Testing exchangeability: Fork-convexity, supermartingales and e-processes

Suppose we observe an infinite series of coin flips X1,X2,…, and wish to sequentially test the null that these binary random variables are exchangeable. Nonnegative supermartingales (NSMs) are a workhorse of sequential inference, but we prove that they are powerless for this problem. First, utilizin...

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Vydané v:	International journal of approximate reasoning Ročník 141; s. 83 - 109
Hlavní autori:	Ramdas, Aaditya, Ruf, Johannes, Larsson, Martin, Koolen, Wouter M.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.02.2022
Predmet:	Anytime-valid sequential inference Composite Snell envelope Game-theoretic probability Method of mixtures Optional stopping Universal coding Universal coding Composite Snell envelope Anytime-valid sequential inference Method of mixtures Optional stopping Game-theoretic probability
ISSN:	0888-613X, 1873-4731
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