Fixed–size confidence regions for the mean vector of a multinormal distribution
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Publication:3769788
DOI10.1080/07474948608836097zbMath0632.62050OpenAlexW2057848287MaRDI QIDQ3769788
J. S. al-Mousawi, Nitis Mukhopadhyay
Publication date: 1986
Published in: Sequential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/07474948608836097
simulationsmean vectorsecond-order expansionsmultinormal distributionmodified two-stage procedurefixed size confidence regionstwo- stage procedureelliptic confidence regions
Estimation in multivariate analysis (62H12) Parametric tolerance and confidence regions (62F25) Sequential estimation (62L12)
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Uses Software
Cites Work
- Unnamed Item
- A consistent and asymptotically efficient two-stage procedure to construct fixed width confidence intervals for the mean
- Sequential approach to simultaneous estimation of the mean and variance
- Asymptotic theory of triple sampling for sequential estimation of a mean
- Second order approximations for sequential point and interval estimation
- On an Extension of Stein's TwoSample Procedure to the MultiNormal Problem
- On estimating the difference of location parameters of two negative exponential distributions
- On two-stage james-stein sstimators
- Fixed Size Simultaneous Confidence Region for Mean Vector and Dispersion of a Multinormal Distribution
- Sequential point estimation of the mean when the distribution is unspecified
- Sequential Estimation of the Mean of a Multinormal Population
- The exact approximation order in the central-limit-theorem for random summation
- Sequential Estimation of Location Parameter in Exponential Distributions
- The Performance of a Sequential Procedure for the Fixed-Width Interval Estimation of the Mean
- On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean
- A Two-Sample Test for a Linear Hypothesis Whose Power is Independent of the Variance
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