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Professor Jeffrey Hunter

Professor of Statistics (1990 - 2007)

Dean, Faculty of Information and Mathematical Sciences (1995-97)

Head, Institute of Information and Mathematical Sciences (1998-2001)

Current Research
Current Teaching


Room 3.16
IIMS Building
Institute of Information and Mathematical Sciences
Massey University at Albany
Private Bag 102 904
North Shore Mail Centre,
Auckland 0745
New Zealand

Telephone: 64 9 414 0800 Ext 41037
Fax: 64 9 4418178

BSc NZ, MSc(Hons) Auckland, PhD North Carolina, DSc Massey
Council Member, Royal Society of New Zealand, (1997-2002)
Chair, RSNZ Standing Committee on Mathematics and Information Sciences, (1997-2002)
Past President - New Zealand Statistical Association, (1995-97)
Campbell Award, New Zealand Statistical Association (2006)
New Zealand Science and Technolgy Bronze Medal (2003)
Fellow of the New Zealand Mathematical Society (2002)
Claude McCarthy Fellow (1992)
Distinguished Lecturer in Applied Probability, Department of Industrial Engineering, Texas A&M University (1992)
Fulbright Graduate Student Travel Grant to US (1964)
Associate Editor Annals of Institute of Statistical Mathematics (1986 - 2002)
Contributing Editor Current Index of Statistics (2001 - )
Visiting Professorships:
  Virginia Polytechnic Institute and State University (1980, 1987);
University of North Carolina at Chapel Hill (1973, 1988, 2001);
McGill University (1988); Cornell University (1988);
Research Interests:

My current research activity involves studies in a variety of areas of stochastic processes such as the application of Markov renewal theory to queueing models; the application of generalized inverses to problems involving Markov chains and the application of two dimensional renewal processes to problems in warranty analysis. (See Current Research)

I am also working on Volume 3 of a series of textbooks on Mathematical Techniques of Applied Probability. This volume, which examines continuous stochastic time models, is a continuation of Volumes 1 and 2.

Selected Earlier Publications:

Hunter, J J (1983). "Mathematical Techniques of Applied Probability, Volume l, Discrete Time Models: Basic Theory". Academic Press New York, N.Y. (Operations Research and Industrial Engineering Series) pp.xiii + 239. "Mathematical Techniques of Applied Probability, Volume 2, Discrete Time Models: Techniques and Applications". Academic Press, New York, N.Y. (Operations Research and Industrial Engineering Series) p.p.xiii + 286

Hunter, J J (1990). "Parametric forms for generalized inverses of Markovian kernels and their applications", Linear Algebra and its Applications,127, 71-84.

Hunter, J J (1991). "The computation of stationary distributions of Markov chains through perturbations", Journal of Applied Mathematics and Stochastic Analysis, 4(l), 29-46.

Hunter, J J (1992). "Stationary distributions and mean first passage times in Markov chains using generalised inverses", Asia-Pacific Journal Operational Research, 9,145-153.

Hunter, J J (1995). "Mathematical Techniques for Warranty Analysis", Chapter 7, pp 157-190, Product Warranty Handbook; WR Blischke and DNP Murthy Eds., Marcel Dekker, New York, N.Y.