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Original Articles

Deterministic Approximation of a Sequence of Nearly Critical Branching Processes

Pages 1013-1024 | Received 11 Nov 2007, Accepted 22 Feb 2008, Published online: 28 Aug 2008

REFERENCES

  • Billingsley , P. 1968 . Convergence of Probability Measures . Wiley , New York , USA .
  • Bingham , N.H. , Goldie , C.M. , and Teugels , J.L. 1987 . Regular variation . In: Encyclopedia of Mathematics and its Applications . Vol. 27 . Cambridge University Press , Cambridge .
  • Datta , S. , Sriram , T.N. 1995 . A modified bootstrap for branching processes with immigration . Stochastic Processes and Application 56 : 275 – 294 .
  • Ispàny , M. , Pap , G. , and Van Zuijlen , M.C.A. 2005 . Fluctuation limit of branching processes with immigration and estimation of the means . Advanced Applications and Probability 37 : 523 – 538 .
  • Jacod , J. , and Shiryaev , A.N. ( 2003 ). Limit Theorems for Stochastic Processes . Springer , Berlin .
  • Sriram , T.N. 1994 . Invalidity of bootstrap for critical branching processes with immigration . Annals of Statistics 22 : 1013 – 1023 .

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