Detecting random sets by samplings from their values

2021/04/26 by Zvi Artstein, Artstein, Zvi, Alon Shapira +1
Decision Sciences · Mathematics · #28B20 #52A22 (Secondary) #60D05 (Primary) 62D99 #62E99 #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #FOS: Mathematics #Fuzzy Systems and Optimization #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2104.12373

openalex publication_date 2021/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine the extent to which random samplings from the values of a random set, determine the distribution of the random set itself. We also comment on how, given the statistics of the sampling, to detect the distribution. Several methods are displayed, leading to positive results, counter-examples, and open problems.

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