Open Access
September, 1986 The Total Time on Test Plot and the Cumulative Total Time on Test Statistic for a Counting Process
Richard D. Gill
Ann. Statist. 14(3): 1234-1239 (September, 1986). DOI: 10.1214/aos/1176350062

Abstract

Results on the total time on test plot are usually obtained on the assumption that the number of events to be observed is fixed in advance. Here it is shown that the same large sample results hold when the number of events is random if a simple condition is satisfied.

Citation

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Richard D. Gill. "The Total Time on Test Plot and the Cumulative Total Time on Test Statistic for a Counting Process." Ann. Statist. 14 (3) 1234 - 1239, September, 1986. https://doi.org/10.1214/aos/1176350062

Information

Published: September, 1986
First available in Project Euclid: 12 April 2007

zbMATH: 0608.62124
MathSciNet: MR856818
Digital Object Identifier: 10.1214/aos/1176350062

Subjects:
Primary: 62M99
Secondary: 62N05 , 62P10

Keywords: counting process , cumulative total time on test statistic , Random time change , Testing exponentiality , Total time on test plot

Rights: Copyright © 1986 Institute of Mathematical Statistics

Vol.14 • No. 3 • September, 1986
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