Open Research Index

Linked-pair panels: panel laws are determined by finitely many Laplace values

X. Lee, N. Volkov

Palomar Registrypalomar/PALOMAR-2026-10-29-000021Oct 29, 2026math.STscore 0

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,…

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