probability ratio tests for fuzzy hypotheses testing
Fuzzy hypothesis critical region
2010/9/14
In hypotheses testing, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which hypotheses are imprecise. In this paper, we redefine some concepts about...
On the Interpretation of Ocean Current Spectra, Part II：Testing Dynamical Hypotheses
Ocean Current Spectra Dynamical Hypotheses
2009/2/23
Three examples are chosen to illustrate how the several spectrum representations in Part 1 can be used to test whether a proposed dynamical mechanism is supported by a given set of observations. The e...
Testing hypotheses of the cause of peripheral thinning of the Greenland Ice Sheet:is land-terminating ice thinning at anomalously high rates?
hypotheses peripheral thinning Greenland Ice Sheet high rates
2010/2/4
Recent observations have shown that the periphery of the Greenland ice sheet (GrIS) is thinning rapidly and that this thinning is greatest around marine-terminating outlet glaciers. Several theories h...