56
Views
47
CrossRef citations to date
0
Altmetric
Original Articles

Hypothesis tests for normal means constrained by linear inequalities

, &
Pages 2809-2833 | Published online: 18 Feb 2011

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (14)

Mary C. Meyer & Xiyue Liao. (2022) Estimation and inference for partial linear regression surfaces using monotone warped-plane splines. Journal of Nonparametric Statistics 34:1, pages 1-21.
Read now
Konrad Nosek & Zbigniew Szkutnik. (2014) Change-point detection in a shape-restricted regression model. Statistics 48:3, pages 641-656.
Read now
MaryC. Meyer. (2013) A Simple New Algorithm for Quadratic Programming with Applications in Statistics. Communications in Statistics - Simulation and Computation 42:5, pages 1126-1139.
Read now
Assam Pryseley, Koen Mintiens, Katia Knapen, Yves Van der Stede & Geert Molenberghs. (2010) Estimating precision, repeatability, and reproducibility from Gaussian and non- Gaussian data: a mixed models approach. Journal of Applied Statistics 37:10, pages 1729-1747.
Read now
Geert Molenberghs & Geert Verbeke. (2007) Likelihood Ratio, Score, and Wald Tests in a Constrained Parameter Space. The American Statistician 61:1, pages 22-27.
Read now
Francesco Bartolucci, Antonio Forcina & Valentino Dardanoni. (2001) Positive Quadrant Dependence and Marginal Modeling in Two-Way Tables With Ordered Margins. Journal of the American Statistical Association 96:456, pages 1497-1505.
Read now
Renjin Tu. (1999) Comparison between confidence intervals of linear regression models with and without restrication. Communications in Statistics - Theory and Methods 28:12, pages 2879-2898.
Read now
Valentino Dardanoni & Antonio Forcina. (1998) A Unified Approach to Likelihood Inference on Stochastic Orderings in a Nonparametric Context. Journal of the American Statistical Association 93:443, pages 1112-1123.
Read now
MichaelA. Proschan & DeanA. Follmann. (1997) A Restricted Test of Circadian Rhythm. Journal of the American Statistical Association 92:438, pages 717-724.
Read now
Dean Follmann. (1996) A Simple Multivariate Test for One-Sided Alternatives. Journal of the American Statistical Association 91:434, pages 854-861.
Read now
Hari Mukerjee & Renjin Tu. (1995) Order-Restricted Inferences in Linear Regression. Journal of the American Statistical Association 90:430, pages 717-728.
Read now
Xingye Lei & F.T Wright. (1994) Testing for and against a concavity restriction with normal errors. Communications in Statistics - Simulation and Computation 23:3, pages 711-726.
Read now
J.A. Menéndnez, C. Rueda & B. Salvador. (1992) Testing non-oblique hypotheses. Communications in Statistics - Theory and Methods 21:2, pages 471-484.
Read now
Bahadur Singh & F. T. Wright. (1989) The power functions of the likelihood ratio tests for a simply ordered trend in normal means. Communications in Statistics - Theory and Methods 18:7, pages 2351-2392.
Read now

Articles from other publishers (33)

Qiyang Han. (2023) Noisy linear inverse problems under convex constraints: Exact risk asymptotics in high dimensions. The Annals of Statistics 51:4.
Crossref
Qiyang Han, Bodhisattva Sen & Yandi Shen. (2022) High-dimensional asymptotics of likelihood ratio tests in the Gaussian sequence model under convex constraints. The Annals of Statistics 50:1.
Crossref
Yuting Wei, Martin J. Wainwright & Adityanand Guntuboyina. (2019) The geometry of hypothesis testing over convex cones: Generalized likelihood ratio tests and minimax radii. The Annals of Statistics 47:2.
Crossref
Mary C. Meyer. (2018) A Framework for Estimation and Inference in Generalized Additive Models with Shape and Order Restrictions. Statistical Science 33:4.
Crossref
Geert Verbeke, Geert Molenberghs, Steffen Fieuws & Samuel Iddi. 2018. Mixed-Effects Regression Models in Linguistics. Mixed-Effects Regression Models in Linguistics 11 28 .
Bodhisattva Sen & Mary Meyer. (2017) Testing Against a Linear Regression Model Using Ideas from Shape-Restricted Estimation. Journal of the Royal Statistical Society Series B: Statistical Methodology 79:2, pages 423-448.
Crossref
Dean Follmann. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 4 .
Jiwen Wu, Mary C. Meyer & Jean D. Opsomer. (2015) Penalized isotonic regression. Journal of Statistical Planning and Inference 161, pages 12-24.
Crossref
Dean A. Follmann. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Richard Dykstra & Hammou El Barmi. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Cristina Rueda. (2013) Degrees of freedom and model selection in semiparametric additive monotone regression. Journal of Multivariate Analysis 117, pages 88-99.
Crossref
Mary C. Meyer & Jianqiang C. Wang. (2012) Improved power of one-sided tests. Statistics & Probability Letters 82:8, pages 1619-1622.
Crossref
Dean A. Follmann. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Richard Dykstra & Hammou El Barmi. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Yiliang Zhu. (2005) Dose–time–response modeling of longitudinal measurements for neurotoxicity risk assessment. Environmetrics 16:6, pages 603-617.
Crossref
Dean A. Follmann. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Richard Dykstra & Hammou El Barmi. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Arthur Cohen & Harold B. Sackrowitz. (2008) A discussion of some inference issues in order restricted models. Canadian Journal of Statistics 32:2, pages 199-205.
Crossref
Geert Molenberghs & Geert Verbeke. 2004. Explanatory Item Response Models. Explanatory Item Response Models 111 153 .
Geert Verbeke & Geert Molenberghs. (2003) The Use of Score Tests for Inference on Variance Components. Biometrics 59:2, pages 254-262.
Crossref
Dan Nettleton. (2002) Testing for ordered means in a variation of the normal mixture model. Journal of Statistical Planning and Inference 107:1-2, pages 143-153.
Crossref
Alexander D. Logvinenko, Yuri N. Tyurin & Martin Sawey. (2002) Equidiscrimination Contours around an Achromatic Colour Are Convex but Not Balanced. Journal of Mathematical Psychology 46:4, pages 486-509.
Crossref
Mervyn J. Silvapulle & Pranab K. Sen. 2001. Constrained Statistical Inference. Constrained Statistical Inference 469 524 .
Arthur Cohen, J.H.B Kemperman & Harold B Sackrowitz. (2000) Properties of Likelihood Inference for Order Restricted Models. Journal of Multivariate Analysis 72:1, pages 50-77.
Crossref
Dan Nettleton. (2008) Order‐restricted hypothesis testing in a variation of the normal mixture model. Canadian Journal of Statistics 27:2, pages 383-394.
Crossref
Manabu Iwasa. (1998) Directional monotonicity properties of the power functions of likelihood ratio tests for cone-restricted hypotheses of normal means. Journal of Statistical Planning and Inference 66:2, pages 223-233.
Crossref
Bhaskar Bhattacharya. (2007) Tests of Bivariate Symmetry with a One‐sided Alternative in the Analysis of Variance. Biometrical Journal 38:7, pages 791-808.
Crossref
Xiaomi Hu & F. T. Wright. (1994) Likelihood ratio tests for a class of non-oblique hypotheses. Annals of the Institute of Statistical Mathematics 46:1, pages 137-145.
Crossref
K. O. Kortanek. (1993) Semi-infinite programming duality for order restricted statistical inference models. ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research 37:3, pages 285-301.
Crossref
Cristina Rueda Sabater. (1991) Tests lineales para contrastes con hipotesis oblicuasLineal test for testing oblique hypotheses. Trabajos de Estadistica 6:1, pages 107-117.
Crossref
Chu-In Charles Lee, Tim Robertson & F. T. Wright. (1989) On the testing of marginal homogeneity with a one-sided alternative in the analysis of variance. Annals of the Institute of Statistical Mathematics 41:1, pages 149-167.
Crossref
Heinz Kaufmann. 1989. Conceptual and Numerical Analysis of Data. Conceptual and Numerical Analysis of Data 116 122 .
Ning-Zhong SHI. (1988) TESTING THE NULL HYPOTHESIS THAT A NORMAL MEAN VECTOR LIES IN THE POSITIVE ORTHANT. Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics 42:2, pages 109-122.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.