[图书][B] Ambit stochastics

OE Barndorff-Nielsen, FE Benth, AED Veraart - 2018 - Springer
Ambit Stochastics has emerged as a new field in probability theory during the last decade.
While there are still many open questions and challenges, we think that the time is right to …

[图书][B] The Kolmogorov-Obukhov Theory of Turbulence: A mathematical theory of turbulence

B Birnir - 2013 - books.google.com
​​​​​​​ Turbulence is a major problem facing modern societies. It makes airline
passengers return to their seats and fasten their seatbelts but it also creates drag on the …

Ambit processes; with applications to turbulence and tumour growth

OE Barndorff-Nielsen, J Schmiegel - Stochastic Analysis and Applications …, 2007 - Springer
The concept of ambit processes is outlined. Such stochastic processes are of interest in
spatio-temporal modelling, and they play a central role in recent studies of velocity fields in …

The Kolmogorov–Obukhov statistical theory of turbulence

B Birnir - Journal of Nonlinear Science, 2013 - Springer
Abstract In 1941 Kolmogorov and Obukhov postulated the existence of a statistical theory of
turbulence, which allows the computation of statistical quantities that can be simulated and …

Ambit processes and stochastic partial differential equations

OE Barndorff-Nielsen, FE Benth… - … mathematical methods for …, 2011 - Springer
Ambit processes are general stochastic processes based on stochastic integrals with
respect to Lévy bases. Due to their flexible structure, they have great potential for providing …

Absolute moments of generalized hyperbolic distributions and approximate scaling of normal inverse Gaussian Lévy processes

OE Barndorff‐Nielsen, R Stelzer - Scandinavian Journal of …, 2005 - Wiley Online Library
Expressions for (absolute) moments of generalized hyperbolic and normal inverse Gaussian
(NIG) laws are given in terms of moments of the corresponding symmetric laws. For the …

Moments of the generalized hyperbolic distribution

DJ Scott, D Würtz, C Dong, TT Tran - Computational statistics, 2011 - Springer
In this paper we demonstrate a recursive method for obtaining the moments of the
generalized hyperbolic distribution. The method is readily programmable for numerical …

On the statistics of elsasser increments in solar wind and magnetohydrodynamic turbulence

JC Palacios, S Bourouaine… - The Astrophysical Journal …, 2022 - iopscience.iop.org
In this Letter we investigate the dependency with scale of the empirical probability
distribution functions (PDF) of Elsasser increments using large sets of WIND data (collected …

Quasi maximum likelihood estimation for strongly mixing state space models and multivariate Lévy-driven CARMA processes

E Schlemm, R Stelzer - 2012 - projecteuclid.org
We consider quasi maximum likelihood (QML) estimation for general non-Gaussian discrete-
time linear state space models and equidistantly observed multivariate Lévy-driven …

A comparative distributional method for public administration illustrated using public budget data

JL Jensen, PB Mortensen… - Journal of Public …, 2019 - academic.oup.com
Many outputs and outcomes of relevance to public administration research are distributed in
a way that escapes simple statistical descriptives. The field of public administration has …