Deals with Q,
the "quality index", for a Weibull variable (graph here...), under "acceptance sampling".
The quality index, Q, ism for a Gaussian,
QU = (U − Xbar) ⁄ S, and for a Weibull,
QU = (U ⁄ δ^)
(θ|θ^),
with the acceptability criterion Q ≥ k.
For the estimation of location and dispersion,
for the "total median" and concomitant measures of variability,
weights aa (i = 1..n) are applied
to the ordered sample, For n = 5, it is
a = (.058, .259, .366, .259, .058),
b = (-.672, -.240, 0, .240, .672), and c = 1.80062.
For details, see, e.g.: Figueiredo [2003] (in →),
Figueiredo and Gomes [2016].
† The Web environment typically
permits only short (~30 s) runs (hence a small N.)
Plots the OC curve,
Prac(ω).
Joint research with: Prof.
Elisabete Carolino (ESTeSL) and Prof. Rosário Ramos (Universidade Aberta). |
• Wikipedia: Weibull
distribution
• Weibull.com
• Google: "acceptance sampling"
• Cox, Maurice, and
Eulogio Pardo Iguzquiza,
2001, "The total median and its uncertainty",
Advanced Mathematical and Computational Tools in Metrology, V,
ed. P. Ciarlini et al., World Scientific Publishing Company
(pp 106–117). (Google booka).
• Figueiredo, Fernanda, and
M. Ivette Gomes,
2006, "Box-Cox transformations and robust control charts in SPC",
Advanced Mathematical and Computational Tools in Metrology, VII,
ed. P. Ciarlini et al., World Scientific Publishing Co.
(pp 35–46). Table 1, Table 2 (p 38) (Google booka).
• Figueiredo, Fernanda, and
M. Ivette Gomes,
2016, "The total median statistic to monitor contaminated normal
data", Quality Technology & Quantitative Management, 13:1,
pp 78–87, DOI:10.1080/16843703.2016.1139840.
• Schilling, Edward G. and
Dean V. Neubauer,
2009, "Acceptance Sampling in Quality Control", Taylor & Francis,
Boca Raton, FL (USA).
• 1873-03-29: Levi-Civita, Tullio
(1941-12-29). |
