Decision Rule Based on Group Sampling Plan Under the Inverse Gaussian Distribution

被引:10
作者
Aslam, Muhammad [1 ]
Azam, Muhammad [1 ]
Jun, Chi-Hyuck [2 ]
机构
[1] Forman Christian Coll Univ, Dept Stat, Lahore 54000, Pakistan
[2] POSTECH, Dept Ind & Management Engn, Pohang, South Korea
来源
SEQUENTIAL ANALYSIS-DESIGN METHODS AND APPLICATIONS | 2013年 / 32卷 / 01期
关键词
Acceptance sampling; Consumer's risks; Inverse Gaussian distribution; Life tests; Producer's risk; TRUNCATED LIFE TESTS; RELIABILITY; RAYLEIGH; MODEL;
D O I
10.1080/07474946.2013.751849
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 article deals with the group acceptance sampling plan based on truncated life tests when the lifetime of a product follows the inverse Gaussian distribution. The design parameters such as the acceptance number and the number of groups are determined according to the specified number of testers, experiment time, and mean ratio. Tables are presented for different known values of the shape parameter. The misspecification issue of the model parameter is also studied. Some examples are discussed to illustrate the plan under the inverse Gaussian distribution.
引用
收藏
页码:71 / 82
页数:12
相关论文
共 23 条
[11]   Inverse Gaussian distribution and its application to reliability [J].
Jain, RK ;
Jain, S .
MICROELECTRONICS AND RELIABILITY, 1996, 36 (10) :1323-1335
[12]  
Kantam R. R. L., 1998, IAPQR T, V23, P117
[13]   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
[14]  
Lancaster A., 1972, J ROYAL STAT SOC A, V135, P257, DOI [10.2307/2344321, DOI 10.2307/2344321]
[15]   QUADRATIC STATISTICS FOR THE GOODNESS-OF-FIT TEST OF THE INVERSE GAUSSIAN DISTRIBUTION [J].
PAVUR, RJ ;
EDGEMAN, RL ;
SCOTT, RC .
IEEE TRANSACTIONS ON RELIABILITY, 1992, 41 (01) :118-123
[16]  
Rosaiah K., 2005, ECO QUALITY CONTROL, V2, P277, DOI DOI 10.1515/EQC.2005.277
[17]  
Rosaiah K., 2006, EC QUAL CONTROL, V21, P165, DOI [10.1515/EQC.2006.279, DOI 10.1515/EQC.2006.279]
[18]  
Rosaiah K., 2007, PAKISTAN J STAT, V23, P147
[19]  
Schrodinger E, 1915, PHYS Z, V16, P289
[20]   A RELIABILITY APPLICATION OF A MIXTURE OF INVERSE GAUSSIAN DISTRIBUTIONS [J].
SMITH, CE ;
LANSKY, P .
APPLIED STOCHASTIC MODELS AND DATA ANALYSIS, 1994, 10 (01) :61-69