The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. Bickel, P. J., Wichura, M. J. Convergence criteria for multiparameter stochastic processes and some applications. Ann. Math. Statist. 42 (1971), 1656--1670. MR0383482 (52 #4363)
  2. Goldie, Charles M., Greenwood, Priscilla E. Characterisations of set-indexed Brownian motion and associated conditions for finite-dimensional convergence. Ann. Probab. 14 (1986), no. 3, 802--816. MR0841585 (88e:60038a)
  3. Goldie, Charles M., Greenwood, Priscilla E. Variance of set-indexed sums of mixing random variables and weak convergence of set-indexed processes. Ann. Probab. 14 (1986), no. 3, 817--839. MR0841586 (88e:60038b)
  4. Khoshnevisan, Davar. Multiparameter processes. An introduction to random fields. Springer Monographs in Mathematics. Springer-Verlag, New York, 2002. xx+584 pp. ISBN: 0-387-95459-7 MR1914748 (2004a:60003)
  5. Prohorov, Yu. V. Convergence of random processes and limit theorems in probability theory. (Russian) Teor. Veroyatnost. i Primenen. 1 (1956), 177--238. MR0084896 (18,943b) MR0084896 (18,943b)
  6. Rackauskas, Alfredas, Suquet, Charles. Holder versions of Banach space valued random fields. Dedicated to Professor Nicholas Vakhania on the occasion of his 70th birthday. Georgian Math. J. 8 (2001), no. 2, 347--362. MR1851042 (2002f:60070)
  7. Rackauskas, A., Suquet, Ch. Principe d'invariance holderien pour des tableaux triangulaires de variables aleatoires. [Holderian invariance principle for triangular arrays of random variables] (French) Liet. Mat. Rink. 43 (2003), no. 4, 513--532; translation in Lithuanian Math. J. 43 (2003), no. 4, 423--438 MR2058924 (2005f:60087)
  8. Rackauskas, A., Suquet, C. Central limit theorems in Holder topologies for Banach space valued random fields. Teor. Veroyatn. Primen. 49 (2004), no. 1, 109--125; translation in Theory Probab. Appl. 49 (2005), no. 1, 77--92 MR2141332 (2006b:60011)
  9. Rackauskas, Alfredas, Suquet, Charles. Holder norm test statistics for epidemic change. J. Statist. Plann. Inference 126 (2004), no. 2, 495--520. MR2088755 (2005k:62129)
  10. Rackauskas, Alfredas, Suquet, Charles. Testing epidemic changes of infinite dimensional parameters. Stat. Inference Stoch. Process. 9 (2006), no. 2, 111--134. MR2249179 (2008f:62107)
  11. Rackauskas, Alfredas, Suquet, Charles, Zemlys, Vaidotas. A Holderian functional central limit theorem for a multi-indexed summation process. Stochastic Process. Appl. 117 (2007), no. 8, 1137--1164. MR2340883 (2008e:60086)
  12. Rackauskas, A., Zemlys, V. Functional central limit theorem for a double-indexed summation process. Liet. Mat. Rink. 45 (2005), no. 3, 401--412; translation in Lithuanian Math. J. 45 (2005), no. 3, 324--333 MR2192992 (2006k:60064) MR2192992 (2006k:60064)
  13. van der Vaart, Aad W., Wellner, Jon A. Weak convergence and empirical processes. With applications to statistics. Springer Series in Statistics. Springer-Verlag, New York, 1996. xvi+508 pp. ISBN: 0-387-94640-3 MR1385671 (97g:60035)
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.