Group Acceptance Sampling Plan Using Marshall-Olkin Kumaraswamy Exponential (MOKw-E) Distribution

被引:22
|
作者
Almarashi, Abdullah M. [1 ]
Khan, Khushnoor [1 ]
Chesneau, Christophe [2 ]
Jamal, Farrukh [3 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Stat, Jeddah 21589, Saudi Arabia
[2] Univ Caen, Dept Math, LMNO, Campus 2,Sci 3, F-14032 Caen, France
[3] Islamia Univ Bahawalpur, Dept Stat, Punjab 63100, Pakistan
关键词
Marshall-Olkin Kumaraswamy; consumer's risk; group acceptance plan; PARAMETER; FAMILY;
D O I
10.3390/pr9061066
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The current research concerns the group acceptance sampling plan in the case where (i) the lifetime of the items follows the Marshall-Olkin Kumaraswamy exponential distribution (MOKw-E) and (ii) a large number of items, considered as a group, can be tested at the same time. When the consumer's risk and the test terminsation period are defined, the key design parameters are extracted. The values of the operating characteristic function are determined for different quality levels. At the specified producer's risk, the minimum ratios of the true average life to the specified average life are also calculated. The results of the present study will set the platform for future research on various nano quality level topics when the items follow different probability distributions under the Marshall-Olkin Kumaraswamy scheme. Real-world data are used to explain the technique.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Kumaraswamy Marshall-Olkin Exponential distribution
    George, Roshini
    Thobias, S.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (08) : 1920 - 1937
  • [2] A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution
    Gillariose, Jiju
    Tomy, Lishamol
    Jamal, Farrukh
    Chesneau, Christophe
    JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2021, 20 (02): : 129 - 152
  • [3] A Group Acceptance Sampling Plans for Lifetimes Following a Marshall-Olkin Extended Exponential Distribution
    Rao, G. Srinivasa
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2011, 6 (02): : 592 - 601
  • [4] Kumaraswamy Marshall-Olkin Logistic Exponential分布
    刘焱哲
    贾俊梅
    闫在在
    数理统计与管理, 2021, 40 (04) : 654 - 670
  • [5] Marshall-Olkin generalized exponential distribution
    Ristić M.M.
    Kundu D.
    METRON, 2015, 73 (3) : 317 - 333
  • [6] The Marshall-Olkin exponential Weibull distribution
    Pogany, Tibor K.
    Saboor, Abdus
    Provost, Serge
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06): : 1579 - 1594
  • [7] The Kumaraswamy Marshall-Olkin Log-Logistic Distribution with Application
    Selen Cakmakyapan
    Gamze Ozel
    Yehia Mousa Hussein El Gebaly
    G. G. Hamedani
    Journal of Statistical Theory and Applications, 2018, 17 (1): : 59 - 76
  • [8] Double Acceptance Sampling Plans Based on Truncated Life Tests for the Marshall-Olkin Extended Exponential Distribution
    Rao, G. Srinivasa
    AUSTRIAN JOURNAL OF STATISTICS, 2011, 40 (03) : 169 - 176
  • [9] The Kumaraswamy Marshall-Olkin Log-Logistic Distribution with Application
    Cakmakyapan, Selen
    Ozel, Gamze
    El Gebaly, Yehia Mousa Hussein
    Hamedani, G. G.
    JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2018, 17 (01): : 59 - 76
  • [10] Weighted Marshall-Olkin bivariate exponential distribution
    Jamalizadeh, Ahad
    Kundu, Debasis
    STATISTICS, 2013, 47 (05) : 917 - 928