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Applications of Mathematics

Volumn 53, Issue 3, 2008, Pages 195-205

Some inequalities related to the Stam inequality

(2) Kagan, Abram a Yu, Tinghui a

a University of Maryland (United States)

Author keywords

Fisher information; location parameter; Pitman estimators

Indexed keywords

EID: 84867994703 PISSN: 08627940 EISSN: 15729109 Source Type: Journal
DOI: 10.1007/s10492-008-0004-2 Document Type: Article

Times cited : (5)

References (10)

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- (1991) J. Funct. Anal. , vol.101 , pp. 194-211
- Carlen, E.A.¹

2
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- Ibragimov, I.A.¹ Khas'Minskij, R.Z.²

3
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- Statistical meaning of Carlen's superadditivity of the Fisher information
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- A. Kagan Z. Landsman 1997 Statistical meaning of Carlen's superadditivity of the Fisher information Statist. Probab. Lett. 32 175 179 0874.60002 10.1016/S0167-7152(96)00070-3 1436863
- (1997) Statist. Probab. Lett. , vol.32 , pp. 175-179
- Kagan, A.¹ Landsman, Z.²

4
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- An inequality for the Pitman estimators related to the Stam inequality
- 1981759
- A. Kagan 2002 An inequality for the Pitman estimators related to the Stam inequality Sankhya A64 282 292 1981759
- (2002) Sankhya , vol.64 , pp. 282-292
- Kagan, A.¹

5
- 13544277656
- A sufficiency paradox: An insufficient statistic preserving the Fisher information
- 10.1198/000313005X21041 2113195
- A. Kagan L. A. Shepp 2005 A sufficiency paradox: an insufficient statistic preserving the Fisher information Amer. Statist. 59 54 56 10.1198/000313005X21041 2113195
- (2005) Amer. Statist. , vol.59 , pp. 54-56
- Kagan, A.¹ Shepp, L.A.²

6
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- Submitted
- A. Kagan, T. Yu, A. Barron, M. Madiman: Contribution to the theory of Pitman estimators. Submitted.
- Contribution to the Theory of Pitman Estimators
- Kagan, A.¹ Yu, T.² Barron, A.³ Madiman, M.⁴

7
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- Preprint. Dept. of Statistics, Yale University
- M. Madiman, A. Barron: The monotonicity of information in the central limit theorem and entropy power inequalities. Preprint. Dept. of Statistics, Yale University, 2006.
- (2006) The Monotonicity of Information in the Central Limit Theorem and Entropy Power Inequalities
- Madiman, M.¹ Barron, A.²

8
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- J. Shao: Mathematical Statistics, 2nd ed. Springer, New York, 2003.
- (2003) Mathematical Statistics
- Shao, J.¹

9
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- Some inequalities satisfied by the quantities of information of Fisher and Shannon
- 0085.34701 10.1016/S0019-9958(59)90348-1 109101
- A. J. Stam 1959 Some inequalities satisfied by the quantities of information of Fisher and Shannon Inform. and Control 2 101 112 0085.34701 10.1016/S0019-9958(59)90348-1 109101
- (1959) Inform. and Control , vol.2 , pp. 101-112
- Stam, A.J.¹

10
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- A proof of the Fisher information inequality via a data processing argument
- 0901.62005 10.1109/18.669301 1616672
- R. Zamir 1998 A proof of the Fisher information inequality via a data processing argument IEEE Trans. Inf. Theory 44 1246 1250 0901.62005 10.1109/18.669301 1616672
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- Zamir, R.¹

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