Positivity in $H$-systems and sufficient statistics
Author:
T. S. Pitcher
Journal:
Trans. Amer. Math. Soc. 85 (1957), 166-173
MSC:
Primary 46.1X
DOI:
https://doi.org/10.1090/S0002-9947-1957-0084726-7
MathSciNet review:
0084726
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References | Similar Articles | Additional Information
- W. Ambrose, The $L_2$-system of a unimodular group. I, Trans. Amer. Math. Soc. 65 (1949), 27–48. MR 28322, DOI https://doi.org/10.1090/S0002-9947-1949-0028322-1
- R. R. Bahadur, Sufficiency and statistical decision functions, Ann. Math. Statistics 25 (1954), 423–462. MR 63630, DOI https://doi.org/10.1214/aoms/1177728715
- Paul R. Halmos and L. J. Savage, Application of the Radon-Nikodym theorem to the theory of sufficient statistics, Ann. Math. Statistics 20 (1949), 225–241. MR 30730, DOI https://doi.org/10.1214/aoms/1177730032 B. Nagy, On the set of positive functions in ${L_2}$, Ann. of Math. vol. 39 (1938) pp. 1-13.
- Robert Pallu de la Barrière, Algèbres unitaires et espaces de Ambrose, C. R. Acad. Sci. Paris 233 (1951), 997–999 (French). MR 44752
- Tom Pitcher, Sets of “positive” functions in $H$-systems, Trans. Amer. Math. Soc. 77 (1954), 481–489. MR 66565, DOI https://doi.org/10.1090/S0002-9947-1954-0066565-3
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Article copyright:
© Copyright 1957
American Mathematical Society
