PUBLICATIONS
F. Thomas
Bruss
-------------------------------------------------------------------------------------------------
Articles in Scientific Journals
1. Bruss F.T. : Branching
Processes with Random Absorbing Processes
Journal
of Applied Probability, Vol. 15, pp 54-64,
(1978).
2. Bruss F.T. : How to Apply a
Medicament, if its Direct Efficiency is
Unknown.
Annales
de la SociŽtŽ Scientifique de Bruxelles, Vol. 93, Ser. I, pp 39-54,
(1979).
3. Bruss F.T. : A
Counterpart of the Borel-Cantelli Lemma.
Journal
of Applied Probability, Vol. 17, pp 1094-1101,
(1980).
4. Bruss F.T. : A Probabilistic Approach
to an Approximation Problem.
Annales
de la SociŽtŽ Scientifique de Bruxelles, Vol. 96, Ser. I, pp 91-97,
(1982)
5. Bruss F.T. : Patterns of Relative
Maxima in Random Permutations.
Annales
de la SociŽtŽ Scientifique de Bruxelles, Vol. 98, Ser. I, pp 19-28,
(1984)
6. Bruss F.T. :
A Unified Approach to a Class of Best Choice Problems
with an Unknown Number of Options.
Annals
of Probability, Vol. 12, pp
882-889,
(1984)
7. Bruss F.T. :
A
Note on Extinction Criteria for Bisexual Galton-Watson Processes.
Journal
of Applied Probability, Vol. 12, pp 915-919,
(1984).
8. Bruss F.T., H. Mahiat et M.
Pierard:
Sur
une fonction gŽnŽratrice du nombre de
records
d'une suite de variables alŽatoires de longueur alŽatoire.
Annales
de la SociŽtŽ Scientifique de Bruxelles,, Vol. 100, 4, pp 139-149,
(1986)
9. Bruss F.T. : Advances in Best Choice Modelling.
Operations
Research, DGOR, 1986, Springer Verlag, pp 639-647,
(1987).
10. Bruss F.T. and S.M.Samuels :
A Unified
Approach to a Class of Optimal Selection
Problems with an Unknown Number of Options.
Annals
of Probability, Vol. 15, pp 824-830,
(1987).
11. Bruss F.T. :
On
an Optimal Selection Problem of Cowan and Zabczyk.
Journal
of Applied Probability, Vol. 24, pp 918-928,
(1987)
12. Bruss F.T. :
Invariant
Record Processes and Applications to Best Choice Modelling.
Stochastic
Processes and Their Applications,
Vol.
30, No. 2, pp. 303-316,
(1988)
13. Bruss F.T. and J.B. Robertson : A Survey of the Linear Search Problem.
The Mathematical Scientist,
Vol. 13, No. 2, pp 75-89,
(1988)
14. Bruss F.T.
Une note sur des inŽgalitŽs pour
l'espŽrance de variables alŽatoires
majorŽes
ou minorŽes.
Annales
de la SociŽtŽ Scientifique de Bruxelles,, Vol. 104, No 1, pp 3-8,
(1990)
15. Bruss F.T., S.R. Jammalamadaka and X. Zhou :
On
an Interval Splitting Problem.
Statistics
and Probability Letters , Vol.
10, pp 321-324,
(1990)
16. Bruss F.T. and S.M
Samuels:
Conditions for
Quasi-Stationarity of the Bayes Rule in
Selection
Problems with an Unknown Number of Options.
Annals
of Probability , Vol. 18, No. 2, pp
877 - 886,
(1990)
17. Bruss F.T. and C.A.
O'Cinneide :
On
the Maximum and Its Uniqueness for
Journal
of Applied Probability, Vol. 27,
no. 3, pp 598 - 610,
(1990)
18. Bruss F.T. and L.C.G.
Rogers :
Pascal
Processes and Their Characterization.
Stochastic Processes
and Their Applications,
Vol
. 37, no. 2, pp 331 - 338,
(1991)
19. Bruss F.T. and J.B.
Robertson :
"Wald's
Lemma" for Sums of Order Statistics of i.i.d.
Advances
Applied Probability , Vol.
23, no. 3, pp 612 - 623,
(1991)
20. Bruss F.T. and L.C.G. Rogers :
Embedding
Optimal Selection Problems in a
Stochastic
Processes and Their Applications,
Vol. 38, pp 267 - 278,
(1991)
21. Bruss F.T.:
Optimal
Selection, Learning, and Machine Implementation.
Contemporary Mathematics (American
Mathematical Society), Vol. 125,
pp 3 - 35.
(1992)
22. Bruss F.T. and Ferguson T.S.:
Minimizing
the Expected Rank with
Journal of
Applied Probability , Vol. 30, No 3, pp 616-626.
(1993)
23. Bruss F.T.:
Minimax
Solutions for the Best Choice Problem with Random Freeze Times and a Random Number of Options.
Volume in honour of Simone Huyberechts,
Cahiers de CERO, Vol. 36, 57-64,
(1994)
24. Bruss F.T. :
Mathematiques
et Hasard
SCIENCES
ET HASARD,
Volume
spŽcial de la Fondation Lucia
Brouckre
Edition
FacultŽ des Sciences, pp 9-13.
(1995)
25. Bruss F.T.
The Fallacy of the Two Envelopes Problem.
The Mathematical Scientist,
Vol. 21, no. 2, pp 112-119,
(1996
)
26. Bruss F.T. and T.S. Ferguson:
Half-Prophets
and Robbins' Problem of
Minimizing the Expected
Rank with Full Information.
Springer
Lecture Notes in Statistics, Vol.
114 Bd I, pp 1-17,
(1996)
27. Bruss F.T. and T.S. Ferguson:
Multiple
Buying or Selling with Vector Offers.
Journal
of Applied Probability, Vol.34, no. 4, pp 959-973
(1997)
28. Bruss F.T.
On
the Fallacy of the Two-Envelopes-Problem
The Mathematical
Scientist, Vol. 23., No. 1, 60-62.
(1998)
29. Bruss F.T.
Quick
Solutions for Optimal Choice Problems in Real Time .
Stochastic
Models, Vol. 14, pp 241-264.
(1998)
30. Bruss F.T. Unerwartete Strategien
a)
MITTEILUNGEN DER DEUTSCHEN
MATHEMATIKER-VEREINIGUNG,
Heft
3/98, 6-9
(1998)
.
b)
DIE ZEIT, (1999)
31. Bruss F.T and G. Louchard
Sharp
Bounds for Winning Probabilities in the Competitive Rank Selection Problem
Journal
of Applied Probability, Letter to
the Editor, Vol 35, No 4 , 1007-1011.
(1998)
32. Bruss F.T., Drmota M. and G.Louchard
The Complete Solution of
the Competitive Rank Selection
Problem
Algorithmica,
Vol. 22, No.4, 413-447.
(1998)
33. Bruss F.T. and Bojkova M.
On Waiting Times to Populate an Environment and Questions of
Statistical Inference .
Journal
of Applied Probability, Vol. 36,
No. 1, 261-267.
(1999)
34. Bruss F.T.
Eine
Strategie fuer Anspruchsvolle.
DIE
WELT, 6 May 2000
Wissenschaft,
p. 33 ff
(2000)
35. Bruss F.T.
Der Ungewissheit ein
Schnippchen schlagen
SPEKTRUM
DER WISSENSCHAFT
(German
Edition of SCIENTIFIC AMERICAN)
Year
2000, Volume 6, pp 106-107.
(2000)
36. Bruss F.T. and Rueschendorf L.
The
Switching Problem and Conditionally Specified Distributions
The Mathematical Scientist, Vol. 25, 46-53.
(2000).
37.Bruss F.T. and D. Paindaveine. Selecting
a Sequence of Last Successes
in Independent Trials.
Journal of Applied Probability, Vol 37, 389-399
(2000)
38. Bruss F.T. Sum
the Odds to One and Stop.
Annals
of Probability, Vol. 28, No
3, 1384-1391.
(2000).
39. Bruss F.T. und
L. Rueschendorf: Wie
schnell verfliegt die Zeit?
SPEKTRUM DER WISSENSCHAFT
(German
Edition of SCIENTIFIC AMERICAN)
Year
2001, Volume 5, pp 110-112.
(2001)
40. Bruss
F.T.: MathematischeStrategien
fuer den Alltagsgebrauch
DIE
WELT, 17 May 2001, p 35.
(2001)
41. Bruss F.T. and F.
Delbaen.
Optimal
Rules for the Sequential Selection of Monotone Subsequences of Maximum Expected Length.
Stochastic
Processes and Their Applications
Vol 96
(200), pp 313-342.
(2001)
42. Bruss F.T. and
T. S. Ferguson
High
Risk and Competitive Investment Problems.
Annals
of Applied Probability.
Vol.
12, No 4, 1202-1226.
(2002)
43. Bruss F.T. ,
Louchard. G. and Turner J.M.
Advances
in Applied Probability
Vol.
35, No 1, 278-294,
(2003)
pdf/ps Version On the N-tower problem.
44. Bruss F.T. and Louchard G.
Optimal
Stopping on Patterns in Strings Generated by Random Sources
Journal
of Applied Probability,
Vol.
40, No 1, 49-72.
(2003)
pdf/ps Version Optimal Stopping on Patterns É
45. Bruss, F. T. A Note on Bounds
for the Odds-Theorem of Optimal Stopping.
Annals
of Probability, Vol 31, No 4, 1859-1861
(2003))
46.
Bruss, F.T.
a)
Playing
a trick on uncertainty.
NEWSLETTER OF THE EUROPEAN
MATHEMATICAL SOCIETY
Issue
50, pages 5 and 7-8.
(2003).
b)
Chinese title
Translation of 46 a) into
Chinese
by Prof. S. R.Yang, Taiwan National
University
SCIENCE
MONTHLY. (Chinese)
Volume
7, pp. 564-567.
(2004)
c)
Japanese title
Translation
of 46 a) into Japanese
Translated
by Prof. Makoto Maejima,
Keio
University, Tokyo
SUKAGO
SEMINAR
Volume
11, pp. 60-63.
(2004)
d)
Como
jugarsela a la incertidumbre
Translated
into Spanish, by Prof. Adolfo Quir—s
Departamento de Matem‡ticas, Universidad Aut—noma de Madrid
SUMA, Vol. 47, pp. 7-10.
(2004)
e)
Jouer un tour a lÕincertitude.
Translation
of 46 a) into French
by
Prof. Kirone Mallick, UniversitÂŽ Paris X
GAZETTE DES
MATHEMATICIENS, No 105,
juillet 2005, pp. 65-68.
(2005)
f)
Jak przechytrzy e niepewnosci
Guest
author Article (in Polish ;
translation by
by
Prof. K. Szajowski, University of Wroclaw,
with
comments by Marci Malawski.
DECYZJE,
Nr. 4, pp 61-70.
(2005)
47. Bruss, F.T. and
R. Gruebel
New Results on the Problem of a
Unique Maximum in Random
Samples of I.I.D. Random Variables,
Vol.
13, No 4, pages 1252-1263
(2003)
48. Swan, Y and Bruss, F.T.
The
Mathematical Scientist
Volume
29, pp 21-32
(2004)
49. Bruss F.T.
SPEKTRUM
DER WISSENSCHAFT (German Edition of SCIENTIFIC AMERICAN)
May
2004, pp. 102-104.
(2004)
50. Bruss F.T. and F.
Delbaen.
A
Central Limit Theorem for the Optimal Selection Process for Monotone
Subsequences of Maximum Expected Length.
Stochastic
Processes and Their Applications.
Vo.
144, pp 287-311
(2004)
51. Bruss, F.T.
What
is known about RobbinsÕ Problem?
Journal
of Applied Probability. Vol. 42, no. 1, pp. 108-120.
(2005)
52. Bruss, F.T.
Die
Mathematik politisch-strategischen Denkens
DIE
WELT.
20-12-2005,
Wissenschaft 2/3
(2005)
53. Bruss, F.T.
(a) Die Kunst der richtigen
Entscheidung
SPEKTRUM DER WISSENSCHAFT
(German Edition of SCIENTIFIC AMERICAN)
June
Volume 2005, Editorial p. 3,
article pp. 78-84.
(2005)
(b)
Le bon choix RaisonnŽ
French
version based on (a)
POUR LA
SCIENCE (French Edition of SCIENTIFIC AMERICAN)
September
Volume 2005, Editorial p. 1, article pp. 56-61.
(2005)
(
c ) Translation of (b) into Arabic
by
Prof. Boubaker-Khaled SADALLAH
Foundation for Advancement of Science
AL OLOOM (Arabic Edition of
SCIENTIFIC AMERICAN) ,
November
Vol. 11, 2005, p 3, p 8, article
pp. 74-80.
(2005)
(d) The Art of a Right
Decision : Why Decision
Makers
May Want to Know the Odds-Algorithm.
English
version of (a), Feature article + addendum
NEWSLETTER OF THE EUROPEAN
MATHEMATICAL SOCIETY
Issue
62, pp 15-20,
(2006)
54. Y. Swan and Bruss, F.T.
A
Matrix-Analytic Approach to the n-Player ruin problem.
Journal
of Applied Probability, Vol. 43, No 3, pp 755-766.
(2006)
55. Bruss, F.T.
Der Wyatt-Earp Effekt oder die
betoerende Macht kleiner Wahrscheinlichkeiten
SPEKTRUM DER WISSENSCHAFT (German Edition of SCIENTIFIC AMERICAN),
MarchVolume
2007
(2007)
56. Bruss, F.T.
Le
pouvoir inconnu dÕun modle mathŽmatique
POUR LA
SCIENCE (French Edition of SCIENTIFIC AMERICAN)]
Vol.
August, 2007, pp 86-90.
(2007)
57. Bruss, F.T, Louchard, G. and Ward, M.
Injecting
unique minima into random sets and applications to Inverse Auctions.
Submitted
for publication
(2007)
58. Bruss F.T. and
Y. Swan
The
Poisson-embedded version of RobbinsÕ selection problem
Submitted for publication
(2007)
59. Bruss F.T.
(Series
of articles in DIE WELT at the occasion of
Jahr
der Mathematik 2008 (Year of
Mathematics-2008-Germany)
59-1
Eine Prognose, DIE
WELT, 4 Feb. 2008
59-2 Stategische Koaltionen , DIE
WELT, 11 Feb. 2008
59-3 Mathematik fuer Wahlkaempfer , DIE
WELT, 18 Feb. 2008
59-4 Intuition und Wahrheit , DIE
WELT, 25 Feb. 2008
60. Bruss F.T. and
G. Louchard
The
Odds-algorithm based on sequential updating and its performance
In
preparation :
61. Bruss F.T.
Optimal
Stopping on Mixed Constraints
62. Bruss F.T. and
Van Lokeren M
Theo
dds-algorithm for unknown odds.
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Other refereed articles
O-1 Bruss, F.T.
On
BenfordÕs Law
MITTEILUNGEN DER DEUTSCHEN MATHEMATIKER-VEREINIGUNG
Playing a trick on uncertainty.
This
article is a more detailed version of 46a) for B-Stat-News.
NEWSLETTER OF THE BELGIAN STATISTICAL SOCIETY
Number 30, pp 7-14.
(2004)
O-3 Bruss, F.T.
Homage to the Abel
Prize – Homage to Norway
NEWSLETTER
OF THE EUROPEAN MATHEMATICAL SOCIETY
June
2005, Issue 56, pp 9-12
(2005)
O-4 Bruss, F.T.
Jouer
un tour ˆ lÕincertitude.
Adaptation
of article 46 e) for a different
readership
PHOSPHORE
ET SCIENCE
September
Volume 2005, pp 15-18,
(2005)
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NB: Unrefereed articles
and reports, conference proceedings, as well as interviews
published in newspapers or broadcasted on radio and/or
television are not listed here.
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Lecture Notes:
L-1. Bruss F.T. et Hardy A. : ProbabilitŽs- Recueil
d'exercices
Candidature
en sciences mathŽmatiques.
Librairie
des Sciences, FacultŽs Universitaires Notre-Dame de la Paix
(1982)
; Revised edition (1986).
L-2. Bruss F.T. : Processus
Stochastiques
Licence
en sciences mathŽmatiques.
Librairie
des Sciences Notre-Dame de la Paix.
(1986)
L-3. Bruss F.T. Analyse sŽquentielle
2-me
Licence en sciences mathŽmatiques
(1996)
L-4. Bruss F.T. MathŽmatiques
GŽnŽrales.
Part I :
Candidature en sciences biologiques, gÂŽologiques, gÂŽographiques, et
pharmaceutiques et
premiÂre ÂŽpreuve des
ingÂŽnieurs en sciences agronomiques.
UniversitŽ
Libre de Bruxelles, FacultŽ des Sciences.
(1993-1995;
rÂŽvision 1996, 2nd revision 2001)
Part
II Candidature en sciences
biologiques
UniversitŽ
Libre de Bruxelles, FacultŽ des Sciences.
(manuscrit
1995; rŽvision 1999, 2nd rŽvision 2001)
L-5. Bruss F.T. Principles of
Strategic Thinking
UniversitŽ
Libre de Bruxelles, FacultŽ des Sciences.
(1993, revised 2003)
Books
1.
Bruss F. T., Ferguson T.S.
and S.M.Samuels (Editors)
Strategies
for Sequential Search and Selection in Real Time.
American Mathematical Society,
Selected
Papers
Vol.
125, p i-vii,1-248.
(1992)
2. Bruss F.T. and L. Le Cam (Editors)
Optimal
Stopping, Games, Probability and Statistics.
Lecture
Notes of the Institue of Mathematical Statistics - Monograph series.
Volume
35, pages i-xvi, 1-324.
(2000)
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In
preparation :
[[3. ((Bruss F.T.: Optimal Selection
Strategies,.
In
preparation under contract with Wiley and Sons, about 350 pages))]]