Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
IV. References
P. Billingsley, Convergence of types in k-spaces, Z. Wahrscheinlichkeitstheorie verw. Geb. 5 (1966), pp.175–179.
M.G. Hahn, The generalized domain of attraction of a Gaussian law on Hilbert spaces, Lecture Notes in Math. 709 (1979), pp.125–144.
—, and M.J. Klass, Matrix normalization of sums of random vectors in the domain of attraction of the multivariate normal, Ann. of Probability 8 (1980), pp.262–280.
—, —, The generalized domain of attraction of spherically symmetric stable laws on ℝd. To appear in Proc.Conf.Probability on Vector Spaces, Poland, Lecture Notes in Math. (1980).
W.N. Hudson, Operator-stable distributions and stable marginals, J.Multivar. Anal. 10 (1980), pp.26–37.
— and J. David Mason, Operator-stable laws, 1980, preprint.
Z.J. Jurek, Remarks on operator-stable probability measures, Coment. Mathematicae XXI (1979), pp.71–74.
—, On stability of probability measures in Euclidean spaces. To appear in Proc. Conf. Probability on Vector spaces, Poland, Lectures notes in Math. (1980).
W. Krakowiak, Operator-stable probability measures on Banach spaces, Colloq. Math. (to appear).
A. Luczak, Operator-semistable probability measures on RN, Thesis, Lodz University (1977), (preprint in Polish).
B. Mincer and K. Urbanik, Completely stable measures on Hilbert spaces, Colloq. Math. XLII (1979), pp.
K.R. Parthasarathy and K. Schmidt, Stable positive definite functions, Trans. Amer. Math. Soc. 203 (1975), pp.161–174.
S. Resnick and P. Greenwood, A bivariate stable characterization and domains of attraction, J. Multivar. Anal. 9 (1979), pp.206–221.
G.N. Sakovic, Ukrain. Matem. Zurnal XIII (1961), (in Russian).
M. Sharpe, Operator-stable probability measures on vector groups, Trans. Amer. Math. Soc. 136 (1969), pp.51–65.
K. Urbanik, Lévy's probability measures on Euclidean spaces, Studia Math. XLIV (1972), pp.119–148.
—, Lévy's probability measures on Banach spaces, Studia Math. LXIII (1978), pp.283–308.
S.J. Wolfe, A characterization of Lévy's probability distribution functions on Euclidean spaces, J. Multivar. Anal. 10 (1980), pp.379–384.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Jurek, Z.J. (1981). Convergence of types, selfdecomposability and stability of measures on linear spaces. In: Beck, A. (eds) Probability in Banach Spaces III. Lecture Notes in Mathematics, vol 860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090620
Download citation
DOI: https://doi.org/10.1007/BFb0090620
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10822-1
Online ISBN: 978-3-540-38710-7
eBook Packages: Springer Book Archive