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Vol 4, No 2 :

openaccess

Control Charts for Monitoring Parameters of the Generalized Exponential Distribution
S K. Khilare , D T Shirke
Abstract
The two-parameter generalized exponential distribution has been studied for various applications of lifetime modelling. The generalized exponential distribution can be used as an alternative to the gamma or Weibull distribution in many situations. In this paper, control charts for monitoring parameters of the generalized exponential distribution are proposed (upper-sided, lower-sided and both-sided control charts). Performance of the proposed control charts is measured using average run length. For shifts in shape parameter in positive direction from its in-control value, the upper-sided control chart performs significantly better. The upper-sided control chart performs significantly better for decreasing shifts in scale parameter and also for simultaneous shifts in both parameters from its in-control value. The lower-sided control chart performs better for decreasing shifts in shape parameter and increasing shifts in scale parameter from its in control value. The two-sided control chart performs better for decreasing simultaneous shifts in both the parameters.  Proposed control chart is very easy and simple for practitioners.
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References
A. K. Dey; D. Kundu; Discriminating among the Log-normal, Weibull, and generalized exponential distributions. IEEE Transactions on Reliability, 58 416-424 (2009).
R. D. Gupta; D. Kundu; Discriminating between gamma and general- ized exponential distributions. Journal of Statistical Computation and simulation, 74(2) 107-121(2004).
R. D. Gupta; D. Kundu; Generalized exponential distributions. Australian and New Zealand Journal of Statistics, 41 173-188(1999).
R. D. Gupta; D. Kundu; Exponentiated exponential distribution: an alternative to gamma and Weibull distributions. Biometrical Journal, 43 117-130 (2001a).
R. D. Gupta; D. Kundu; Generalized exponential distributions: Different method of estimations. Journal of Statistical Computation and Simulation, 69 315-338 (2001b).
R. D. Gupta; D. Kundu; Generalized exponential distributions: statistical inferences. Journal Statistic Theory Application, 1 101-118 (2002).
R. D. Gupta; D. Kundu; Discriminating between Weibull and generalized exponential distributions. Computational Statistics and Data Analysis, 43 179-196 (2003).
R. D. Gupta; D. Kundu; Discriminating between gamma and generalized exponential distributions. Journal of Statistical Computation and Simulation,74(2) 107-121 (2004).
R. D. Gupta; D. Kundu; Comparison of the Fisher information between the Weibull and generalized exponential distribution. Journal of Statistical Planning and Inference, 136(9) doi:10.1016/j.jspi.2004.11.013
Z. F. Jaheen; Empirical Bayes inference for generalized exponential distribution based on records. Communications in Statistics-Theory and Methods, 33 1851-1861(2004).
M. Z. Raqab; Inference for generalized exponential distribution based on record statistics. Journal of Statistical Planning and Inference, 104 339-350 (2002).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

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