Taneja, Inder J.; Pardo, Leandro; Morales, Domingo \(\lambda\)-measures of hypoentropy and comparison of experiments: Blackwell and Lehmann approach. (English) Zbl 0766.62002 Kybernetika 27, No. 5, 413-420 (1991). Summary: C. Ferreri [Statistica 40, 155-168 (1980; Zbl 0454.62004)] introduced and studied a \(\lambda\)-measure of hypoentropy. I. J. Taneja [ibid. 46, 465-478 (1986; Zbl 0616.62008)] extended it towards applications point of view. Recently, the authors [ in a paper to appear in Statistica] studied its applications to compare the experiments using Bayesian approach. In this paper, our aim is to study more applications of this measure in comparison of experiments applying Blackwell’s as well as Lehmann’s approach. Cited in 4 Documents MSC: 62B15 Theory of statistical experiments 62B10 Statistical aspects of information-theoretic topics Keywords:lambda-measures of hypoentropy; comparison of experiments Citations:Zbl 0454.62004; Zbl 0616.62008 PDF BibTeX XML Cite \textit{I. J. Taneja} et al., Kybernetika 27, No. 5, 413--420 (1991; Zbl 0766.62002) Full Text: EuDML Link OpenURL References: [1] M. Ben-Bassat: \(f\)-Entropies, probability of error and feature selection. Inform, and Control 39 (1978), 227-243. · Zbl 0394.94011 [2] D. Blackwell: Comparison of experiments. Proc. 2nd Berkeley Symp. University of Cali- fornia Press, Berkeley 1951, pp. 93-102. · Zbl 0044.14203 [3] D. Blackwell: Equivalent comparisons of experiments. Ann. Math. Statist. 24 (1953), 265-272. · Zbl 0050.36004 [4] D. Blackwell, M. A. Girshick: Theory of Games and Statistical Decisions. J. Wiley, New York 1954. · Zbl 0056.36303 [5] C. Ferreri: Hypoentropy and related heterogeneity, divergence and information measures. Statistica 2 (1980), 155-167. · Zbl 0454.62004 [6] M. H. De Groot: Optimal Statistical Decisions. McGraw-Hill, New York 1970. [7] E. L. Lehmann: Testing Statistical Hypothesis. J. Wiley, New York 1959. · Zbl 0089.14102 [8] D. V. Lindley: On a measure of information provided by an experiment. Ann. Math. Statist. 27(1956), 986-1005. · Zbl 0073.14103 [9] L. Pardo D. Morales, I. J. Taneja: \(\lambda\)-measures of hypoentropy and comparison of experiments: Bayesian approach. Statistica · Zbl 0782.62011 [10] I. J. Taneja: \(\lambda\)-measures of hypoentropy and their applications. Statistical (1986), 465-478. · Zbl 0616.62008 [11] I. J. Taneja L. Pardo D. Morales, M. L. Menendez: On generalized information and divergence measures and their applications: A brief review. Qüestio 13 (1989), 47-73. · Zbl 1167.94327 [12] I. Vajda, K. Vašek: Majorization, concave entropies, and comparison of experiments. Problems Control Inform. Theory 14 (1985), 105-114. · Zbl 0601.62006 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.