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Sequential Bayesian Work Sampling
A I I E Transactions, 1974Abstract A principal purpose of work sampling is to determine the percentage of time a specified activity is occurring within a predetermined tolerance at a specified statistical risk. Traditional practices are based on a large number of observations taken at random times.
James R. Buck, Jose M. A. Tanchoco
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Journal of the Staple Inn Actuarial Society, 1970
Most statistical techniques are based on a sample of fixed sizen. This may be becausenis chosen beforehand or because it is dictated by the circumstances. Sometimes, however, the members of the sample occur one after the other and we can then use sequential methods.A sequential sampling scheme gives us a ‘stopping rule’ for deciding, after observing ...
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Most statistical techniques are based on a sample of fixed sizen. This may be becausenis chosen beforehand or because it is dictated by the circumstances. Sometimes, however, the members of the sample occur one after the other and we can then use sequential methods.A sequential sampling scheme gives us a ‘stopping rule’ for deciding, after observing ...
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Bayesian sequential sparse sampling
The Journal of the Acoustical Society of America, 2013We consider the sequential reconstruction of source waveforms under a sparsity constraint from a Bayesian perspective. We assume that the wave field that is observed by a sensor array is from a spatially sparse source distribution. A spatially weighted Laplace-like prior is assumed for the source distribution and the corresponding weighted LASSO cost ...
Peter Gerstoft, Christoph Mecklenbrauker
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Sequential Bernoulli Sampling Plans Re-Examined
Calcutta Statistical Association Bulletin, 1984Connections between the so called efficient and inefficient Bernoulli sampling plans are explored, via the concept of sufficiency of statistical experiments. From this point of view, many inefficient plans turn out to be quite useful. We also take up the problem of comparison of two arbitrary plans and provide a variety of results. The paper ends with
Bose, Arup, Sinha, Bikas Kumar
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Ordering of Sequentially Sampled Exponential Experiments
Scandinavian Journal of Statistics, 1998Let X1, X2, ... be a sequence of i.i.d. random variables, Xi∼Fθ, θ∈Θ. Let N1 and N2 be two stopping rules. For a class of exponential families {Fθ: θ∈Θ} we show that the experiment Y1 = (X1, ..., XN1) carries more statistical information than Y2 = (X1, ..., xN2) only if N1 is stochastically larger then ...
Greenshtein, Eitan, Torgersen, Erik
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Large-sample theory of sequential estimation
Biometrika, 1949In a previous large-sample treatment of sequential estimation (1), it was shown that in certain circumstances, when there was only one unknown parameter in the distribution of the observations, an estimation formula valid for fixed sample sizes remained valid when the sample size was determined by a sequential stopping rule. The proof was heuristic, in
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On Bayesian group sequential sampling procedures
Annals of Operations Research, 1991In group sequential sampling the experimenter is allowed at each sampling stage to choose any number of new observations up to a maximum of \(m\) (positive fixed integer). The total number of observations in the experiment may or may not be required to be bounded. In the paper under review the observations \(X_ 1,X_ 2,\dots\) are i.i.d.
Rieder, U., Wentges, Paul
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SEQUENTIAL PARTITION DETECTORS WITH DEPENDENT SAMPLING
Journal of Cybernetics, 1980In this paper, the theory of sequential partition detectors with dependent sampling is introduced. A new formulation is given which predicts the thresholds under q-dependent sampling in order to maintain the same error probabilities as in the independent sampling case.
Dwyer, Roger F., Kurz, Ludwik
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Technometrics, 1972
Abstract : The paper investigates the problem of choosing between two simple hypothesis, H sub o and H sub l, in terms of independent, identically distributed random variables, when observations can be taken in groups. At any stage in the decision procedure it must be decided whether to stop or take action now or to continue, in which case the size of ...
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Abstract : The paper investigates the problem of choosing between two simple hypothesis, H sub o and H sub l, in terms of independent, identically distributed random variables, when observations can be taken in groups. At any stage in the decision procedure it must be decided whether to stop or take action now or to continue, in which case the size of ...
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SEQUENTIAL WORK SAMPLING TESTS
International Journal of Production Research, 1967SUMMARY In this paper a test method for time study developed from a theoretical basis of sequential analysis of mathematical statistics is presented. This method admits a statistical decision on the regions which contain a certain time ratio. In the course of the test process, the instantaneous observations of the activities made at the work places are
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