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An asymptotically efficient test for the bundle strength of filaments

Published online by Cambridge University Press:  14 July 2016

Pranab Kumar Sen
Pranab Kumar Sen*
Affiliation:
University of North Carolina, Chapel Hill
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Abstract

Based on a Wiener process approximation, a sequential test for the bundle strength of filaments is proposed and studied here. Asymptotic expressions for the OC and ASN functions are derived, and it is shown that asymptotically the test is more efficient than the usual fixed sample size procedure based on the asymptotic normality of the standarized form of the bundle strength of filaments, studied earlier by Daniels (1945), and Sen, Bhattacharyya and Suh (1973).

Keywords

ASYMPTOTIC RELATIVE EFFICIENCYAVERAGE SAMPLE NUMBERALMOST SURE CONVERGENCEBUNDLE STRENGTH OF FILAMENTSOC FUNCTIONSEQUENTIAL TESTWIENER PROCESS APPROXIMATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 3 , September 1973 , pp. 586 - 596
Copyright
Copyright © Applied Probability Trust 1973 

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Footnotes

Research sponsored by the Aerospace Research Laboratories, Air Force systems Command, U. S. Air Force, Contract F33615-71-C-1927.

References

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