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Barndorff-Nielsen, O.E. (1986) Inference on Full and Partial Parameters Based on the Standardized Signed Log-Like- lihood Ratio. Biometrika , 73, 307-322.

has been cited by the following article:

• TITLE: Interval Estimation for the Stress-Strength Reliability with Bivariate Normal Variables

  AUTHORS: Pierre Nguimkeu, Marie Rekkas, Augustine Wong

  KEYWORDS: Bivariate Normal Distribution, Interval Estimation, Likelihood Analysis, Reliability

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.8, September 23, 2014

  ABSTRACT: We propose a procedure to obtain accurate confidence intervals for the stress-strength reliability R = P (X > Y) when (X, Y) is a bivariate normal distribution with unknown means and covariance matrix. Our method is more accurate than standard methods as it possesses a third-order distributional accuracy. Simulations studies are provided to show the performance of the proposed method relative to existing ones in terms of coverage probability and average length. An empirical example is given to illustrate its usefulness in practice.