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Some Problems Connected with Statistical Inference

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Cox, D. R.·1958·The Annals of Mathematical Statistics
DOI 10.1214/aoms/1177706618
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  1. [1][1] F. J. AnscomBE, "Contribution to the discussion of a paper by F. N. David and N. L. Johnson" J.R. Stat. Soc., B, Vol. 18, (1956), pp. 24–27. -
  2. [2][2] F. J. AnscomBE, "Dependence of the fiducial argument on the sampling rule", Biometrika, Vol. 44 (1957), pp. 464–469. -
  3. [3][3] R. R. BAHADUR AND L. J. SAvAGE, "The non-existence of certain statistical procedures in non-parametric problems", Ann. Math. Stat., Vol. 27 (1956), pp. 1115-1122. -
  4. [4][4] G. A. BArNArD, "The meaning of a significance level", Biometrika, Vol. 34 (1947), pp. 179-182. -
  5. [5][5] G. A. BARNArD, "Statistical inference", J.R. Stat. Soc., Suppl., Vol. 11 (1949), pp. 115-139. -
  6. [6][6] M. S. BARTLETT, "A note on the interpretation of quasi-sufficiency", Biometrika, Vol. 31 (1939), pp. 391–392. -
  7. [7][7] M. S. BArTLETT, "Comment on Sir Ronald Fisher's paper", J.R. Stat. Soc., B, Vol. 18 (1956), pp. 295–296. -
  8. [8][8] H. CHERNoFF, "A property of some type of A regions", Ann. Math. Stat., Vol. 22 (1951), pp. 472–474. -
  9. [9][9] M. A. CREAsy, "Limits for the ratio of means", J.R. Stat. Soc., B, Vol. 16 (1954), pp. 186-194. -
  10. [10][10] R. A. FisHER, "The logic of inductive inference", J.R. Stat. Soc., Vol. 98 (1935), pp. 39-54. -
  11. [11][11] R. A. FisHER, 'Statistical methods and scientific induction", J.R. Stat. Soc., B, Vol. 17 (1955), 69–78. -
  12. [12][12] R. A. FisíER, "On a test of significance in Pearson's Biometrika Table No. 11", J.R. Stat. Soc., B, Vol. 18 (1956), pp. 56–60. -
  13. [14][14] W. HoEFFDING, '"The role of assumptions in statistical decisions", Proc. 3rd Berkeley Symp., Vol. 1 (1955), pp. 105–114. -
  14. [15][15] S. KARLIN AND H. RuBIN, "Theory of decision procedures for distributions with monotone likelihood ratio", Ann. Math. Stat., Vol. 27 (1956), pp. 272–299. 16. y, a a , nn 1m. Stat. Assn. Vol. 50 (1955), pp. 946–967. -
  15. [17][17] H. JEFFREys, The theory of probability. Oxford, 2nd ed., 1946. - [19] D. V. LINDLEy, "A statistical paradox", Biometrika, Vol. 44 (1957), pp. 187-192. 19. I ss n n st mation, II, Sankhya, Vol. 15 (1955), pp. 219–236. - [20] J. G. MauLdoN, "Pivotal quantities for Wishart's and related distributions and a paradox in fiducial theory", J.R. Stat. Soc., B, Vol. 17 (1955), pp. 79–85. - [21] J. NEyMAN, "Note on an article by Sir Ronald Fisher", J.R. Stat. Soc., B, Vol. 18 (1956), pp. 288–294. - [22] J. NErmAN, "Outline of a theory of statistical estimation based on the classical theory of probability", Phil. Trans. Roy. Soc., A, Vol. 236 (1937), pp. 333–380. - [24] E. S. PEArsoN, "Statistical concepts in their relation to reality", J.R. Stat. Soc. B, Vol. 17 (1955), pp. 204–207. - [23] A. R. G. OwEN, "Ancillary statistics and fiducial distributions", Sankhya, Vol. 9, (1948), pp. 1–18.. - [25] J. PRzYBorowsKI AND J. WILENsKI, "Homogeneity of results in testing samples from Poisson series", Biometrika, Vol. 31 (1939), pp. 313–323. - [26] C. STEIN, "A property of some tests of composite hypotheses", Ann. Math. Stat., Vol. 22 (1951), pp. 475–476. - [28] J. W. TukEy, "Some examples with fiducial relevance", Ann. Math. Stat., Vol. 28 (1957), pp. 687–695. - [27] J. W. TukEy, "Fiducial inference", unpublished lectures. - [29] B. L. WELcH, "On confidence limits and sufficiency with particular reference to parameters of location", Ann. Math. Stat., Vol. 10 (1939), pp. 58–69. - [30] B. L. WELcí, "Generalisation of Student's problem", Biometrika, Vol. 34 (1947), pp. 28-35. - [31] B. L. WELcH, "Note on some criticisms made by Sir Ronald Fisher", J.R. Stat. Soc., B, Vol. 18 (1956), pp. 297–302.

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Authors
Cox, D. R.
Corresponding author
Cox, D. R.
Venue
The Annals of Mathematical Statistics
Publisher
Institute of Mathematical Statistics
Published
1958-06
Volume
29
Issue
2
Pages
357-372
ISSN
0003-4851 (ISSN-L)
DOI
10.1214/aoms/1177706618
OpenAlex
W3023006322
Cited by
536
References
0
Citations by year
2026: 4 · 2025: 14 · 2024: 18 · 2023: 17 · 2022: 18 · 2021: 14 · 2020: 14 · 2019: 10 · 2018: 32 · 2017: 19 · 2016: 16 · 2015: 9 · 2014: 27 · 2013: 15 · 2012: 13
FWCI
7.17
Type
journal article
Language
en
Open access
Locations
  • The Annals of Mathematical Statistics (publishedVersion)
  • Project Euclid (Cornell University) (submittedVersion)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
Keywords
statistical inference

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