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Robust estimators of process capabil...
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Hsu, Bi-Min.
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Robust estimators of process capability indices using smooth adaptive estimator.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Robust estimators of process capability indices using smooth adaptive estimator./
作者:
Hsu, Bi-Min.
面頁冊數:
134 p.
附註:
Source: Dissertation Abstracts International, Volume: 63-04, Section: B, page: 2011.
Contained By:
Dissertation Abstracts International63-04B
標題:
Engineering, Industrial -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3048684
ISBN:
0493629610
Robust estimators of process capability indices using smooth adaptive estimator.
Hsu, Bi-Min.
Robust estimators of process capability indices using smooth adaptive estimator.
- 134 p.
Source: Dissertation Abstracts International, Volume: 63-04, Section: B, page: 2011.
Thesis (Ph.D.)--The University of Texas at Arlington, 2002.
Process capability indices <italic>C<sub>p</sub>, C<sub>pk</sub>, C<sub> pm</sub>,</italic> and <italic>C<sub>pmk</sub></italic> have been used in manufacturing industries to assess a quantitative measure of process potential and performance. Many studies have pointed out that the normally-based process capability indices (PCIs) are very sensitive to non-normal process. Also these capability indices are calculated using the process mean μ and standard deviation σ, which are almost always unknown and conventionally replaced with the sample mean <italic>X¯</italic> and standard deviation S. Since it is well known that the distribution of <italic>X¯</italic> is not stable to non-normality when sample size n is small, say n < 30, and S is not reliable for non-normality, none of the estimates of process capability indices are robust to non-normality.
ISBN: 0493629610Subjects--Topical Terms:
1260336
Engineering, Industrial
Robust estimators of process capability indices using smooth adaptive estimator.
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Supervisors: Chien-Pai Han; Herbert W. Corley.
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Process capability indices <italic>C<sub>p</sub>, C<sub>pk</sub>, C<sub> pm</sub>,</italic> and <italic>C<sub>pmk</sub></italic> have been used in manufacturing industries to assess a quantitative measure of process potential and performance. Many studies have pointed out that the normally-based process capability indices (PCIs) are very sensitive to non-normal process. Also these capability indices are calculated using the process mean μ and standard deviation σ, which are almost always unknown and conventionally replaced with the sample mean <italic>X¯</italic> and standard deviation S. Since it is well known that the distribution of <italic>X¯</italic> is not stable to non-normality when sample size n is small, say n < 30, and S is not reliable for non-normality, none of the estimates of process capability indices are robust to non-normality.
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For the above reasons, this research uses the smooth adaptive estimator, SA, proposed by Han and Hawkins (1994) to construct new and robust process capability indices, <italic>Ĉ<sub>p</sub>, Ĉ<sub>pk</sub>, Ĉ<sub> pm</sub>,</italic> and <italic>Ĉ<sub>pmk</sub></italic>. These indices are called smooth adaptive PCIs to improve the measure performance when the processes are non-normally distributed and sample sizes are small. The main idea of this estimator is to set the weight sequence, <italic>w<sub>i</sub></italic>, with probability one, constant “in the middle” observations and decreasing “toward and extremes” for observations at either end. The smooth adaptive PCIs will be compared with the normally-based (classical), median, and Clements PCIs in term of bias and mean square error
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To investigate the effect of sample size and non-normal processes for the estimated PCIs, we use the bootstrap method and four bootstrap confidence intervals to make the comparisons in a Monte Carlo study. The sample sizes considered are n = 10, 20, 30, and 50. The distributions used in the simulation are the beta distribution, and some bell-shaped (e.g., student-t) and right-skewed (e.g., Gamma) distributions
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3048684
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