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Scaling limit of a discrete prion dynamics model, in "Comm
 Math. Sci
"... Abstract This paper investigates the connection between discrete and continuous models describing prion proliferation. The scaling parameters are interpreted on biological grounds and we establish rigorous convergence statements. We also discuss, based on the asymptotic analysis, relevant boundary c ..."
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Abstract This paper investigates the connection between discrete and continuous models describing prion proliferation. The scaling parameters are interpreted on biological grounds and we establish rigorous convergence statements. We also discuss, based on the asymptotic analysis, relevant boundary conditions that can be used to complete the continuous model.
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"... Measure and integral E. Kowalski (with some minor additions of J. Teichmann for spring term 2012) ..."
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Measure and integral E. Kowalski (with some minor additions of J. Teichmann for spring term 2012)
Submitted APPROXIMATION OF IMPROPER PRIOR BY VAGUE
"... Abstract. We propose a convergence mode for prior distributions which allows a sequence of probability measures to have an improper limiting measure. We define a sequence of vague priors as a sequence of probability measures that converges to a noninformative prior. We consider some cases where vag ..."
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Abstract. We propose a convergence mode for prior distributions which allows a sequence of probability measures to have an improper limiting measure. We define a sequence of vague priors as a sequence of probability measures that converges to a noninformative prior. We consider some cases where vague priors have necessarily large variances and other cases where they have not. We give some constructions of vague priors that approximate the Haar measures or the Jeffreys priors. Then, we study the consequences of the convergence of prior distributions on the posterior analysis. We also revisit the JeffreysLindley paradox.