Linear sample spaces and stable processes

DOI10.1016/0022-1236(72)90020-1zbMath0232.60023OpenAlexW2029924109MaRDI QIDQ2550946

Marek Kanter

Publication date: 1972

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(72)90020-1

Mathematics Subject Classification ID

General theory of stochastic processes (60G07)

Related Items (23)

Gaussian measures on Orlicz spaces and abstract Wiener spaces ⋮ Left and right linear innovations for a multivariate \(\text{S} \alpha \text{S}\) random variable ⋮ Innovations and Wold decompositions of stable sequences ⋮ Small perturbations of Gaussian regressors ⋮ Unnamed Item ⋮ Gaussian measures on linear spaces ⋮ Properties of spectral covariance for linear processes with infinite variance ⋮ Estimation by Stable Motions and its Applications ⋮ A representation theorem for symmetric stable processes and stable measures on H ⋮ An ergodic measure on a locally convex topological vector space ⋮ Unnamed Item ⋮ On discrete-time stable multiple Markov processes ⋮ Conditional moments and linear regression for stable random variables ⋮ Lois e(?) dans les espaces vectoriels et lois stables ⋮ A testable version of the Pareto-Stable CAPM ⋮ Some results of probability measures on linear topological vector spaces with an application to Strassen's log log law ⋮ On stable Markov processes ⋮ Properties of certain symmetric stable distributions ⋮ Measures on topological spaces ⋮ Unnamed Item ⋮ On the linearity of regression ⋮ On the approximation of measurable linear functionals ⋮ Does asymptotic linearity of the regression extend to stable domains of attraction?

Cites Work

• Additive functionals on a space of continuous functions. II
• Some Structure Theorems for the Symmetric Stable Laws
• On the functional equation f(x+y) =f(x) +f(y)
• Additive Functionals on a Space of Continuous Functions. I
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