Journals Information
Universal Journal of Applied Mathematics Vol. 2(4), pp. 176 - 183
DOI: 10.13189/ujam.2014.020403
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Acceptance Sampling Plans: Size Biased Lomax Model
R. Subba Rao 1, A. Naga Durgamamba 2,*, R.R.L. Kantam 3
1 Shri Vishnu Engineering College for Women, Bhimavaram, 534202, Andhra Pradesh, India
2 Raghu Institute of Technology, Dakamarri, Visakhapatnam, 531162, Andhra Pradesh, India
3 Acharya Nagarjuna University, Guntur, 522510, Andhra Pradesh, India
ABSTRACT
A new probability model size biased Lomax is considered for a life time random variable. The problem of acceptance sampling when the life test is truncated at a pre-assigned time is discussed with a known shape parameter. For various acceptance numbers, confidence levels and values of the ratio of the fixed experimental time to the specified mean life, the minimum sample size necessary to assure the specified mean life time is evaluated. The operating characteristic functions of the sampling plans are derived. Producer鈥檚 risk is also discussed. A table for the ratio of true mean life to a specified mean life that ensure acceptance with a pre-assigned probability is provided. The results are given by an example.
KEYWORDS
Size Biased Lomax Model (SBLM), Operating Characteristic (O.C), Truncated Life Test, Sampling Plans
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] R. Subba Rao , A. Naga Durgamamba , R.R.L. Kantam , "Acceptance Sampling Plans: Size Biased Lomax Model," Universal Journal of Applied Mathematics, Vol. 2, No. 4, pp. 176 - 183, 2014. DOI: 10.13189/ujam.2014.020403.
(b). APA Format:
R. Subba Rao , A. Naga Durgamamba , R.R.L. Kantam (2014). Acceptance Sampling Plans: Size Biased Lomax Model. Universal Journal of Applied Mathematics, 2(4), 176 - 183. DOI: 10.13189/ujam.2014.020403.