|
Positivity in -systems and sufficient statistics
Author:
T. S. Pitcher
Journal:
Trans. Amer. Math. Soc. 85 (1957), 166-173
MSC:
Primary 46.1X
MathSciNet review:
0084726
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
W.
Ambrose, The 𝐿₂-system of a
unimodular group. I, Trans. Amer. Math.
Soc. 65 (1949),
27–48. MR
0028322 (10,429d), http://dx.doi.org/10.1090/S0002-9947-1949-0028322-1
- [2]
R.
R. Bahadur, Sufficiency and statistical decision functions,
Ann. Math. Statistics 25 (1954), 423–462. MR 0063630
(16,154g)
- [3]
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 0030730
(11,42g)
- [4]
B. Nagy, On the set of positive functions in
, Ann. of Math. vol. 39 (1938) pp. 1-13.
- [5]
Robert
Pallu de la Barrière, Algèbres unitaires et espaces
de Ambrose, C. R. Acad. Sci. Paris 233 (1951),
997–999 (French). MR 0044752
(13,473a)
- [6]
Tom
Pitcher, Sets of “positive”
functions in 𝐻-systems, Trans. Amer.
Math. Soc. 77
(1954), 481–489. MR 0066565
(16,597d), http://dx.doi.org/10.1090/S0002-9947-1954-0066565-3
- [1]
- W. Ambrose, The
system of a unimodular group. I, Trans. Amer. Math. Soc. vol. 65 (1949) pp. 27-48. MR 0028322 (10:429d)
- [2]
- R. R. Bahadur, Sufficiency and statistical decision functions, Ann. Math. Statist. vol. 25 (1954) pp. 423-462. MR 0063630 (16:154g)
- [3]
- P. R. Halmos and L. J. Savage, Application of the Radon-Nikodym theorem to the theory of sufficient statistics, Ann. Math. Statist, vol. 20 (1949) pp. 225-241. MR 0030730 (11:42g)
- [4]
- B. Nagy, On the set of positive functions in
, Ann. of Math. vol. 39 (1938) pp. 1-13.
- [5]
- R. Pallu de la Barriere, Algèbras unitaries et espaces de Ambrose, C.R. Acad. Sci. Paris vol. 233 (1951) pp. 997-999. MR 0044752 (13:473a)
- [6]
- T. Pitcher, Sets of positive functions in
-systems, Trans. Amer. Math. Soc. vol. 77 (1954) pp. 481-489. MR 0066565 (16:597d)
Similar Articles
Retrieve articles in Transactions of the American Mathematical Society
with MSC:
46.1X
Retrieve articles in all journals
with MSC:
46.1X
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1957-0084726-7
PII:
S 0002-9947(1957)0084726-7
Article copyright:
© Copyright 1957 American Mathematical Society
|