Distribution of runs in a two-stage process monitoring model

C. D. Lai; L. Y. Chan; M. Xie

doi:10.1081/SAC-100105078

Author(s)

C. D. Lai
L. Y. Chan
M. Xie

Detail(s)

Original language	English
Pages (from-to)	547-557
Journal / Publication	Communications in Statistics Part B: Simulation and Computation
Volume	30
Issue number	3
Publication status	Published - 2001
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1081/SAC-100105078 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-33749139154&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(6494c1d2-702c-45a1-aff6-3a34b0bbdcb6).html

Abstract

In statistical process control, procedures similar to double sampling technique can be used to incorporate information from two observations. This leads to the study of the distribution of runs. In this paper, a run is defined as the number of nonconformities observed until an alarm when the twostage procedure is used. The exact distribution of run and the average quantity inspected between alarms are derived and we also obtain some analytical results concerning the expected value of some interesting related quantities.

Research Area(s)

Cumulative quantity, Nonconformity, Run distribution, Stastistical process control, Two-stage control chart

Citation Format(s)

[ RIS ] [ BibTeX ]

Distribution of runs in a two-stage process monitoring model. / Lai, C. D.; Chan, L. Y.; Xie, M.
In: Communications in Statistics Part B: Simulation and Computation, Vol. 30, No. 3, 2001, p. 547-557.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Lai, CD, Chan, LY & Xie, M 2001, 'Distribution of runs in a two-stage process monitoring model', Communications in Statistics Part B: Simulation and Computation, vol. 30, no. 3, pp. 547-557. https://doi.org/10.1081/SAC-100105078

Lai, C. D., Chan, L. Y., & Xie, M. (2001). Distribution of runs in a two-stage process monitoring model. Communications in Statistics Part B: Simulation and Computation, 30(3), 547-557. https://doi.org/10.1081/SAC-100105078

Lai CD, Chan LY, Xie M. Distribution of runs in a two-stage process monitoring model. Communications in Statistics Part B: Simulation and Computation. 2001;30(3):547-557. doi: 10.1081/SAC-100105078

Lai, C. D. ; Chan, L. Y. ; Xie, M. / Distribution of runs in a two-stage process monitoring model. In: Communications in Statistics Part B: Simulation and Computation. 2001 ; Vol. 30, No. 3. pp. 547-557.