**Financial support through the following projects:**

UID/MAT/00297/2019

UID/MAT/00297/2013

PEst-OE/MAT/UI0297/2014

PEst-OE/MAT/UI0297/2011

Title | B-matrices and its Applications to Linear Models |

Publication Type | Conference Paper |

Year of Publication | 2015 |

Authors | Carvalho F, Covas R |

Editor | Simos TE, Tsitouras C} |

Conference Name | PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) |

Publisher | AMER INST PHYSICS |

Conference Location | 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA |

ISBN Number | 978-0-7354-1287-3 |

Keywords | Analysis of variance, Inference, Jordan algebras, Linear models |

Abstract | {A new class of matrices is introduced, with interesting properties. Their use can be of most importance and the discussion of a possible use in statistical inference is presented. Namely the use in a class of models, the ones with mean driven balance, which are also defined. We point out the relevance of such models, when dealing with mixed models and the approach, for inference proposes, is the use of commutative Jordan algebras of symmetric matrices. The properties of symmetric B-matrices take a decisive roll in this approach.} |

DOI | 10.1063/1.4912417 |