CONFIDENCE INTERVALS FOR THE INVERSE OF MEAN IN A NORMAL DISTRIBUTION WITH A KNOWN COEFFICIENT OF VARIATION

被引:0
|
作者
Wongkhao, Arunee [1 ]
Niwitpong, Sa-aat [1 ]
Niwitpong, Suparat [1 ]
机构
[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Appl Stat, Bangkok 10800, Thailand
关键词
inverse of mean; confidence interval; coefficient of variation;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This paper presents two new confidence intervals for the inverse of mean in a normal distribution with a known coefficient of variation. The first of these confidence intervals, for this problem, is constructed based on the pivotal statistic Z, where Z is a standard normal distribution and the second is constructed based on a fiducial quantity. A Monte Carlo simulation study was conducted to compare the performance of these confidence intervals, in terms of coverage probabilities and expected lengths, with the bootstrap confidence intervals.
引用
收藏
页码:1 / 14
页数:14
相关论文
共 50 条
  • [1] Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean
    Panichkitkosolkul, Wararit
    [J]. JOURNAL OF PROBABILITY AND STATISTICS, 2013, 2013
  • [2] Confidence Intervals for Common Mean of Normal Distributions with Known Coefficient of Variation
    Sodanin, Sukritta
    Niwitpong, Sa-Aat
    Niwitpong, Suparat
    [J]. INTEGRATED UNCERTAINTY IN KNOWLEDGE MODELLING AND DECISION MAKING, IUKM 2016, 2016, 9978 : 574 - 585
  • [3] Confidence Intervals for Coefficient of Variation of Inverse Gaussian Distribution
    Chankham, Wasana
    Niwitpong, Sa-Aat
    Niwitpong, Suparat
    [J]. ICVISP 2019: PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON VISION, IMAGE AND SIGNAL PROCESSING, 2019,
  • [4] CONFIDENCE INTERVALS FOR THE RATIO OF NORMAL MEANS WITH A KNOWN COEFFICIENT OF VARIATION
    Niwitpong, Suparat
    Koonprasert, Sanoe
    Niwitpong, Sa-aat
    [J]. ADVANCES AND APPLICATIONS IN STATISTICS, 2011, 25 (01) : 47 - 61
  • [5] Generalized Confidence Intervals for the Normal Mean With Unknown Coefficient of Variation
    Sodanin, Sukritta
    Niwitpong, Sa-Aat
    Niwitpong, Suparat
    [J]. INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICOMEIA2016), 2016, 1775
  • [6] Improved Confidence Intervals for a Coefficient of Variation of a Normal Distribution
    Panichkitkosolkul, Wararit
    [J]. THAILAND STATISTICIAN, 2009, 7 (02): : 193 - 199
  • [7] SEQUENTIAL CONFIDENCE INTERVALS FOR THE MEAN OF A NORMAL DISTRIBUTION WITH KNOWN VARIANCE
    STEIN, C
    WALD, A
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1947, 18 (03): : 427 - 433
  • [8] CONFIDENCE INTERVALS FOR THE DIFFERENCE BETWEEN NORMAL MEANS WITH A KNOWN COEFFICIENT OF VARIATION
    Niwitpong, Sa-aat
    [J]. ADVANCES AND APPLICATIONS IN STATISTICS, 2016, 49 (01) : 49 - 65
  • [9] Two new confidence intervals for the coefficient of variation in a normal distribution
    Mahmoudvand, Rahim
    Hassani, Hossein
    [J]. JOURNAL OF APPLIED STATISTICS, 2009, 36 (04) : 429 - 442
  • [10] ESTIMATING THE MEAN OF AN INVERSE GAUSSIAN DISTRIBUTION WITH KNOWN COEFFICIENT OF VARIATION
    JOSHI, S
    SHAH, M
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1991, 20 (09) : 2907 - 2912