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Working Paper
Properties of the vacancy statistic in the discrete circle covering problem
Holst (1985) introduced a discrete spacings model that is related to the Bose-Einstein distribution and obtained the distribution of the number of vacant slots in an associated circle covering problem. We correct his expression for its probability mass function, obtain the first two moments, and describe their limiting properties. We also discuss an application of our results to a study of contagion in banking networks.
Working Paper
Identification of search models with initial condition problems
This paper extends previous work on the identification of search models in which observed worker productivity is imperfectly observed. In particular, it establishes that these models remain identified even when employment histories are left-censored (i.e. we do not get to follow workers from their initial job out of unemployment), as well as when workers set different reservation wages from one another. We further show that allowing for heterogeneity in reservation can affect the empirical estimates we obtain, specifically estimates of the rate at which workers receive job offers.
Working Paper
Characterizations in a random record model with a non-identically distributed initial record
We consider a sequence of random length M of independent absolutely continuous observations Xi, 1 = i = M, where M is geometric, X1 has cdf G, and Xi, i = 2, have cdf F. Let N be the number of upper records and Rn, n = 1, be the nth record value. We show that N is free of F if and only if G(x) = G0(F (x)) for some cdf G0 and that if E (|X2|) is finite so is E |Rn|) for n = 2 whenever N = n or N = n. We prove that the distribution of N along with appropriately chosen subsequences of E(Rn) characterize F and G, and along with subsequences of E Rn - Rn-1) characterize F and G up to a common ...