APPLICATION OF BOOTSTRAP METHOD IN CAPABILITY INDICES OF ASYMMETRIC TORLERANCES
蔡建華、駱景堯
E-mail: 9015652@mail.dyu.edu.tw
ABSTRACT
FOR THE LAST TWO DECADES, PROCESS CAPABILITY INDICES (PCIS) WHOSE PURPOSE IS TO ASSESS THE ABILITY OF A PROCESS TO PRODUCING ITEMS THAT SATISFY THE PROCESS SPECIFICATION LIMITS PRESENTED BY THE CUSTOMERS HAVE RECEIVED SUBSTANTIAL ATTENTION IN THE RELATED QUALITY LITERATURES. LOTS OF RESEARCHERS FOCUS THEIR STUDY ON THE PCIS WITH SYMMETRIC
TOLERANCES, HOWEVER, THERE EXIST MANY PCIS WITH ASYMMETRIC TOLERANCE INSTANCES IN THE PRACTICAL MANUFACTURING ENVIRONMENTS. IN THIS RESEARCH, TWO ASYMMETRIC PCIS, AND , ARE SELECTED AND FOUR CONFIDENCE INTERVALS USUALLY USED IN BOOTSTRAPPING METHOD ARE APPLIED TO DEAL WITH ADDRESSED PCIS PROBLEMS. THE SIMULATION RESULTS IN VARIOUS MANUFACTURING CONDITIONS ARE INVESTIGATED AND SOME SUGGESTIONS ARE PROVIDED IN THE STUDY.
Keywords : PROCESS CAPABILITY INDICES, ASYMMETRIC TOLERANCE,BOOTSTRAPPING Table of Contents
第一章 緒論--P1 1.1 研究背景與動機--P1 1.2 研究目的--P2 1.3 研究範圍--P3 1.4 研究方法與步驟--P3 1.5 研究內容與架構--P4 第二章 參考文獻--P7 2.1 傳統製程能力指標--P7 2.1.1--P7 2.1.2--P8 2.1.3--P9 2.1.4--P9 2.2 非對稱區間製程能力指標--P10 2.3 BOOTSTRAP方法在能力指標信賴區間之相關研究--P19 第三章 BOOTSTRAP方法--P21 3.1 BOOTSTRAP簡介--P21 3.2 BOOTSTRAP之基本原理--P21 3.3 BOOTSTRAP之估計--P24 3.3.1 BOOTSTRAP之標準差估計--P24 3.3.2 BOOTSTRAP之 偏差估計--P26 3.4 BOOTSTRAP信賴區間的建構--P28 3.4.1 THE STANDARD BOOTSTRAP CONFIDENCE INTERVAL (SB)--P29 3.4.2 PERCENTILE BOOTSTRAP CONFIDENCE INTERVAL(PB)--P30 3.4.3 BIASED CORRECTED
PERCENTILE BOOTSTRAP BONFIDENCE INTERVAL(BCPB)--P31 3.4.4 PERCENTILE-T METHOD(PT)--P32 第四章 BOOTSTRAP方法之效益評估--P34 4.1 能力指標的估計--P34 4.1.2 的期望值--P34 4.1.2 的變異數--P40 4.2 模擬方法--P40 4.2.1 BOOTSTRAP之標準差與偏差--P41 4.2.2 BOOTSTRAP信賴區間--P41 4.3 BOOTSTRAP估計之評估--P42 4.3.1 BOOTSTRAP之標準差估計--P42 4.3.2 BOOTSTRAP之偏差估計--P43 4.4 BOOTSTRAP信賴區間模擬結果--P43 4.4.1 常態 分配--P43 4.4.2 卡方分配--P47 4.4.3 STUDENT'S T分配--P49 第五章 結論與建議--P52 5.1 結論--P52 5.2 建議--P54
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