{"id":"palomar/PALOMAR-2026-10-29-000021","url":"https://github.com/cenozoic-works/rhone-theory/tree/babec8449a724c270450c7c0e2cd3985ccc2a989","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-29-000021-v1.json","repo":"https://github.com/cenozoic-works/rhone-theory","tags":["math.ST","q-bio.PE","msc:62F03","msc:62B15","msc:44A10","msc:92D10"],"score":0,"title":"Linked-pair panels: panel laws are determined by finitely many Laplace values","trust":"high","domain":"math.ST","source":"palomar","authors":["X. Lee","N. Volkov"],"reviews":0,"subject":"math.ST","summary":"This entry formalizes panels of linked site pairs observed through a reporting channel, with the pair coalescence time T following a probability law on the non-negative reals. All L sites of a panel share the same time T; given T = t, the sites are reported independently, and at each site the two lineages share one latent type with weight e^(−kt) and have independent types otherwise, each type being reported through a channel that maps K latent types to probability distributions on a finite set of labels. For an informative channel (one whose rows are not all equal) and a panel of length L,…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-29","reactions":{},"formalized":true}