A personal celebration of Dr. D. Basu with emphasis on examples-counterexamples-clarifications
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Publication:6648794
DOI10.1007/s13171-024-00359-5MaRDI QIDQ6648794
Publication date: 5 December 2024
Published in: Sankhyā. Series A (Search for Journal in Brave)
symmetryindependencecompletenessstopping timeFisher informationcommon meansufficiencyancillarityStein's identityRao-BlackwellizationBasu's theoremmean absolute deviation (MAD)Gini's mean difference (GMD)moments of randomly stopped mean
Point estimation (62F10) Foundations and philosophical topics in statistics (62A01) Statistical aspects of information-theoretic topics (62B10) Sequential estimation (62L12)
Cites Work
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- Fisher information, sufficiency, and ancillarity: some clarifications
- Extensions to Basu's theorem, factorizations, and infinite divisibility
- A revisit to the common mean problem: comparing the maximum likelihood estimator with the Graybill-Deal estimator
- Sequential analysis. Tests and confidence intervals
- Admissible minimax estimation of a common mean of two normal populations
- A robust generalized Bayes estimator and confidence region for a multivariate normal mean
- Estimation of the mean of a multivariate normal distribution
- Statistical information and likelihood. A collection of critical essays by Dr. D. Basu
- Point and confidence estimation of a common mean and recovery of interblock information
- Theory of statistical estimation.
- On the mathematical foundations of theoretical statistics.
- Independent ratios \(X/Z\), \(Y/Z\) when \(X\), \(Y\) are (in)dependent but \((X,Y)\), \(Z\) are dependent
- Ratios \(X/Z\), \(Y/Z\) built from independent random variables \((X,Y)\) and \(Z\) may not always be dependent
- Estimation of the common mean of a bivariate normal population
- On rereading Stein's lemma: its intrinsic connection with Cramér-Rao identity and some new identities
- On rereading D. Basu's jointly sufficient statistic example made up of two ancillaries and miscellany
- Sample path analysis and distributions of boundary crossing times
- Su un teorema concernente le cosiddette statistiche sufficienti.
- Unbiased estimation of the common mean of a multivariate normal distribution
- Stage‐Wise Adaptive Designs
- Statistical Meta‐Analysis with Applications
- Sequential Methods and Their Applications
- Estimation of a Common Mean and Weighted Means Statistics
- An Interpretation of Completeness and Basu's Theorem
- On combining correlated estimators of the common mean of a multivariate normal distribution
- Gini Inequality Index
- Moments of Randomly Stopped Sums
- Bayes and Fiducial Equivariant Estimators of the Common Mean of Two Normal Distributions
- Linear Statistical Inference and its Applications
- Conditional Expectation and Unbiased Sequential Estimation
- Combining Unbiased Estimators
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