N. Balakrishnan
Professor of Statistics
Department of Mathematics and Statistics
McMaster University
Research Activities
Professor Balakrishnan has been actively involved in research
work in diverse areas of Statistics, and has made significant
contributions to many areas including Models and Analysis of Medical and
Lifetime Data, Life-Testing and Reliability, Order Statistics, Robust
Inference, Distribution Theory, Multivariate Distribution Theory,
Characterization Theory, Inferential Methods, Industrial Statistics,
Nonparametric Inference, Outliers, Multivariate Analysis, Bayesian and
Empirical Bayesian Inference, Combinatorial Applications to Probability
and Statistics, Record Values and Processes, Theory of Runs and Scans,
Waiting Time Problems, Ranked Set Sampling, and Statistics in Finance.
Among his publications are the following five
major papers:
(a) New multi-sample nonparametric tests for panel count data (Co-authored
with X. Zhao), Annals of Statistics (2008, to appear).
(b) Progressive censoring methodology: An appraisal, Test, 16 (2007), pp.
211296.
(c) Permanents, order statistics, outliers, and robustness, Revista
Matematica Complutense,20 (2007), pp. 7107.
(d) Analyzing unreplicated factorial experiments: A review and some new
proposals,Statistica Sinica, 8 (1998), pp. 141.
(e) Order statistics from non-identical exponential random variables and
some applications, Computational Statistics & Data Analysis, 18 (1994),
pp. 203253.
In addition to writing numerous research papers in many journals,
Professor Balakrishnan has also authored and edited several books and
volumes. Over the years, these have received good reviews and several
citations in the literature.
Books Authored
Robust Inference (Co-authored with M.L. Tiku and W.Y. Tan),
Marcel Dekker, New York, 1986 (321 pages).
Relations, Bounds and Approximations for Order Statistics (Co-authored
with B.C. Arnold), Springer-Verlag, New York, 1989 (173 pages). Order
Statistics and Inference: Estimation Methods (Co-authored with A.C.
Cohen), Academic Press, San Diego, 1991 (371 pages).
A First Course in Order Statistics (Co-authored with B.C. Arnold and
H.N. Nagaraja), John Wiley & Sons, New York, 1992 (279 pages).
Continuous Univariate Distributions - Volume 1, Second edition (Co-authored
with N.L. Johnson and S. Kotz), John Wiley & Sons, New York, 1994 (756
pages).
Continuous Univariate Distributions - Volume 2, Second edition (Co-authored
with N.L. Johnson and S. Kotz), John Wiley & Sons, New York, 1995 (719
pages).
CRC Handbook of Tables for the Use of Order Statistics in Estimation (Co-authored
with H.L. Harter), CRC Press, Boca Raton, Florida, 1996 (669 pages).
Discrete Multivariate Distributions (Co-authored with N.L. Johnson and
S. Kotz), John Wiley & Sons, New York, 1997 (299 pages).
CRC Handbook of Tables for Order Statistics from Inverse Gaussian
Distributions with Applications (Co-authored with W.W.S. Chen), CRC
Press, Boca Raton, Florida, 1997 (688 pages).
Records (Co-authored with B.C. Arnold and H.N. Nagaraja), John Wiley &
Sons, New York, 1998 (312 pages).
Tables for the Use of Range and Studentized Range in Tests of
Hypotheses (Co-authored with H.L. Harter), CRC Press, Boca Raton,
Florida, 1998 (663 pages).
Handbook of Tables for Order Statistics from Lognormal Distributions
with Applications (Coauthored with W.W.S. Chen), Kluwer Academic
Publishers, Boston, 1999 (868 pages).
Continuous Multivariate Distributions, Vol. 1, Second edition
(Co-authored with S. Kotz and N.L. Johnson), John Wiley & Sons, New
York, 2000 (722 pages).
Progressive Censoring: Theory, Methods and Applications (Co-authored
with R. Aggarwala), Birkh¨auser, Boston, 2000 (248 pages).
Runs and Scans with Applications (Co-authored with M.V. Koutras), John
Wiley & Sons, New York, 2002 (452 pages).
A Primer on Statistical Distributions (co-authored with V.B. Nevzorov),
John Wiley & Sons, New York, 2003 (305 pages).
Extreme Value and Related Models with Applications in Engineering and
Science (Co-authored with E. Castillo, A.S. Hadi and J.M. Sarabia), John
Wiley & Sons, Hoboken, New Jersey, 2005 (362 pages).
Precedence-Type Tests and Applications (Co-authored with H. K. T. Ng),
John Wiley & Sons, Hoboken, New Jersey, 2006 (290 pages).
A First Course in Order Statistics (Co-authored with B.C. Arnold and
H.N. Nagaraja), Classic Edition, SIAM Publishers, Philadelphia, 2008
(279 pages).
Continuous Bivariate Distributions: Theory and Methods, Second Edition
(Co-authored with T. P. Hutchinson and C. D. Lai), Springer-Verlag, New
York, 2008 (to appear).
An Introduction to Lifetime
Data Analysis (Co-authored with C. Caroni), Birkh¨auser, Boston, 2008 (to
appear).
Volumes Edited
Handbook of the Logistic Distribution, Marcel Dekker, New
York, 1992 (601 pages).
Recent Advances in Life-Testing and Reliability, CRC Press, Boca Raton,
1995 (632 pages).
The Exponential Distribution: Theory, Methods and Applications (Co-edited
with A.P. Basu), Gordon and Breach, Newark, 1995 (638 pages).
Advances in the Theory and Practice of Statistics A Volume in Honor
of Samuel Kotz (Coedited with N.L. Johnson), John Wiley & Sons, New York,
1997 (629 pages).
Advances in Combinatorial Methods and Applications to Probability and
Statistics, Birkh¨auser, Boston, 1997 (562 pages).
Advances in Statistical Decision Theory and Applications (Co-edited
with S. Panchapakesan), Birkh¨auser, Boston, 1997 (448 pages).
Handbook of Statistics - 16: Order Statistics I: Theory and Methods
(Co-edited with C.R. Rao), North-Holland, Amsterdam, 1998 (731 pages).
Handbook of Statistics - 17: Order Statistics II: Applications (Co-edited
with C.R. Rao), North-Holland, Amsterdam, 1998 (712 pages).
Scan Statistics and Applications (Co-edited with J. Glaz), Birkh¨auser,
Boston, 1999 (324 pages).
Advances in Stochastic Simulation Methods (Co-edited with V.B. Melas
and S. Ermakov), Birkh¨auser, Boston, 2000 (386 pages).
Asymptotic Methods in Probability and Statistics with Applications (Co-edited
with I.A. Ibragimov and V.B. Nevzorov), Birkh¨auser, Boston, 2001 (549
pages).
Probability and Statistical Models with Applications (Co-edited with
Ch.A. Charalambides and M.V. Koutras), Chapman & Hall, Boca Raton, 2001
(624 pages).
Handbook of Statistics - 20: Advances in Reliability (Co-edited with
C.R. Rao), North-Holland, Amsterdam, 2001 (837 pages).
Advances on Theoretical and Methodological Aspects of Probability and
Statistics, Taylor & Francis, London, 2002 (528 pages).
Advances on Methodological and Applied Aspects of Probability and
Statistics, Taylor & Francis, London, 2002 (620 pages).
Goodness-of-Fit Tests and Model Validity (Co-edited with C.
Huber-Carol, M. Nikulin and M. Mesbah), Birkh¨auser, Boston, 2002 (504
pages).
Statistical Methods and Practice (Co-edited with N. Kannan and M.R.
Srinivasan), Narosa Publishing Hourse, New Delhi, 2003 (363 pages).
Handbook of Statistics - 23:
Advances in Survival Analysis (Co-edited with C.R. Rao), North-Holland,
Amsterdam, 2004 (771 pages).
Parametric and Semiparametric Models with Applications to Reliability,
Survival Analysis, and Quality of Life (Co-edited with M.S. Nikulin, M.
Mesbah and N. Limnios), Birkh¨auser, Boston, 2004 (555 pages).
Advances in Ranking and Selection, Multiple Comparisons and
Reliability (Co-edited with N.Kannan and H.N. Nagaraja), Birkh¨auser,
Boston, 2005 (412 pages).
Advances on Models, Characterizations and Applications (Co-edited with
I. G. Bairamov and O. L. Gebizlioglu), Chapman & Hall, Boca Raton,
Florida, 2005 (234 pages).
Advances in Distribution Theory, Order Statistics, and Inference (Co-edited
with E. Castillo and J. M. Sarabia), Birkh¨auser, Boston, 2006 (483
pages).
Advances in Statistical Methods for the Health Sciences: Applications
to Cancer, AIDS Studies, Genome Sequence Analysis, and Survival Analysis
(Co-edited with J-L. Auget, M. Mesbah and G. Molenberghs), Birkh¨auser,
Boston, 2007 (540 pages).
Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor
of Pranab K. Sen (Coedited with E. P˜ena and M. J. Silvapulle),
Institute of Mathematical Statistics Collections, Volume 1, Beachwood,
Ohio, Hayward, 2008 (407 pages).
Advances in Mathematical and Statistical Modeling (Co-edited with B.
C. Arnold, J. M. Sarabia, and R. M´ınguez, Birkh¨auser, Boston, 2008 (to
appear).
Handbook of the Logistic Distribution, Second edition, Taylor &
Francis, Philadelphia, 2008 (to appear).
Journal Articles Published in 2008
On the application and
extension of system signatures in engineering reliability (with J.
Navarro, F.J. Samaniego and D. Bhattacharya), Naval Research Logistics,
55, 313-327.
Exponential progressive step-stress life-testing with link function
based on Box-Cox transformation (with T-H. Fan andW-L.Wang), Journal of
Statistical Planning and Inference, 138, 2340-2354.
The asymptotic distribution of numbers of observations near order
statistics (with A. Dembinska), Journal of Statistical Planning and
Inference, 138, 2552-2562.
Exact likelihood inference based on an unified hybrid censored sample
from the exponential distribution (with A. Rasouli and N.
Sanjari-Farsipour), Journal of Statistical Computation and Simulation,
78, 475-488.
Point and interval estimation for extreme-value regression model under
Type-II censoring (with P.S. Chan and H.K.T. Ng), Computational
Statistics & Data Analysis, 52, 4040-4058.
Progressive censoring from heterogeneous distributions with applications
to robustness (with E. Cramer), Annals of the Institute of Statistical
Mathematics, 60, 151-171.
Some simple nonparametric methods to test for perfect ranking in ranked
set sampling (with T. Li), Journal of Statistical Planning and
Inference, 138, 1325-1338.
On the joint distribution of
placement statistics under progressive censoring and applications to
precedence test (with R.C. Tripathi and N. Kannan), Journal of
Statistical Planning and Inference, 138, 1314-1324.
Connections of the Poisson weight function to overdispersion and
underdispersion (with C. Kokonendji and D. Miz`ere), Journal of
Statistical Planning and Inference, 138, 1287-1296.
Asymptotic properties of numbers of near minimum observations under
progressive Type-II censoring (with A. Stepanov), Journal of Statistical
Planning and Inference, 138, 1010-1020.
Statistical evidence in contingency tables analysis (with M. Kateri),
Journal of Statistical Planning and Inference, 138, 873-887.
Progressively Type-II right censored order statistics from discrete
distributions (with A. Dembinska), Journal of Statistical Planning and
Inference, 138, 845-856.
Exact likelihood inference for two exponential populations under joint
Type-II censoring (with A. Rasouli), Computational Statistics & Data
Analysis, 52, 2725-2738.
On the hazard function of Birnbaum-Saunders distribution and associated
inference (with D. Kundu and N. Kannan), Computational Statistics & Data
Analysis, 52, 2692-2702.
Lifetime analysis based on the generalized Birnbaum-Saunders
distribution (with Vctor Leiva, Marco Riquelme and Antonio Sanhueza),
Computational Statistics & Data Analysis, 52, 2079-2097.
Revisiting Sens inequalities on order statistics (with K.
Balasubramanian), Statistics & Probability Letters, 78, 616-621.
Asymptotic properties of the ratio of order statistics (with A. Stepanov),
Statistics & Probability Letters, 78, 301-310.
The generalized Birnbaum-Saunders distribution and its theory,
methodology, and application (with A. Sanhueza and V. Leiva),
Communications in StatisticsTheory and Methods, 37, 645-670.
On a generalization of bivariate Cauchy distribution (with A.
Jamalizadeh), Communications in StatisticsTheory and Methods, 37,
469-474.
Editorial Work
Professor Balakrishnan has
been extremely active in editorial work. In addition to refereeing work
for numerous journals, he is currently serving as:
Editor-in-Chief for Communications in Statistics
Executive Editor for Journal of Statistical Planning and Inference
Associate Editor for Test
Associate Editor for Metrika
Associate Editor for Methodology and Computing in Applied Probability.
In addition, he is presently
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Editor-in-Chief for the
revised edition (of the 16-volume set) as well as the online edition
of Encyclopedia of Statistical Sciences published by John Wiley &
Sons, Hoboken, New Jersey
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Editor-in-Chief for the
Series of books on Statistics for Industry and Technology published
by Birkh¨auser, Boston
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Editor-in-Chief for the
Series of books and monographs on Statistics published by Taylor &
Francis, Philadelphia.
He had also served in the past
as an Associate Editor for Journal of Statistical Planning and
Inference, IEEE Transactions on Reliability, Communications in
Statistics, Naval Research Logistics, Computational Statistics & Data
Analysis, Statistical Methodology, and Selected Tables in Mathematical
Statistics for a number of years.
Conferences Organized
Professor Balakrishnan, in
addition to organizing numerous sessions in various scientific
conferences and meetings, has organized the following International
Conferences:
During June 25-28, 1997, he organized an International Conference on
Combinatorial Methods and Applications to Probability and Statistics at
McMaster University, Canada, for four days. It was a very successful
conference with around 140 registered participants. The proceeding
volume of this conference was published by Birkh¨auser, Boston, in 1997.
During October 10-11, 1998, he organized the IISA 1998 International
Conference at McMaster University in which around 230 participants took
part. The proceedings of this conference is soon to be published by
Taylor & Francis, London, England.
He was one of three organizers of an International Conference on
Recent Advances in Probability and Statistics A Conference in Honor of
Theophilos Cacoullos which was held at Athens, Greece, during June 3-5,
1999. This conference had around 140 registered participants. The
proceeding volume of this conference was published by Chapman and Hall,
Boca Raton, in 2001.
He was one of six organizers of an International Conference
celebrating the occasion of Professor C.R. Rao turning 80. This
conference, entitled Statistics: Reflections on the Past and Visions for
the Future, took place at the University of Texas at San Antonio during
March 16-19, 2000.
He was one of four organizers of an International Conference on
Goodness-of-fit Tests and Model Validity which was held at Universit´e
de Paris 6 (Paris, France) during May 2931, 2000. It was a successful
conference with around 150 registered participants. The proceeding
volume of this conference was published by Birkh¨auser, Boston.
He was one of four organizers of an International Conference on Recent
Developments in Probability and Statistics which was held at University
of Madras (Chennai, India) during December 21-22, 2000. The proceeding
volume of this conference was published by Narosa Publishing House, New
Delhi.
He was one of four organizers of an International Symposium on
Statistical Methods for the Analysis of Olympic Record Data which was
held at Universite de Bordeaux-2, Bordeaux, France, during September
4-6, 2001.
He was one of three
organizers of an International Conference on Characterizations, Models
and Applications which was held at Antalya, Turkey, during December 7-9,
2001. The proceeding volume of this conference is soon to be published
by Taylor & Francis, Philadelphia.
He was one of three organizers of an International Conference on
Ranking and Selection, Multiple Comparisons and Reliability with
Applications that was held at Chennai, India, during December 28-30,
2002. The proceeding volume of this conference was published by
Birkh¨auser, Boston.
He was one of four organizers of an International Workshop on
Statistical Inference for Semiparametric Models which was held at Mount
St. Michel, France, during May 15-17, 2003. The proceeding volume of
this conference was published by Birkh¨auser, Boston.
He was one of four organizers of an International Conference on
Statistical Inference and Applications that was held at Almaty,
Kazhakstan, during June 9-12, 2003.
He was one of three organizers of an International Conference on
Distribution Theory, Order Statistics and Inference that was held at
University of Cantabria, Santander, Spain, during June 16-18, 2004. The
proceeding volume of this conference is soon to be published by
Birkh¨auser, Boston.
He was one of four organizers of an International Conference on
Statistical Methods in Health Sciences that was held at University of
Nantes, Nantes, France, during June 23-25, 2004.
He was one of eight organizers of an International Conference on the
Future of Statistical Theory, Practice and Education that was held at
Hyderabad, India, during December 29, 2004 - January 1, 2005.
He organized an International Conference on Statistical Distributions
and Applications that was held at Bowling Green State University,
Bowling Green, Ohio, USA, during April 15-16, 2005.
He organized an International Conference on Ordered Data Analysis that
was held at Bowling Green State University, Bowling Green, Ohio, USA,
during April 22-23, 2005.
Throughout his career, he has presented numerous Plenary, Invited as
well as Contributed talks at many international conferences and
meetings.
Doctoral Students Supervised
In addition to supervising 34
M.Sc. students at McMaster University, Professor Balakrishnan has
supervised the following Ph.D. students:
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R.S. Ambagaspitiya (1991),
currently as Associate Professor at the University of Calgary,
Alberta, Canada.
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P.S. Chan (1993),
currently as Associate Professor at Chinese University of Hong Kong.
-
A. Childs (1996),
currently as Associate Professor atMcMaster University, Hamilton,
Ontario, Canada.
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R. Aggarwala (1996),
currently practicing as a Lawyer in Calgary, Alberta, Canada.
-
K.S. Sultan (1998),
currently as Associate Professor at King Saud University, Riyadh,
Saudi Arabia.
-
S.L. Sheng (1998),
currently as Research Scientist at the National Institute of Health,
Bethesda, Maryland.
-
Y. Ma (1998), currently as
Statistician in a phrmaceutical firm in Toronto, Ontario, Canada.
-
Q. Zhou (2002), currently
as Assistant Professor in McMaster University, Hamilton, Ontario,
Canada.
-
H.K.T. Ng (2002),
currently as Assistant Professor at Southern Methodist University,
Dallas, Texas, USA.
-
Jeong Kim (2004),
currently as Statistician in LG, Daejeon, South Korea.
-
Po Yang (2004), currently
as Assistant Professor at De Paul University, Chicago, Illinois,
USA.
-
Akbar Asgarzadeh (2004),
currently as Lecturer at Massandara University, Massandara, Iran.
-
Fathy Hilmy Eissa (2004),
currently as Lecturer at Ain-Shams University, Cairo, Egypt.
-
Tao Li (2005), currently
as Assistant Professor at Peking University, Beijing, China.
-
Qihao Xie (2006),
currently as Scientist, Bombardier Canada, Ontario, Canada.
-
Majid Rezaei (2006),
currently as Assistant Professor at Ferdowsi University, Mashhad,
Iran.
-
Arezou Habibi Rad (2006),
currently as Assistant Professor at Ferdowsi University, Mashhad,
Iran.
-
Mahdi Doostparast (2006),
currently as Assistant Professor at Ferdowsi University, Mashhad,
Iran.
-
Abbas Rasouli (2006),
currently as Assistant Professor at Zanjan University, Zanjan, Iran.
-
Ahad Jamalizadeh (2006),
currently as Assistant Professor at Shahid Bahonar University,
Kerman, Iran.
-
Xingqiu Zhao (2008), to
work as Assistant Professor at Hong Kong City Polytechnic
University, Hong Kong.
-
Donghoon Han (2008), to
work as Assistant Professor at University of Manitoba, Winnipeg,
Manitoba, Canada.
-
Xuan Zhang, to work as
Statistician at Bank of Montreal, Toronto, Ontario, Canada
-
Kisokannan Yogarajah,
currently working on his Ph.D. Thesis.
Honors and
Awards Received
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Professor Balakrishnan was
elected a Fellow of the American Statistical Association in 1995.
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Professor Balakrishnan was
elected a Fellow of the Institute of Mathematical Statistics in
2006.
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Professor Balakrishnan is
an Elected Member of the International Statistical Institute since
1992.
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Professor Balakrishnan was
elected a Fellow of the Turkish Statistical Society in 2003.
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Professor Balakrishnan was
the Distinguished Eugene Lukacs Professor at Bowling Green State
University, Bowling Green, Ohio, USA, during 2005.
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Professor Balakrishnan was
the Santalo Lecturer at Universidad Complutense de Madrid, Madrid,
Spain, during 2006.
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Professor Balakrishnan was
elected an Honorary Member of the Greek Statistical Institute in
2006.
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Professor Balakrishnan was
awarded the Don Owen Award by the American Statistical Association
in 2008.
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In addition to an
excellent research career, he has won McMaster Students Union
Teaching
Award on five occasions, three
from the Faculty of Science, one from the Faculty of Engineering, and
one from the Arts & Science Program.
