BAYES PRE-TEST ESTIMATION OF SCALE PARAMETER OF WEIBULL DISTRIBUTION UNDER DIFFERENT LOSS FUNCTIONS USING PROGRESSIVE TYPE II CENSORED SAMPLE
Keywords:
Bayes pre-test estimator, Progressive type II censored sample, Squared error loss function, LINEX loss function, Weibull distribution.Abstract
In this paper, we propose Bayes Shrinkage (BS) estimators and Bayes Pre-test (BP) estimators for the scale parameter of Weibull distribution using type II progressive censored sample and study their properties under Squared Error Loss Function (SELF) and LINEX loss function (LLF). The results show that the suggested BP estimators, in terms relative risk with respect to both SELF and LINEX loss functions, have better performance than the BS estimators.
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References
Al-Aboud, F. M. (2009). Bayesian estimations for the extreme value
distribution using progressive censored data and asymmetric loss, International
Mathematical Forum, 33, p. 1603 – 1622.
Balakrishnan, N. and Aggarwala, R. (2000). Progressive censoring: Theory
and applications, Boston: Birkhauser and publisher.
Balakrishnan, N. (2007). Progressive censoring methodology: an appraisal,
Test, 16(2), p. 211–259.
Balakrishnan, N. and Dembinska, A. (2008). Progressively Type-II right
censored order statistics from discrete distributions, Journal of Statistical
Planning and Inference 138, p. 845–856.
Balakrishnan, N., Kannan, Lin, C.T. and Ng., H. K. T. (2003). Point and
interval estimation for Gaussian distribution, based on progressively type-II
censored samples, IEEE Transaction on Reliability, 52(1), p. 90-95.
Balakrishnan, N. and Cramer, E. (2008). Progressive censoring from
heterogeneous distributions with applications to robustness, AISM 60, p. 151–
