Integral points on symmetric varieties and Satake compatifications [PDF]
, 2008 Let V be an affine symmetric variety defined over Q. We compute the asymptotic distribution of the angular components of the integral points in V. This distribution is described by a family of invariant measures concentrated on the Satake boundary of V ...
Gorodnik, Alexander +2 more
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Weight Distributions of Regular Low-Density Parity-Check Codes over Finite Fields [PDF]
, 2011 The average weight distribution of a regular low-density parity-check (LDPC) code ensemble over a finite field is thoroughly analyzed. In particular, a precise asymptotic approximation of the average weight distribution is derived for the small-weight ...
Chen, Yan +4 more
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The number of distinct adjacent pairs in geometrically distributed words: a probabilistic and combinatorial analysis [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 The analysis of strings of $n$ random variables with geometric distribution has recently attracted renewed interest: Archibald et al. consider the number of distinct adjacent pairs in geometrically distributed words.
Guy Louchard +2 more
doaj +1 more source
Limit Laws in Transaction-Level Asset Price Models [PDF]
, 2013 We consider pure-jump transaction-level models for asset prices in continuous time, driven by point processes. In a bivariate model that admits cointegration, we allow for time deformations to account for such effects as intraday seasonal patterns in ...
Alexander Aue +11 more
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Characterization of the asymptotic distribution of semiparametric M-estimators [PDF]
, 2010 This paper develops a concrete formula for the asymptotic distribution of two-step, possibly non-smooth semiparametric M-estimators under general misspecification.
Ichimura, H, Lee, S
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Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions
Mathematics, 2023 The class of natural exponential families (NEFs) of distributions having power variance functions (NEF-PVFs) is huge (uncountable), with enormous applications in various fields.
Shaul K. Bar-Lev +4 more
doaj +1 more source
Asymptotic results on the length of coalescent trees [PDF]
, 2007 We give the asymptotic distribution of the length of partial coalescent trees for Beta and related coalescents. This allows us to give the asymptotic distribution of the number of (neutral) mutations in the partial tree. This is a first step to study the
Delmas, Jean-François +2 more
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Maximum likelihood estimation in the non-ergodic fractional Vasicek model
Modern Stochastics: Theory and Applications, 2019 We investigate the fractional Vasicek model described by the stochastic differential equation $d{X_{t}}=(\alpha -\beta {X_{t}})\hspace{0.1667em}dt+\gamma \hspace{0.1667em}d{B_{t}^{H}}$, ${X_{0}}={x_{0}}$, driven by the fractional Brownian motion ${B^{H}}$
Stanislav Lohvinenko +1 more
doaj +1 more source
, 2003 Using a set of evolution equations [J.G. Amar {\it et al}, Phys. Rev. Lett. {\bf 86}, 3092 (2001)] for the average gap-size between islands, we calculate analytically the asymptotic scaled capture-number distribution (CND) for one-dimensional ...
A.D. Gates +29 more
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Asymptotic fitness distribution in the Bak-Sneppen model of biological evolution with four species
, 2012 We suggest a new method to compute the asymptotic fitness distribution in the Bak-Sneppen model of biological evolution. As applications we derive the full asymptotic distribution in the four-species model, and give an explicit linear recurrence relation
Schlemm, Eckhard
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