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The nonlinear Schr¨odinger (NLS) equation is a ubiquitous example of an envelope wave equation for conservative, dispersive systems. We revisit here the problem of self-similar focusing of waves in th...
We propose a methodology to analyze data arising from a curve that, over its domain, switches among J states. We consider a sequence of response variables, where each response y depends on a covariate...
The concept of refinement from probability elicitation is considered for proper scoring rules. Taking directions from the axioms of probability, refinement is further clarified using a Hilbert space i...
Aulbach et al. (2012) introduced some mathematical framework for extreme value theory in the space of continuous functions on compact intervals. Continuous max-stable processes on [0,1] were character...
The statistical mechanics of Gibbs is a juxtaposition of subjective, probabilistic ideas on the one hand and objective, mechanical ideas on the other. From the mechanics point of view, the term ‘stat...
The authors provide an authoritative lecture guide of Theory of Probability, where they clearly state that the more useful material today is that con- tained in Chapters 3 and 5, which respectively...
I have always felt very guilty about Harold Jef- freys’s Theory of Probability (referred to as ToP, hereafter). I take seriously George Barnard’s injunc- tion (Barnard, 1996) to have some familiari...
The authors are to be congratulated for their deep appreciation of Jeffreys’s famous book, Theory of Probability, and their very impressive, knowledge- able consideration of its contents, chapter b...
I was taught by Harold Jeffreys, having attended his postgraduate lectures at Cambridge in the aca- demic year 1946–1947, and also knew him when I joined the Faculty there. I thought I appreciated ...
The thesis of this paper is that a good basis for defining Poisson processes on a general state space is to assume that the mean measure satisfies a simple bisection property, that every set of fini...
Consistency and Identifiability Revisited
The Law of Categorical Judgment Revisited
We give a new relatively compact proof of the famous identity for the distribution of the first hitting time of a linear boundary by a skip-free process with stationary independent increments. The pro...
In this note we present a simplified proof of the zero-one law by Merkl and Zerner (2001) for directional transience of random walks in i.i.d. random environments (RWRE) on the square lattice. Also, w...
We revisit the work of Bourgain et al. (1992) -- referred to as ``BKKKL'' in the title -- about influences on Boolean functions in order to give a precise statement of threshold phenomenon on the prod...

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