# A generalized p-value approach to inference on the performance measures of an M/Ek/1 queueing system

*Qian Zhang*,
*Xingzhong Xu* and
*Shiyun Mi*

*Communications in Statistics - Theory and Methods*, 2016, vol. 45, issue 8, 2256-2267

**Abstract:**
The hypothesis tests of performance measures for an M/Ek/1 queueing system are considered. With pivotal models deduced from sufficient statistics for the unknown parameters, a generalized p-value approach to derive tests about parametric functions are proposed. The focus is on derivation of the p-values of hypothesis testing for five popular performance measures of the system in the steady state. Given a sample T, let p(T) be the p values we developed. We derive a closed form expression to show that, for small samples, the probability P(p(T) ⩽ γ) is approximately equal to γ, for 0 ⩽ γ ⩽ 1.

**Date:** 2016

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**Persistent link:** https://EconPapers.repec.org/RePEc:taf:lstaxx:v:45:y:2016:i:8:p:2256-2267

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**DOI:** 10.1080/03610926.2013.879181

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