Extending the FCLT version of L = λ

نویسنده

  • Ward Whitt
چکیده

The functional central limit theorem (FCLT) version of Little’s law (L = λW ) established by Glynn and Whitt is extended to show that a bivariate FCLT for the number in the system and the waiting times implies the joint FCLT for all processes. It is based on a converse to the preservation of convergence by the composition map with centering on the function space containing the sample paths, exploiting monotonicity. © 2012 Elsevier B.V. All rights reserved.

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Extending the FCLT version of L=λW

The functional central limit theorem (FCLT) version of Little’s law (L = λW ) established by Glynn and Whitt is extended to show that a bivariate FCLT for the number in system and the waiting times implies the joint FCLT for all processes. It is based on a converse to the preservation of convergence by the composition map with centering on the function space containing the sample paths, exploit...

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تاریخ انتشار 2012