Acceptance sampling plans based on truncated life tests for Burr type X distribution

被引:13
作者
Hu, Min [1 ]
Gui, Wenhao [2 ]
机构
[1] Beijing Informat Sci & Technol Univ, Sch Informat Management, Beijing 100192, Peoples R China
[2] Univ Minnesota Duluth, Dept Math & Stat, Duluth, MN 55812 USA
关键词
Acceptance sampling plan; operating characteristic function value; manufacturer's risk; truncated lifetime test; Burr type X distribution;
D O I
10.1080/09720510.2017.1413044
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
In this paper, we consider acceptance sampling plans for the Burr type X distribution under a truncated lifetime test. For various confidence levels, acceptance numbersand the ratio values of the experimental time to the given and specified median life, the smallest sample size required to insure a certain median lifetime are obtained. The operating characteristic function and the associated manufacturer's risks are also proposed. We illustrate the acceptance sampling plans with a real numerical example.
引用
收藏
页码:323 / 335
页数:13
相关论文
共 17 条
[1]   Acceptance sampling plan based on truncated life tests for exponentiated frechet distribution [J].
Al-Nasser, Amjad D. ;
Al-Omari, Amer I. .
JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2013, 16 (01) :13-24
[2]   Time truncated acceptance sampling plans for generalized exponential distribution [J].
Aslam, Muhammad ;
Kundu, Debasis ;
Ahmad, Munir .
JOURNAL OF APPLIED STATISTICS, 2010, 37 (04) :555-566
[3]   Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution [J].
Balakrishnan, N. ;
Leiva, Victor ;
Lopez, Jorge .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2007, 36 (03) :643-656
[4]   Cumulative frequency functions [J].
Burr, IW .
ANNALS OF MATHEMATICAL STATISTICS, 1942, 13 :215-232
[5]  
Feroze N., 2012, INT J PURE APPL SCI, V11, P16
[6]  
Goode H. P., 1961, TECHNICAL REPORT
[7]   GAMMA DISTRIBUTION IN ACCEPTANCE SAMPLING BASED ON LIFE TESTS [J].
GUPTA, SS ;
GROLL, PA .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1961, 56 (296) :942-&
[8]   LIFE TEST SAMPLING PLANS FOR NORMAL AND LOGNORMAL DISTRIBUTIONS [J].
GUPTA, SS .
TECHNOMETRICS, 1962, 4 (02) :151-&
[9]  
Kantam R.R.L., 2005, ECO QUALITY CONTROL, V20, P277, DOI [DOI 10.1515/EQC.2005.277, 10.1515/eqc.2005.277]
[10]   Acceptance sampling based on life tests: log-logistic model [J].
Kantam, RRL ;
Rosaiah, K ;
Rao, GS .
JOURNAL OF APPLIED STATISTICS, 2001, 28 (01) :121-128