Improved estimation of a function of scale parameter of a doubly censored exponential distribution

References

• Balakrishnan, N., and E. Cramer. 2014. The art of progressive censoring. Berlin, Germany: Springer.
   Google Scholar
• Brewster, J. F., and J. Zidek. 1974. Improving on equivariant estimators. The Annals of Statistics 2 (1):21–38. doi:10.1214/aos/1176342610.
   Web of Science ®Google Scholar
• Elfessi, A. 1997. Estimation of a linear function of the parameters of an exponential distribution from doubly censored samples. Statistics and Probability Letters 36 (3):251–9. doi:10.1016/S0167-7152(97)81470-8.
   Web of Science ®Google Scholar
• Epstein, B. 1956. Simple estimators of the parameters of exponential distributions when samples are censored. Annals of the Institute of Statistical Mathematics 8 (1):15–26. doi:10.1007/BF02863562.
   Web of Science ®Google Scholar
• Epstein, B., and M. Sobel. 1953. Life testing. Journal of the American Statistical Association 48 (263):486–502. doi:10.2307/2281004.
   Web of Science ®Google Scholar
• Epstein, B., and M. Sobel. 1954. Some theorems relevant to life testing from an exponential distribution. The Annals of Mathematical Statistics 25 (2):373–81. doi:10.1214/aoms/1177728793.
   Google Scholar
• Grubbs, F. E. 1971. Approximate fiducial bounds on reliability for the two parameter negative exponential distribution. Technometrics 13 (4):873–6. doi:10.2307/1266963.
   Web of Science ®Google Scholar
• Kambo, N. 1978. Maximum likelihood estimators of the location and scale parameters of the exponential distribution from a censored sample. Communications in Statistics–Theory and Methods 7 (12):1129–32. doi:10.1080/03610927808827696.
   Web of Science ®Google Scholar
• Kayal, S., S. Kumar, and P. Vellaisamy. 2015. Estimating the Rényi entropy of several exponential populations. Brazilian Journal of Probability and Statistics 29 (1):94–111. doi:10.1214/13-BJPS230.
   Web of Science ®Google Scholar
• Kubokawa, T. 1994. A unified approach to improving equivariant estimators. The Annals of Statistics 22 (1):290–9. doi:10.1214/aos/1176325369.
   Web of Science ®Google Scholar
• Kumar, S., and D. Sharma. 1996. A note on estimating quantiles of exponential populations. Statistics and Probability Letters 26 (2):115–8. doi:10.1016/0167-7152(94)00260-6.
   Web of Science ®Google Scholar
• Lehmann, E. L., and J. P. Romano. 2005. Testing statistical hypotheses. Berlin, Germany: Springer Science.
   Google Scholar
• Meeker, W. Q., and L. A. Escobar. 2014. Statistical methods for reliability data. Hoboken, NJ: John Wiley & Sons.
   Google Scholar
• Misra, N., R. Anand, and H. Singh. 1994. Estimation of the largest location parameter of exponential distributions. Communications in Statistics–Theory and Methods 23 (10):2865–80. doi:10.1080/03610929408831421.
   Web of Science ®Google Scholar
• Misra, N., P. Choudhary, I. Dhariyal, and D. Kundu. 2002. Smooth estimators for estimating order restricted scale parameters of two gamma distributions. Metrika 56 (2):143–61. doi:10.1007/s001840100169.
   Web of Science ®Google Scholar
• Misra, N., H. Singh, and E. Demchuk. 2005. Estimation of the entropy of a multivariate normal distribution. Journal of Multivariate Analysis 92 (2):324–42. doi:10.1016/j.jmva.2003.10.003.
   Web of Science ®Google Scholar
• Patra, L. K., and S. Kumar. 2017. Classes of improved estimators for parameters of a Pareto distribution. Mathematical Methods of Statistics 26 (3):226–35. doi:10.3103/S106653071703005X.
   Web of Science ®Google Scholar
• Patra, L. K., and S. Kumar. 2018. Estimating the common hazard rate of two exponential distributions with ordered location parameters. Statistics 52 (5):1040–59. doi:10.1080/02331888.2018.1495210.
   Web of Science ®Google Scholar
• Sharma, D. 1977. Estimation of the reciprocal of the scale parameter in a shifted exponential distribution. Sankhyā: The Indian Journal of Statistics, Series A 39 (2):203–5.
   Google Scholar
• Stein, C. 1964. Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean. Annals of the Institute of Statistical Mathematics 16 (1):155–60. doi:10.1007/BF02868569.
   Web of Science ®Google Scholar
• Sun, X., X. Zhou, and J. Wang. 2008. Confidence intervals for the scale parameter of exponential distribution based on type ii doubly censored samples. Journal of Statistical Planning and Inference 138 (7):2045–58. doi:10.1016/j.jspi.2007.08.006.
   Web of Science ®Google Scholar
• Tripathi, Y. M., C. Petropoulos, and M. Jha. 2018. Estimation of the shape parameter of a Pareto distribution. Communications in Statistics-Theory and Methods 47 (18):4459–68. doi:10.1080/03610926.2017.1376088.
   Web of Science ®Google Scholar
• Tripathi, Y. M., C. Petropoulos, F. Sultana, and M. K. Rastogi. 2018. Estimating a linear parametric function of a doubly censored exponential distribution. Statistics 52 (1):99–114. doi:10.1080/02331888.2017.1344242.
   Web of Science ®Google Scholar