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Open Access 2011 | OriginalPaper | Chapter
Problems Relating to the Existence of Maximal and Minimal Elements in Some Families of Statistics (Subfields)
In statistical theory one comes across various families of statistics (subfields). For each such family, it is of some interest to ask oneself as to whether the family has maximal and/or minimal elements. The author proves here the existence of such elements in a number of cases and leaves the question unsolved in a number of other cases. A number of problems of an allied nature are also discussed.