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Average Sample Number Function for Pareto Heavy Tailed Distributions [PDF]
ISRN Applied Mathematics, 2013 The main purpose of this work is shortly to give the average sample number function after a sequential probability ratio test on the index parameter alpha of stable densities, which we give a mean of the number of data required to take decision in the case , we use the fact that the tails of Levy-stable distributions are asymptotically equivalent to a ...
Boukhalfa El-hafsi
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Optimal Designing of Variables Chain Sampling Plan by Minimizing the Average Sample Number [PDF]
International Journal of Manufacturing Engineering, 2013 We investigate the optimal designing of chain sampling plan for the application of normally distributed quality characteristics. The chain sampling plan is one of the conditional sampling procedures and this plan under variables inspection will be useful when testing is costly and destructive.
S. Balamurali, M. Usha
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A Lower Bound for the Average Sample Number of a Sequential Test [PDF]
The Annals of Mathematical Statistics, 1953 A lower bound is derived for the expected number of observations required by an arbitrary sequential test which satisfies conventional conditions regarding the probabilities of erroneous decisions.
W. Hoeffding
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Lower Bounds for Average Sample Number of Sequential Multihypothesis Tests
The Annals of Mathematical Statistics, 1967 Sections 1-5 are concerned with finding lower bounds for the expected sample sizes of sequential multihypothesis tests in the presence of a constraining error matrix. We consider $K$ simple hypotheses corresponding to $K$ density functions $f_i, i = 1, \cdots, K,$ and fix all of the entries of the $K \times K$ error matrix $A = (\alpha_{ij})$, where ...
G. Simons
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ON A WALD'S EQUATION AND AVERAGE SAMPLE NUMBER IN A SEQUENTIAL SIGNAL DETECTION [PDF]
Bulletin of Mathematical Statistics, 1972 It is shown that in detecting sequentially a deterministic signal 0(0 in white noise 72(0 a similar identity (iii) in theorem 2.1, to the Wald's holds concerning a stopping time r determined by making use of a likelihood ratio. It is also shown that r has finite moments of any order under quite weak conditions over the signal. The exact A. S. N.
T. Nagai
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Optimal average sample number of the SPRT chart for monitoring fraction nonconforming
European Journal of Operational Research, 2013 Abstract The Sequential Probability Ratio Test (SPRT) control chart is a powerful tool for monitoring manufacturing processes. It is highly suitable for the applications where testing is destructive or very expensive, such as the automobile airbags test.
Salah Haridy +3 more
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Implications of sample size and acquired number of steps to investigate running biomechanics
Scientific Reports, 2021 Low reproducibility and non-optimal sample sizes are current concerns in scientific research, especially within human movement studies. Therefore, this study aimed to examine the implications of different sample sizes and number of steps on data ...
Anderson Souza Oliveira +1 more
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Error Probabilities and Average Sample Number of the Sequential Probability Ratio Test
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1975 Summary Let x 1, x 2, ... be independent random variables which under p θ have probability density function of the form exp (θx – Ψ(θ)} relative to some measure v, where Ψ is normalized so that Ψ(0) = Ψ‘(0) = 0. Let a ≤ 0 < b, sn = ∑1 n x k, and T=inf{n:sn∉(a,b)}. Approximations are given for p θ{sT ≥; b} and E θ(T) based
D. Siegmund
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Average Number of Nucleotide Differences in a Sample From a Single Subpopulation: A Test for Population Subdivision [PDF]
Genetics, 1987 ABSTRACT Unbiased estimates of θ = 4Nµ in a random mating population can be based on either the number of alleles or the average number of nucleotide differences in a sample. However, if there is population structure and the sample is drawn from a single subpopulation, these two estimates of θ behave differently.
Curtis Strobeck
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Journal of the Royal Statistical Society Series B: Statistical Methodology, 1958 Summary Expressions and curves are given from which it is possible to calculate the operating characteristic and average sample number of a number of sequential sampling schemes to a close degree of approximation.
K. Kemp
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