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Local asymptotic normality for qubit states [PDF]
Physical Review A, 2005 We consider n identically prepared qubits and study the asymptotic properties of the joint state \rho^{\otimes n}. We show that for all individual states \rho situated in a local neighborhood of size 1/\sqrt{n} of a fixed state \rho^0, the joint state ...
A. S. Holevo +12 more
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Local asymptotic normality in {\delta}-neighborhoods of standard generalized Pareto processes [PDF]
Journal of Statistical Planning and Inference, 2011 De Haan and Pereira (2006) provided models for spatial extremes in the case of stationarity, which depend on just one parameter {\beta} > 0 measuring tail dependence, and they proposed different estimators for this parameter.
Aulbach, Stefan, Falk, Michael
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Empirical Lossless Compression Bound of a Data Sequence [PDF]
EntropyWe consider the lossless compression bound of any individual data sequence. Conceptually, its Kolmogorov complexity is such a bound yet uncomputable. According to Shannon’s source coding theorem, the average compression bound is nH, where n is the number
Lei M. Li
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Local Asymptotic Normality and Efficient Estimation for inar (P) Models [PDF]
SSRN Electronic Journal, 2006 Integer-valued autoregressive (INAR) processes have been introduced to model nonnegative integervalued phenomena that evolve in time.The distribution of an INAR(p) process is determined by two parameters: a vector of survival probabilities and a ...
Akker, R. van den +2 more
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Local asymptotic normality of statistical models of discrete martingales
Lietuvos Matematikos Rinkinys, 2023 We establish general conditions assuring the local asymptotic normality of statistical experiments of discrete or purely discontinuous local martingales obtained models of point processes of all types were found out.
Vaidotas Kanišauskas
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Local Asymptotic Normality Complexity Arising in a Parametric Statistical Lévy Model
Complexity, 2021 We consider statistical experiments associated with a Lévy process X=Xtt≥0 observed along a deterministic scheme iun, 1≤i≤n. We assume that under a probability ℙθ, the r.v.
Wissem Jedidi
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A note on limits of sequences of binary trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 We discuss a notion of convergence for binary trees that is based on subtree sizes. In analogy to recent developments in the theory of graphs, posets and permutations we investigate some general aspects of the topology, such as a characterization of the ...
Rudolf Grübel
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Local Asymptotic Normality in Quantum Statistics [PDF]
Communications in Mathematical Physics, 2007 41 pages, to appear in Commun.
Guţă, Mădălin, Jenčová, Anna
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Scalable Monte Carlo inference and rescaled local asymptotic normality [PDF]
Bernoulli, 2021 In this paper, we generalize the property of local asymptotic normality (LAN) to an enlarged neighborhood, under the name of rescaled local asymptotic normality (RLAN). We obtain sufficient conditions for a regular parametric model to satisfy RLAN. We show that RLAN supports the construction of a statistically efficient estimator which maximizes a ...
Ning, Ning +2 more
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Generalized Partially Functional Linear Model with Unknown Link Function
Axioms, 2023 In existing models with an unknown link function, the issue of predictors containing both multiple functional data and multiple scalar data has not been studied. To fill this gap, we propose a generalized partially functional linear model, which not only
Weiwei Xiao, Songxuan Li, Haiyan Liu
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