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Original Articles

Jordan algebras, generating pivot variables and orthogonal normal models

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Pages 305-326 | Received 01 May 2006, Published online: 28 May 2013

References

  • R. Covas Inferência semi-bayesiana e modelos de componentes de variância Master’s degree thesis in Statistics and Optimization FCT/UNL 2003
  • M. Fonseca J. T. Mexia R. Zmyślony Exact distributions for the generalized F statistic Discussiones Mathematicae – Probability and Statistics 2002 22 37 51
  • M. Fonseca J. T. Mexia R. Zmyślony Estimators and tests for variance components in cross nested orthogonal models Discussiones Mathematicae – Probability and Statistics 2003 23 173 201
  • M. Fonseca J. T. Mexia R. Zmyślony Estimating and testing of variance components: an application to a grapevine experiment Bio-metrical Letters 2003 40 1 7
  • J. Garcia Laplace and Fourier transforms in risk theory Ph.D. Thesis Lisbon Technical University 2002
  • P. Jordan J. von Neumann E. P. Wigner On an algebraic generalization of the quantum mechanical formalism Ann. Math. II. Ser 1934 35 29 64
  • O. Kallenberg Foundations of Modern Probability Springer 1997
  • A. I. Khuri T. Mathew B. K. Sinha Statistical Tests for Mixed Linear Models Wiley 1997
  • K. Krishnamoorthy T. Mathew One-sided tolerance limits in balanced and unbalanced one-way random models based in generalized confidence intervals, to appear JASA 2004
  • E. L. Lehmann G. Casella Theory of Point Estimation , 2nd edition Springer 1998
  • M. Loéve Probability Theory , 2nd D. Van Nostrand 1960
  • J. D. Malley 1994 Statistical Applications of Jordan Algebras Springer- Verlag
  • J. T. Mexia Controlled heteroscedasticity, quotient vector spaces and F tests for hypothesis on mean vectors Trabalhos deInvestigação 1 FCT/UNL 1989
  • J. T. Mexia 1995 Introduçãao à Inferência Estatística Linear Lusófonas (editor).
  • A. Michalski R. Zmyślony Testing hypothesis for variance components in mixed linear models Statistics 1996 27 297 310
  • A. Michalski R. Zmyślony Testing hypothesis for linear functions of parameters in mixed linear models Tatra Mt. Math. Publ 1999 17 103 110
  • C. Nunes 2004 F tests and selective F tests in orthogonal mixed linear models Ph.D. thesis, Beira Interior Univ
  • H. Scheffé The Analysis of Variance John Wiley & Sons 1959
  • R. S. Searle G. Casella C. E. McCullock Variance Components John Wiley & Sons 1992
  • G. A. F. Seber 1980 The Linear Hypothesis: A General Theory , 2nd edition, Charles Grifith & Co
  • J. Seely Linear spaces and unbiased estimation Ann. Math. Stat 1970 41 1725 1734
  • J. Seely Quadratic subspaces and completeness Ann. Math. Stat 1971 42 710 721
  • J. Seely G. Zyskind Linear spaces and minimum variance unbiased estimation Ann. Math. Stat 1971 42 691 703
  • T. A. Severini Likelihood Methods in Statistics Oxford University Press 2000
  • S. D. Silvey Statistical Inference reprinted Chapman & Hall 1975
  • S. Weerahandi Generalized confidence intervals J. Am. Stat. Assoc 1993 88 899 905
  • S. Weerahandi Exact Statistical Methods for Data Analysis 2nd print Springer-Verlag 1996
  • D. Williams Probability with Martingales Cambridge University Press 1991
  • V. Witkovský Computing the distribution of a linear combination of inverted gamma variables Kybernetika 2001 37 79 90
  • L. Zhou T. Mathew Some tests for variance components using generalized P values Technometrics 1994 36 394 402

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