This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
X. Fernique, Intégrabité des vecteurs Gaussiens, C. R. Acad. Sci. Paris, t.270, (1970), pp. 1698–1699.
J. Kuelbs, The invariance principle for Banach space valued random variables, J. Mult. Anal., 3, (1973), 161–172.
K.R. Parthasarathy, Probability measures on metric spaces, Academic Press, New York 1967.
Yu.V. Prokhorov, Convergence of random processes and limit theorems in probability theory, Theor. Prob. Appl., Vol. 1, (1956), 157–214.
J. Rosiński, Limit theorems for randomly indexed sums of random vectors, Coll. Math., 34, 1 (1975).
J. Rosiński, Shift compactness, concentration functions, and random sums of random vectors, (to appear).
-, Weak compactness of laws of random sums of identically distributed random vectors in Banach spaces, Coll. Math. 34, 2, (1975).
D. Szász, Limit theorems for the distributions of the sums of a random number of random variables, Annals of Math. Stat., 43 (1972), 6, 1902–1913.
V.S. Varadarajan, Measures on topological spaces, (in Russian), Mat. Sbornik, n.Ser. 55, (1961), 35–100.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Rosiński, J. (1976). Invariance principle for Banach space valued random variables and under random partitions. In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082355
Download citation
DOI: https://doi.org/10.1007/BFb0082355
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07793-0
Online ISBN: 978-3-540-38256-0
eBook Packages: Springer Book Archive