Pedro Bruno Teodoro Braumann

Founding member of the Portuguese Statistical Society

Pedro Bruno Teodoro Braumann

Pedro Bruno Teodoro Braumann was a prominent figure in the Portuguese statistical community, with significant contributions in the areas of Probability and Statistics, particularly in Measure Theory and Probability Theory.


Pode ver aqui um Breve Curriculum Vitae

This website provides a facsimile version of the three volumes of the work "Elements of Measure Theory with Relevance to Probability Theory," which was printed in 1969 by the Universities of Luanda and Lisbon but is no longer publicly available. This work, whose scientific and didactic quality can benefit any scholar of the subject and any student, in addition to a rigorous and systematic exposition (including little-known and even unprecedented aspects) of general theory, studies the law of large numbers and the convergence of sums of independent random variables, emphasizing the new developments that the author's research work has brought to these areas.

The publication of this work by SPE was only made possible thanks to the support of the author's children and grandchildren and the authorization of Agostinho Neto University and the University of Lisbon. We are deeply grateful to all of them. In addition to the authorization, these Universities and their respective Rectors, Professor Pedro Magalhães and Professor Luís Manuel dos Anjos Ferreira, wisely decided to join in and thus enhance this tribute.

Excerpt from the communications of the Magnificent Rectors:
Professor Pedro Magalhães
Professor Luís Manuel dos Anjos Ferreira
“(…) we welcome the initiative to honor Professor Pedro Bruno Teodoro Braumann for his valuable academic and scientific contribution in Angola and Portugal. Accordingly, we are in favor of associating Agostinho Neto University with the dissemination of Professor Pedro Braumann's work on the official website of the Portuguese Statistical Society. (…)”
“(…) The answer couldn’t be simpler: the University of Lisbon feels very honored to be able to contribute to the dissemination of the work and personality of Professor Pedro Braumann. We are authorized to make the work of Professor Pedro Bruno Teodoro Braumann available on the official SPE website. (…)”


Facsimile of the 3 volumes of the work

Elements of Measure Theory with Relevance to Probability Theory

(You can select and thus access or download Parts A, B, and C that interest you.)


Pedro Bruno Teodoro Braumann. Elementos da Teoria da Medida com Relevo para a Teoria da Probabilidade, Parte A, Fascículos 1º e 2º.
Universities of Luanda and Lisbon, Nova Lisboa (now Huambo) 1969, p. vi+356.
Pedro Bruno Teodoro Braumann. Elementos da Teoria da Medida com Relevo para a Teoria da Probabilidade, Parte B – Constantes Assintóticas e a Lei Fraca dos Grandes Números.
Universities of Luanda and Lisbon, Nova Lisboa (now Huambo) 1969, p. xii+74.

Pedro Bruno Teodoro Braumann. Elementos da Teoria da Medida com Relevo para a Teoria da Probabilidade, Parte C – Limites de Somas de Variáveis Casuais Independentes.
Universities of Luanda and Lisbon, Nova Lisboa (now Huambo) 1969, p. x+186.


Other works by Pedro Bruno Teodoro Braumann

Pedro Bruno Teodoro Braumann. Works by Pedro Bruno Teodoro Braumann. Contributions in Various Branches of Mathematics  (organized by: Carlos A. Braumann, João Tiago Mexia and Manuel Esquível). Nova.FCT Editorial, 2018, xxii+764 pages, ISBN: 978-989-99528-4-3

  • This collection contains works not published in book form, that is, articles published by the author (scientific articles, doctoral thesis, popular science articles, etc.).
  • It is a tribute from the Faculty of Sciences and Technology of the Nova University of Lisbon.
  • For information, a brief description, and to potentially purchase the book, please see this link .
  • Courtesy of Nova.FCT Editorial, you can also view the front matter (includes Preface, detailed Index of works in the collection, CV and other information) via this link .
  • We are grateful to Nova.FCT Editorial for making these elements and the cover available for use.


Pedro Bruno Teodoro Braumann.   Measure Theory and Probability, Part I: Set Algebra . Calouste Gulbenkian Foundation (University Manuals Series), Lisbon, 1987, xxiv+376 pages

Cover: We are grateful for the courtesy of the Calouste Gulbenkian Foundation.

This work is available online for consultation and download on the Calouste Gulbenkian Foundation website via this link .


In addition to honoring the legacy of Professor Pedro Braumann, the Brazilian Statistical Society is pleased to make available the poster that Carlos Braumann prepared in tribute to his father. This work was presented during the tribute held by the SPE in 2013. The poster can be viewed here