28
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Stochastic convergence of randomly weighted sums of random elements

, &
Pages 299-321 | Published online: 03 Apr 2007

References

  • Ahmad , I.A. On the WLLN for weighted sums of random elements in Banach spaces with random weights , Memphis State University . Preprint, Technical Report 79-10
  • Anderson , T.W. and Taylor , J.B. 1976 . Strong consistency of least squares estimates in normal linear regression . Annals of Statistics , 4 : 788 – 790 .
  • Billingsley , P. 1968 . Convergence of Probability Measures , New York : Wiley .
  • Calhoun , C.A. 1981 . Stochastic convergence of randomly weighted sums , University of South Carolina . Ph.D. Dissertation
  • Daffer , P.Z. 1981 . “ Some strong and weak laws o f large numnumbers f o r weighted sums i n D[0, 1] ” . In probability in Banach Spaces III , Vol. 860 , 99 – 106 . Springer Verlag . LECTURE NOTES IN MATHEMATICS
  • Daffer , P.Z. and Taylor , R.L. 1979 . Laws o f large numbers f o r D[0, 1] . Annals of Probability , 7 : 85 – 95 .
  • Daffer , P.Z. and Taylor , R.L. 1983 . Weak convergence of linear forms i n D[O, l] . Jour. of Multivariate Analysis , 13 : 366 – 374 .
  • Marcus , M. and Woyczynski , W. 1979 . Stable measures and centrallimit theorems inspaces of stable type . Trans.Amer. Math. Soc , 251 : 71 – 102 .
  • Parthasarathy , K.R. 1968 . Probability Measures on Metric Spaces , London : Academic Press .
  • Pruitt , W. 1966 . J. Math. & Mech , 15 : 769 – 776 .
  • Rohatgi , V.K. 1971 . Proc. Camb.Phil.Soc , 69 : 305 – 307 .
  • Taylor , R.L. 1978 . Stochastic Convergence o f Weighted Sums o f Random Elements in Linear Spaces , Vol. 672 , Springer-Verlag . Lecture notes in mathematics
  • Taylor , R.L. and Calhoun , C.A. 1983 . On the almost sure convergence o f randomly weighted sums of random elements . Annals of Probability , 11 : 795 – 797 .
  • Taylor , R.L. and Daffer , P.Z. 1980 . Convergence of weighted sums of random elements in D[0, 1] . Jour. of Multivariate Analysis , 10 : 95 – 106 .
  • Wright , F.T. 1981 . The empirical discrepancy over lower layers and a related law of large numbers . Annals of Probability , 9 : 323 – 329 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.