Nandi, S. B.; Aich, A. B. A note on confidence bounds for \(P(X>Y)\) in bivariate normal samples. (English) Zbl 0835.62091 Sankhyā, Ser. B 56, No. 2, 129-136 (1994). Summary: In the context of reliability under a stress-strength model, the problem of constructing confidence bounds for \(P(X>Y)\) frequently arises. Many authors have considered the problem both under parametric and non- parametric frameworks. While most of the authors have taken \(X\) and \(Y\) to be independent, we assume that the random vector \((X, Y)\) follows a bivariate normal distribution . The problem of obtaining the sample size for specified confidence length and the confidence coefficient is then considered. Cited in 3 Documents MSC: 62N05 Reliability and life testing 62F25 Parametric tolerance and confidence regions 62E15 Exact distribution theory in statistics Keywords:confidence bounds; correlation coefficients; reliability; stress-strength model; bivariate normal distribution; sample size; confidence length; confidence coefficient PDFBibTeX XMLCite \textit{S. B. Nandi} and \textit{A. B. Aich}, Sankhyā, Ser. B 56, No. 2, 129--136 (1994; Zbl 0835.62091)