Testing hypotheses about the common mean of normal distributions

DOI10.1016/0378-3758(84)90022-3zbMath0529.62023OpenAlexW2073894891MaRDI QIDQ787614

Arthur Cohen, Harold B. Sackrowitz

Publication date: 1984

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(84)90022-3

zbMATH Keywords

tablescommon meanimproper priorsGraybill-Deal estimatoroverviewapproximation to likelihood ratio testasymptotically Bahadur optimalconvex acceptance sectionsFisher combined testindependent normal distributionst-tests

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Monte Carlo methods (65C05) Admissibility in statistical decision theory (62C15)

Related Items (15)

Comparison of Local Powers of Some Exact Tests for a Common Normal Mean with Unequal Variances ⋮ On combining independent tests in linear models ⋮ On exact confidence intervals for the common mean of several normal populations ⋮ Hypothesis testing and interval estimation for quantiles of two normal populations with a common mean ⋮ An exact method for making inferences on the common location parameter of several heterogeneous exponential populations: complete and censored data ⋮ Point and interval estimation of powers of scale parameters for two normal populations with a common mean ⋮ Bayesian inference for the common location parameter of several shifted-exponential populations ⋮ Generalized Inferences on the Common Mean in MANOVA Models ⋮ Recovery of interblock information: An update ⋮ Testing on the common mean of several normal distributions ⋮ Inferences on the common mean of several inverse Gaussian populations ⋮ On combining correlated estimators of the common mean of a multivariate normal distribution ⋮ Inferences on the common mean of several normal populations under heteroscedasticity ⋮ Inferences on the Common Mean of Several Normal Populations Based on the Generalized Variable Method ⋮ Exact confidence intervals for a common location of several truncated exponentials

Cites Work

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• Estimation of a common mean and recovery of interblock information
• Point and confidence estimation of a common mean and recovery of interblock information
• Hypothesis testing for the common mean and for balanced incomplete blocks designs
• Admissibility implications for different criteria in confidence estimation
• Estimation of location parameters from two linear models under normality
• Small samples confidencce intervals on common mean of two normal distributions variances
• Admissible Tests in Multivariate Analysis of Variance
• Rates of Convergence of Estimates and Test Statistics
• Combining Unbiased Estimators

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