Shrinkage Estimators for the Exponential Scale Parameter under Multiply Type II Censoring

Authors

  • Umesh Singh Banaras Hindu University, India
  • Anil Kumar Banaras Hindu University, India

DOI:

https://doi.org/10.17713/ajs.v34i1.397

Abstract

We consider the problem of estimating the scale parameter of an exponential distribution under multiply type II censoring when a prior point guess of the parameter value is available. Shrinkage estimators are obtained from the approximate maximum likelihood estimators proposed in Singh et al. (2004) and in Balasubramanian and Balakrishnan (1992). These estimators are then compared by their simulated mean squared errors.

References

Balakrishnan, N. (1990). On the maximum likelihood estimation of the location and scale parameters of exponential distribution based on multiply-II censored sample. Journal of Applied Statistics, 17, 55-61.

Balasubramanian, K., and Balakrishnan, N. (1992). Estimation for one and two parameter exponential distribution under multiply-II censoring. Statistical Papers, 33, 203-216.

Leemis, L. M., and Shih, L. H. (1989). Exponential parameter estimation for data sets containing left and right censored observations. Communications in Statistics: Simulation and Computation, 18, 1077-1085.

Sarhan, A. E., and Greenberg, B. G. (1957). Tables for best linear estimates by order statistics of the parameters of single exponential distributions from singly and doubly censored samples. Journal of the American Statistical Association, 52, 55-87.

Sarhan, A. E., and Greenberg, B. G. (1962). Contribution to Order Statistics. New York: Wiley.

Singh, U., Kumar, A., and Upadhyay, S. K. (2004). Maximum likelihood estimators of the parameter of exponential distribution under multiply type II censoring. Assam Statistical Review, 18.

Thompson, J. R. (1968). Some shrinkage techniques for estimation the mean. Journal of the American Statistical Association, 63, 113-122.

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Published

2016-04-03

How to Cite

Singh, U., & Kumar, A. (2016). Shrinkage Estimators for the Exponential Scale Parameter under Multiply Type II Censoring. Austrian Journal of Statistics, 34(1), 39–49. https://doi.org/10.17713/ajs.v34i1.397

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Articles