The asymptotic distribution of the process capability index \(C_{pmk}\). (English) Zbl 0850.62745
Summary: The main result of this paper is that under some regularity conditions, the distribution of an estimator of the process capability index \(C_{pmk}\) is asymptotically normal.
MSC:
| 62P30 | Applications of statistics in engineering and industry; control charts |
| 62E20 | Asymptotic distribution theory in statistics |
References:
| [1] | Anderson T.W., An Introduction to Multivariate Statistical Analysis (1984) · Zbl 0651.62041 |
| [2] | DOI: 10.2307/2347383 · Zbl 0707.62205 · doi:10.2307/2347383 |
| [3] | Boyles R.A., Journal of Quality Technology 23 pp 17– (1991) |
| [4] | Burr, I.R. 1976.Statistical Quality Control Methods, 234–334. New York: Marcel Dekker. · Zbl 0357.62086 |
| [5] | Chan L.K., Journal of Quality Technology 20 pp 162– (1988) |
| [6] | Chan L.K., Statistical Theory and Data Analysis II pp 223– (1988) |
| [7] | DOI: 10.1080/03610929008830183 · Zbl 0900.62539 · doi:10.1080/03610929008830183 |
| [8] | DOI: 10.1080/03610928908830174 · Zbl 0707.62030 · doi:10.1080/03610928908830174 |
| [9] | Franklin L.A., Journal of Quality Technology 24 pp 196– (1992) |
| [10] | Guirguis G.H., Journal of Quality Technology 24 pp 236– (1992) |
| [11] | Kan V.E., Journal of Quality Technology 18 pp 41– (1986) |
| [12] | Kushler R., Journal of Quality Technology 24 pp 188– (1992) |
| [13] | Montgomery, D.C. 1991.Introduction to Statistical Quality Control, 2nd edition, 365–405. New York: John Wiley and Sons. |
| [14] | Pearn W., Journal of Quality Technology 24 pp 216– (1992) |
| [15] | DOI: 10.2307/2347409 · Zbl 0825.62735 · doi:10.2307/2347409 |
| [16] | DOI: 10.1080/08982119308918995 · doi:10.1080/08982119308918995 |
| [17] | Rodriguez R.N., Journal of Quality Technology 24 pp 176– (1992) |
| [18] | DOI: 10.1002/9780470316481.ch1 · doi:10.1002/9780470316481.ch1 |
| [19] | Spiring F.A., Quality Proqress 24 pp 57– (1991) |
| [20] | Spiring F. A., Journal of Quality Technology 23 pp 125– (1991) |
| [21] | Sullivan L.P., Quality Progress 17 pp 15– (1934) |
| [22] | Sullivan L.P., Quality Progress 18 pp 7– (1985) |
| [23] | DOI: 10.1080/02664769300000035 · doi:10.1080/02664769300000035 |
| [24] | Zhang N.F., Communications in Statistics: theory and Methods 19 pp 4455– (1991) · doi:10.1080/03610929008830451 |
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