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math.ST2026
The Dual-Population Benchmark Model
Alexander Gnedin
Motivated by Fisher's and Hill's \cite{Fisher,Hill} ideas of ranking and pivotal quantities, we introduce a planar Poisson process (PPP) model in which the negative component \(Π_-…
math.ST2026
Exchangeable Testing Against an Unknown Benchmark
Alexander Gnedin
We generate infinite binary exchangeable sequences by sequential comparison of data points against a latent benchmark. Assuming a prior distribution of the benchmark rank \(R_0\) w…