Some locally optimal subset selection rules for comparison with a control

Decision theoretic Bayesian hypothesis testing with the selection goal

“…For the problems related to microarray data analysis, where the purpose is to …nd not necessarily the best components but several components with high yields if they exist, the current methodology can perhaps be extended with loss functions de…ned appropriately. Such problems in the context of the selection problems, when comparing with a control, have been considered by several authors; see, for example, Tong (1969), Gupta and Hsiao (1983), Huang, Panchapakesan and Tseng (1984), and Gupta and Li (2005).…”

Subset Selection Procedures: A Review and an Assessment

“…Some other locally optimal subset selection rules with different optimality criteria have been recently obtained by Huang and Panchapakesan (1982b) and Huang, Panchapakesan and Tseng (1984). These will be discussed in the next section.…”

“…Their local optimality criterion involved maximizing the PCS in a neighborhood of an equi-parameter point. Locally optimal rules involving different optimality criteria have been recently investigated by Huang and Panchapakesan (1982b)and Huang, Panchapakesan and Tseng (1984). ' w 54 Huang and Panchapakesan (1982b) Huang and Nagel (1979), it is assumed that the functional form of f(x,o) is known.…”

“…Locally optimal rules involving different optimality criteria have been recently investigated by Huang and Panchapakesan (1982b)and Huang, Panchapakesan and Tseng (1984). ' w 54 Huang and Panchapakesan (1982b) Huang and Nagel (1979), it is assumed that the functional form of f(x,o) is known. For selecting the best population, Huang and Panchapakesan (1982b) derived a permutation-invariant rule 6 such that inf P (CS|(5) = P* where…”

Locally Optimal Subset Selection Rules Based on Ranks Under Joint Type Ii Censoring

“…Finally, a comparison between the subset selection rule R and that of Huang and Panchapakesan (1982) is discussed in Section 5.…”