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Autor:
K Strassburger, H Finner
Publikováno v:
Journal of the American Statistical Association. 101:737-746
In recent work we introduced a general, a weak, and a strong partitioning principles for the construction of multiple decision procedures as multiple testing or selection procedures. Partitioning principles can be viewed as natural extensions of the
The generalized Poisson distribution is well known to be a compound Poisson distribution with Borel summands. As a generalization we present closed formulas for compound Bartlett and Delaporte distributions with Borel summands and a recursive structu
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::624cd723cb20cbe91e560cff57ee3dd1
Publikováno v:
Scandinavian Journal of Statistics. 27:563-573
In this paper we investigate the asymptotic critical value behaviour of certain multiple decision procedures as e.g. simultaneous confidence intervals and simultaneous as well as stepwise multiple test procedures. Supposing that n hypotheses or param
Asymptotic comparison of the critical values of step-down and step-up multiple comparison procedures
Publikováno v:
Journal of Statistical Planning and Inference. 79:11-30
We consider the problem of comparing step-down and step-up multiple test procedures for testing n hypotheses when independent p -values or independent test statistics are available. The defining critical values of these procedures for independent tes
Publikováno v:
Journal of Statistical Planning and Inference. 54:201-227
Selection problems are considered for which it is possible to formulate a correct selection via a so-called correct selection indicator. The correct selection indicator can be used to define a related multiple hypotheses testing problem. It is shown
Publikováno v:
Annals of the Institute of Statistical Mathematics. 46:343-349
Fork ∈ ℕ0 fixed we consider the joint distribution functionF k of then-k smallest order statistics ofn real-valued independent, identically distributed random variables with arbitrary cumulative distribution functionF. The main result of the pape
Publikováno v:
Journal of Statistical Planning and Inference. 38:179-199
The problem of selecting a subset containing all good treatments is considered. It is shown that under mild conditions the class of procedures deciding correctly with at least a prespecified probability P * is equivalent in some sense to the class of
Autor:
H. Finner
Publikováno v:
Journal of the American Statistical Association. 88:920-923
We consider a monotonicity problem concerning the critical values in stepwise multiple test procedures for comparing k parameters. This problem will be solved for a large class of distributional settings by means of an inequality for cumulative distr
Publikováno v:
Communications in Statistics - Theory and Methods. 22:2381-2396
This paper presents a collection of log-concavity results of one-dimensional cumulative distribution functions (cdf's) F(x,ϑ) and the related functions . in both x∈R or x∈Z and θ ∈ Θ. where R denotes the real line and Z the set of integers.