Bootstrap confidence intervals for the process capability index under half-logistic distribution

被引：0
|
作者：
Panichkitkosolkul, Wararit [1 ]
Saothayanun, Luckhana [2 ]
机构：
[1] Thammasat Univ, Fac Sci & Technol, Dept Math & Stat, Pathum Thani 12121, Thailand
[2] Univ Thai Chamber Commerce, Fac Sci, Dept Appl Stat, Bangkok 10400, Thailand
来源：
MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY | 2012年 / 6卷 / 02期
关键词：
bootstrap confidence interval; process capability index; half-logistic distribution; ORDER-STATISTICS;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This study concerns the construction of bootstrap confidence intervals for the process capability index in the case of half-logistic distribution. The bootstrap confidence intervals applied consist of standard bootstrap confidence interval, percentile bootstrap confidence interval and bias-corrected percentile bootstrap confidence interval. Using Monte Carlo simulations, the estimated coverage probabilities and average widths of bootstrap confidence intervals are compared, with results showing that the estimated coverage probabilities of the standard bootstrap confidence interval get closer to the nominal confidence level than those of the other bootstrap confidence intervals for all situations.
引用
收藏
页码：272 / 281
页数：10
相关论文
共 50 条
  • [1] Bootstrap Confidence Intervals of the Difference between Two Process Capability Indices for Half Logistic Distribution
    Panichkitkosolkul, Wararit
    Wattanachayakul, Somchit
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2012, 8 (04) : 879 - 894
  • [2] Bootstrap Confidence Intervals of the Modified Process Capability Index for Weibull distribution
    Kashif, Muhammad
    Aslam, Muhammad
    Rao, G. Srinivasa
    AL-Marshadi, Ali Hussein
    Jun, Chi-Hyuck
    [J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2017, 42 (11) : 4565 - 4573
  • [3] Bootstrap Confidence Intervals of the Modified Process Capability Index for Weibull distribution
    Muhammad Kashif
    Muhammad Aslam
    G. Srinivasa Rao
    Ali Hussein AL-Marshadi
    Chi-Hyuck Jun
    [J]. Arabian Journal for Science and Engineering, 2017, 42 : 4565 - 4573
  • [4] Improved bootstrap confidence intervals for the process capability index Cpk
    Park, Chanseok
    Dey, Sanku
    Ouyang, Linhan
    Byun, Jai-Hyun
    Leeds, Mark
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2020, 49 (10) : 2583 - 2603
  • [5] Robust confidence intervals for the process capability index Cpk with bootstrap improvement
    Ouyang, Linhan
    Dey, Sanku
    Park, Chanseok
    [J]. QUALITY ENGINEERING, 2024, 36 (03) : 624 - 637
  • [6] On the bootstrap confidence intervals of the capability index Cpk for multiple process streams
    Wang, Dja-Shin
    Koo, Tong-Yuan
    Chou, Chao-Yu
    [J]. ENGINEERING COMPUTATIONS, 2007, 24 (5-6) : 473 - 485
  • [7] A PROGRAM TO CALCULATE BOOTSTRAP CONFIDENCE-INTERVALS FOR THE PROCESS CAPABILITY INDEX, CPK
    WASSERMAN, GS
    MOHSEN, HA
    FRANKLIN, LA
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1991, 20 (2-3) : 497 - 510
  • [8] Bootstrap confidence intervals of process capability index Spmk using different methods of estimation
    Dey, Sanku
    Saha, Mahendra
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2020, 90 (01) : 28 - 50
  • [9] Constructing Bootstrap Confidence Intervals of Process Capability Indices for a Three Parameter Weibull Distribution
    Ali, Shafaqat
    Khoo, Michael B. C.
    Kashif, Mohammad
    Javed, Zunair
    Saha, Sajal
    [J]. MATEMATIKA, 2022, 38 (01): : 21 - 32
  • [10] Bootstrap confidence intervals of process capability indices Spmk, Spmkc and Cs for Frechet distribution
    Kanwal, Tahira
    Abbas, Kamran
    [J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2023, 39 (06) : 2244 - 2257
12345