Journal of the Korean Statistical Society

  • 제26권4호
  • /
  • Pages.543-554
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  • 1997
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Bootstrapping Unified Process Capability Index

  • Cho, Joong-Jae (Department of Statistics, Chungbuk National University, Chenogju, 360-763) ;
  • Han, Jeong-Hye (Department of Computer Science, Chungbuk National University, Cheongju, 360-763) ;
  • Jo, See-Heyon (Chongju National University of Education, Chongju, 360-150)
  • 발행 : 1997.12.01
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초록

A family of some capability indices { $C_{p}$(.alpha.,.beta.); .alpha..geq.0, .beta..geq.0}, containing the indices $C_{p}$, $C_{{pk}}$, $C_{{pm}}$, and $C_{{pmk}}$, has been defined by Vannman(1993) for the case of two-sided specification interval. By varying the parameters of the family various capability indices with suitable properties are obtained. We derive tha asymptotic distribution of the family { $C_{p}$(.alpha.,.beta.); .alpha..geq.0,.beta..geq.0} under general proper conditions. It is also shown that the bootstrap approximation to the distribution of the estimator $C_{p}$(.alpha., .beta.) is vaild for almost all sample sequences. These asymptotic distributions would be used in constructing some bootstrap confidence intervals.tervals.

키워드

참고문헌

  1. Annals of Statistics v.9 Some Asymptotic Theory for the Bootstrap Bickel, P.J.;Freedman, D.A.
  2. Communications in Statistics - Theory and Methods v.19 no.1 On the Asymptotic Distributions of Some Process Capability Indices Chan, L.K.;Xiong, Z.;Zhang, D.
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  4. Annals of Statistics v.7 Boostrap Methods: Another look at the jackknife Efron, B.
  5. Communications in Statistics-Simulation and Computation v.20 no.1 Boostrap Confidence Interval Estimates of $C_{pk}$: An Introduction Franklin, L.A.;Wasserman, G.
  6. Journal of Quality technology v.24 Bootsrap Lower Confidence Interval Limits for Capability Indices Franklin, L.A.;Wasserman, G.
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  8. Annals of Statistics v.16 Theoretical Comparison of Bootstrap Confidence Intervals Hall, P.
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  11. Annals of Mathematical Statistics v.43 A Note on Asymptotic Joint Normality Mallows, C.L.
  12. Journal of Quality Technology v.24 Distributional and Inferential Properties of Process Capability Indices Pearn, W.L.;Kotz, S.;Johnson, N.L.
  13. Journal of Quality Technology v.24 Recent Developments in Process Capability Analysis Rodriguez, R.N.
  14. Approximation Theorems of Mathematical Statistics Serfling, R.J.
  15. Research Report, Division of Quality Technology & Statistics, Lulea University, S-97187 A Unified Approach to Capability Indices Vannman, K
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