3 citations · 3 across the 5 of their papers we have counts for
7 papers
Why "Redefining Statistical Significance" Will Not Improve Reproducibility and Could Make the Replication Crisis Worse
Harry Crane
A recent proposal to "redefine statistical significance" (Benjamin, et al. Nature Human Behaviour, 2017) claims that false positive rates "would immediately improve" by factors gre…
Relative exchangeability with equivalence relations
Harry Crane, Henry Towsner
We describe an Aldous--Hoover-type characterization of random relational structures that are exchangeable relative to a fixed structure which may have various equivalence relations…
The structure of combinatorial Markov processes
Harry Crane, Henry Towsner
Every exchangeable Feller process taking values in a suitably nice combinatorial state space can be constructed by a system of iterated random Lipschitz functions. In discrete time…
Lipschitz partition processes
Harry Crane
We introduce a family of Markov processes on set partitions with a bounded number of blocks, called Lipschitz partition processes. We construct these processes explicitly by a Pois…
Some algebraic identities for the alpha-permanent
Harry Crane
We show that the permanent of a matrix is a linear combination of determinants of block diagonal matrices which are simple functions of the original matrix. To prove this, we first…
Convergence Rates of Markov Chains on Spaces of Partitions
Harry Crane, Steven P. Lalley
We study the convergence rate to stationarity for a class of exchangeable partition-valued Markov chains called cut-and-paste chains. The law governing the transitions of a cut-and…