Accelerated sequential procedure for selecting the best exponential population

On Two-Stage Selection of the Best Negative Exponential Population with Applications

“…In order to glance at some first-order and second-order asymptotic considerations of two-stage, purely sequential, accelerated sequential, and three-stage selection methodologies, one may look at Mukhopadhyay (1984Mukhopadhyay ( ,1986Mukhopadhyay ( ,1987 and Mukhopadhyay and Solanky (1992). In the present circumstances, analogous multistage selection methodologies with obvious modifications could also be proposed.…”

Replicated piecewise multistage sampling with applications

“…Several non-elimination type multistage selection procedures have been proposed in the literature by mimicing the expression of C. Among these, the two-stage procedure of Desu et al (1977) and the modified two-stage procedure of Mukhopadhyay (1986) are not included in our discussions because these two methodologies again lack certain asymptotic (as 6* + 0) second-order characteristics. We summarize three possible large scale experiments d first.…”

“…Purely Sequential Procedure d [Mukhopadhyay (1986)l Start with m0(>2) samples from each r and continue by taking one sample at a time from each r according to the stopping rule N = i n f { n > m 0 : n>a*vn6*-l}.…”

“…Accelerated Sequential Procedure d [Mukhopadhyay and Solanky (1992b)l First choose and fix 0 < p < 1 and start by taking m&2) samples from each r . Define t = infin > mo : n > pa*~i6*-1 1, where V i = n(n -l)-lvn and q(>O) is an appropriate fine-tuning factor.…”

“…Hence, (2.6) is not needed in order for Theorem 1 to hold. Thus, for m > 1 + 2k-' , one can obtain the second+rder expansion of E[gu(N/C)], and consequently the second4rder expansion of P(CS) in the case of LFC as given in Mukhopadhyay (1986). One should also refer to Woodroofe (1977) and Ghosh and Mukhopadhyay (1975) in this context.…”