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Cost-Effective Life Test Acceptance Sampling Plans for Generalized Exponential Distribution

Jyoti Divecha, D P Raykundaliya


Life test sampling plans requiring minimum sample size are desirable in industries for lot of quality assurance. Such plans have been proposed by making use of the past information for the Weibull distributed lifetimes. Other than Weibull, in many situations, lifetimes are positively skewed and fit the generalized exponential distribution well. In this paper, we present life test sampling plans requiring minimum sample size when lifetimes follow the generalized exponential distribution. We provide tables for the selection of appropriate life test sampling plan with respect to the choices of the producer’s and consumer’s risks. We also explain their applications on real life examples. R code used for estimation of plan parameters and acceptance probabilities is given in appendix.

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M. Aslam; S. Balamurali; C. Jun and A. Meer; Time- truncated attribute sampling plans using EWMA for Weibull and Burr Type X distributions. Communication in Statistics – Simulations and Computations, 46(6) 4173-4184 (2017).

M. Aslam; D. Kundu; and M. Ahmad; Time truncated acceptance sampling plans for generalized exponential distribution. Journal of Applied Statistics, 37 (4) 555-566 (2010).

M. Aslam; and C.H. Jun; A group acceptance sampling plan for truncated life test having Weibull distribution. Journal of Applied Statistics, 36 1021-1027 (2009).

N.Balakrishnan; V.Leiva; and J. Lopez; Acceptance sampling plans from truncated life tests based on the generalized Birnbaum–Saunders distribution. Communication in Statistics – Simulations and Computations, 36 643–656 (2007).

H.F. Dodge; and H.G. Romig; Sampling Inspection Tables: Single and Double Sampling. New York, NY: Wiley (1959).

B. Epstein; Truncated life tests in the exponential case, Annals of Mathematical Statistics, 25 555 – 564 (1954).

K. Fertig; and N.R. Mann; Life-test sampling plans for two parameter Weibull populations. Technometrics, 22 165-177 (1980).

H.P. Goode; J.H.K. Kao; Sampling plans based on the Weibull distribution. Proceeding of the Seventh National Symposium on Reliability and Quality Control. Philadelphia. Pennsylvania. 24–40 (1961).

S. S. Gupta; P.A. Groll; Gamma distribution in acceptance sampling based on life tests. Jour. American Statistical Association, 56 942–970 (1961).

S. S. Gupta; Life test sampling plans for normal and lognormal distributions. Technometrics, 4(2) 151–175(1962).

R.D.Gupta; D.Kundu; Generalized Exponential Distribution. Australian & New Zealand Jour. Statist., 41(2) 173-188 (1999).

R. D. Gupta; D. Kundu; Discriminating between Weibull and generalized exponential distributions, Computational Statistics & Data Analysis, 43 179-196 (2003).

R. D. Gupta D. Kundu; Generalized exponential distribution: existing methods and recent developments, Journal of the Statistical Planning and Inference, 137 3537 – 3547 (2007).

R.R.L. Kantam ; K. Rosaiah; Half logistic distribution in acceptance sampling based on life tests. IAPQR Transactions, 23 117-125 (1998).

R.R.L. Kantam; K. Rosaiah; and, G. Srinivasa Rao; Acceptance Sampling based on life tests: log-logistic model. Journal of Applied Statistics, 28 121-128 (2001).

J.F. Lawless; Statistical Models and Methods for Lifetime Data, Wiley, New York (1982).

H. Linhart, and W. Zucchini; Model Selection. Wiley, New York (1986).

S. Nadarajah; The Exponentiated Exponential Distribution: A Survey. Advanced Statistical Analysis, 95 (3) 219–251 (2011).

S. W. Roberts; Control chart tests Based on Geometric Moving Averages, Technometrics, 1 239-250 (1959).

K. Rosaiah; R.R.L. Kantam; Acceptance Sampling Based on the Inverse Rayleigh Distribution. Economic Quality Control, 20. 277-286 (2005).

K.Rosaiah; R.R.L. Kantam; and Ch.Santosh Kumar; Exponentiated log-logistic distribution – an economic reliability test plan. Pakistan J. Statist., 23(2) 147–156 (2007).

S. Singh; Y.M. Tripathi; C.-H. Jun; Sampling plan based on truncated life test for a generalized inverted exponential distribution. Industrial Engineering & Management Systems, 14 183-195 (2015).

T.-R.Tsai; S.-J.Wu; Acceptance sampling based on truncated life tests for generalized Rayleigh distribution. J. Applied Statistics, 33(6) 595–600 (2006).


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