Chacón, J. E.; Montanero, J.; Nogales, A. G.; Péres, P. A note on minimal sufficiency. (English) Zbl 1087.62005 Stat. Sin. 16, No. 1, 7-14 (2006). Summary: This paper shows that the classes of sufficient and minimal sufficient \(\sigma\)-fields are closed under products. The results are used to construct several examples that throw some light on the study of the relationship between minimal sufficiency and invariance, a problem posed by W. J. Hall, R. A. Wijsman and J. K. Ghosh [Ann. Math. Stat. 36, 575–614 (1965; Zbl 0227.62007)]. Cited in 1 ReviewCited in 2 Documents MSC: 62B05 Sufficient statistics and fields Keywords:Completeness; invariance; minimal sufficiency Citations:Zbl 0227.62007 PDFBibTeX XMLCite \textit{J. E. Chacón} et al., Stat. Sin. 16, No. 1, 7--14 (2006; Zbl 1087.62005)