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We derive an exact and efficient Bayesian regression algorithm for piece- wise constant functions of unknown segment number, boundary locations, and lev- els. The derivation works for any noise and ...
Let D be a nonempty open bounded subset of d 2 2, and let 0 < a c 2. For a-harmonic functions on D vanishing outside D an analogue of the Martin representation for harmonic functions is derived.
We obtain the characteristic functions of distributions in LC,., i.e. a-times c-decomposable distributions in the class of infinitely divisible distributions, where 0 < a < m, 0 < c < 1. The charac...
In this paper we obtain convergence rates for sieved maximum-likelihood &timators of the log-hazard function in a censoring model. We also establish convergence results for an adaptive version of t...
In this paper, we present a more direct way to compute the SzeggJacobi parameters from a generating function than that in [S] and [6]. Our study is motivated by the notions of one-mode interacting ...
It is shown that the hyperbolic functions can be associated with selfdecomposable distributions (in short; SR probability distributions or E v y class L of probability laws). Consequently, they adm...
The purpose of the paper is to provide precise estimates for the Green function corresponding to the operator7(l- AP2, 0 < < 2. The potential theory of this operator is based on Bessel potentials J...
Probability Density Functions of the Empirical Wavelet Coefficients of a Wavelet Estimator of Multidimensional Poisson Intensities。
Some unbounded functions of intermittent maps for which the central limit theorem holds.
We show that the multiplication operator associated to a fractional power of a Gamma random variable, with parameter q > 0, maps the convex cone of the 1-invariant functions for a self-similar semigro...
In this paper we derive tight bounds on the expected value of products of low influence functions defined on correlated probability spaces. The proofs are based on extending Fourier theory to an arbit...
This note is concerned with the differentiation of heat semigroups on Riemannian manifolds. In particular, the relation $dP_tf=P_tdf$ is investigated for the semigroup generated by the Laplacian with ...
In this paper we obtain sharp bounds for the Green function and jumping function of a subordinate killed Brownian motion in a bounded $C^{1,1}$ domain, where the subordinating process is a subordinato...
We show a method and the structure to calculate the characteristic functions of quadratic Wiener functionals by using classical Weierstrass-Hadamard's theory on entire functions. We also examine the i...
This chapter defines a new concept and framework for constructing fusion rules for evidences. This framework is based on a referee function, which does a decisional arbitrament conditionally to basi...

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