Joint Statistical Papers of Akahira and Takeuchi
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9789812383778, 9789812791221

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INFORMATION INEQUALITIES IN A FAMILY OF UNIFORM DISTRIBUTIONS

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0044 ◽

2003 ◽

pp. 580-588

Author(s):

MASAFUMI AKAHIRA ◽

KEI TAKEUCHI

Keyword(s):

Information Inequalities ◽

Uniform Distributions

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THE HIGHER ORDER LARGE-DEVIATION APPROXIMATION FOR THE DISTRIBUTION OF THE SUM OF INDEPENDENT DISCRETE RANDOM VARIABLES

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0043 ◽

2003 ◽

pp. 558-579 ◽

Author(s):

Masafumi Akahira ◽

Kei Takeuchi ◽

Kunihiko Takahashi

Keyword(s):

Large Deviation ◽

Random Variables ◽

Higher Order ◽

Discrete Random Variables

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RANDOMIZED CONFIDENCE INTERVALS OF A PARAMETER FOR A FAMILY OF DISCRETE EXPONENTIAL TYPE DISTRIBUTIONS

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0041 ◽

2003 ◽

pp. 517-542

Author(s):

Masafumi Akahira ◽

Kei Takeuchi ◽

Kunihiko Takahashi

Keyword(s):

Confidence Intervals ◽

Exponential Type

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A definition of information amount applicable to non-regular cases

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0036 ◽

2003 ◽

pp. 455-476

Author(s):

Masafumi Akahira ◽

Kei Takeuchi

Keyword(s):

Definition Of ◽

Definition Of Information ◽

Information Amount

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SECOND ORDER ASYMPTOTIC EFFICIENCY IN TERMS OF THE ASYMPTOTIC VARIANCE OF SEQUENTIAL ESTIMATION PROCEDURES IN THE PRESENCE OF NUISANCE PARAMETERS

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0034 ◽

2003 ◽

pp. 429-445

Author(s):

Masafumi Akahira ◽

Kei Takeuchi

Keyword(s):

Asymptotic Efficiency ◽

Asymptotic Variance ◽

Sequential Estimation ◽

Second Order ◽

Nuisance Parameters ◽

Estimation Procedures

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SECOND AND THIRD ORDER ASYMPTOTIC COMPLETENESS OF THE CLASS OF ESTIMATORS

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0028 ◽

2003 ◽

pp. 325-341

Author(s):

Masafumi Akahira ◽

Fumiko Hirakawa ◽

Kei Takeuchi

Keyword(s):

Asymptotic Completeness ◽

Third Order ◽

Class Of Estimators

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A Note on the Minimum Variance Unbiased Estimation When the Fisher Information is Infinity

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0019 ◽

2003 ◽

pp. 231-236

Author(s):

Masafumi AKAHIRA ◽

Kei TAKEUCHI

Keyword(s):

Fisher Information ◽

Minimum Variance ◽

Unbiased Estimation

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ESTIMATION OF A COMMON PARAMETER FOR POOLED SAMPLES FROM THE UNIFORM DISTRIBUTIONS

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0018 ◽

2003 ◽

pp. 221-230

Author(s):

MASAFUMI AKAHIRA ◽

KEI TAKEUCHI

Keyword(s):

Uniform Distributions ◽

Common Parameter ◽

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Third Order Asymptotic Efficiency and Asymptotic Completeness of Estimators

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0016 ◽

2003 ◽

pp. 191-198

Author(s):

Kei TAKEUCHI ◽

Masafumi AKAHIRA

Keyword(s):

Asymptotic Efficiency ◽

Asymptotic Completeness ◽

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A NOTE ON PREDICTION SUFFICIENCY (ADEQUACY) AND SUFFICIENCY

Joint Statistical Papers of Akahira and Takeuchi ◽

10.1142/9789812791221_0015 ◽

2003 ◽

pp. 187-190

Author(s):

MASAFUMI AKAHIRA ◽

KEI TAKEUCHI

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