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
Beck, A. (1976). Cancellation in Banach spaces. Probability in Banach Spaces, Oberwolfach 1975, LECTURE NOTES IN MATHEMATICS, Vol 526, Springer-Verlag, 13–20
Beck, A. and Warren, P. (1974). Strong laws of large numbers for weakly orthogonal sequences of Banach space-valued random variables. Annals of Probability, 2, 918–925.
Hoffmann-Jørgensen, J. (1974). Sums of independent Banach space valued random variables. Studia Math., J. LII., 159–188.
Hoffmann-Jorgensen, J. and Pisier, G. (1976). The law of large numbers and the central limit theorem in Banach spaces. Annals of Probability, 4, 587–599.
Howell, J., Taylor, R. and Woyczynski, W. (preprint). Stability of linear and quadratic forms of random variables in Banach spaces.
Howell, J. (Preprint). Dependent random variables and the law of large numbers in Banach spaces of type p.
Marcus, M. and Woyczynski, W. (1978). Stable measures and central limit theorems in spaces of stable type. Trans. Amer. Math. Soc., 231, 71–102.
Marcinkiewicz, J. and Zygmund, A. (1937). Sur les fonctions indépendantes. Fundamenta Math., 29, 60–90.
Rosinski, J. and Woyczynski, W. (1977). Weakly orthogonally additive functionals, white noise integrals and linear Gaussian stochastic processes. Pacific J. of Math., 71, 159–172.
Singer, I. (1970). Bases in Banach Spaces I, Springer-Verlag, New York.
Taylor R. (1978). Stochastic Convergence of Weighted Sums of Random Elements in Linear Spaces. LECTURE NOTES IN MATHEMATICS, Vol 672, Springer-Verlag.
Warren, P. and Howell, J. (1976). A strong law of large numbers for orthogonal Banach space-valued random variables. Probability in Banach Spaces, Oberwolfach 1975. LECTURE NOTES IN MATHEMATICS, Vol 526, Springer-Verlag, 253–262.
Wei, D. and Taylor, R. (1978a). Geometrical consideration of weighted sums convergence and random weighting. Bull. Inst. Math.Acad. Sinica, 6, 49–59.
Wei, D. and Taylor, R. (1978b). Convergence of weighted sums of tight random elements. J. Mult. Anal., 8, 282–294.
Woyczynski, W. (1978). Geometry and Martingales in Banach spaces, II, Advances in Probability, 4, 267–517.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Howell, J.O., Taylor, R.L. (1981). Marcinkiewicz-zygmund weak laws of large numbers for unconditional random elements in Banach spaces. In: Beck, A. (eds) Probability in Banach Spaces III. Lecture Notes in Mathematics, vol 860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090617
Download citation
DOI: https://doi.org/10.1007/BFb0090617
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