Individual Faculty

Joseph Irwin Naus


Department of Statistics
Hill Center, Busch Campus,
Piscataway NJ 08854

Phone: (848) 445-7686,
Fax: (732) 445-3428

Marital status: Married, four children

Professional Experience:

Professor of Statistics, Rutgers University, 1974-to present

Chairman, Department of Statistics, Rutgers University, 1984-1986

Acting Chairman, Department of Statistics, Rutgers University, 7/81-6/82, 9/88-6/89, 7/92-6/93

Graduate Director, Statistics Center, Rutgers University, 1974-1977

Acting Director, Statistics Center, Rutgers University, 1973-1974

Associate Professor of Statistics, Rutgers University, 1967-1974

Associate Professor of Statistics, City College of New York, 1967-1968 (on leave from Rutgers). Taught courses in sample surveys, and in the analysis of variance.

Assistant Professor of Statistics, Rutgers University, 1964-1966.

The Statistics Department (previously the Statistics Center) has responsibility for undergraduate, graduate, and service statistics programs, as well as University consulting in statistics. There are 21 faculty and about 100 graduate students in statistics, and extensive service enrollments. As Chairman of Statistics, administered academic programs, directed statistical consulting, and personnel matters. As Graduate Director, administered academic graduate programs in statistics.

Teaching experience includes courses in survey sampling, design of experiments, non-parametric statistics, quality control, applied probability, statistical inference and distribution theory. Extensive service teaching and University consulting.

Scientific Analyst, Institute of Naval Studies, Franklin Institute of Pennsylvania, and of Applied Science Division of Operations Evaluation Group, under MIT (Division of Sponsored Research) (later merged ASD into INS), 1962-1964.

Sample survey and market reseaerch study of incentive plans, cost-effectiveness studies, sample survey approaches to estimating number of vessels in an area, classification studies, and statistical consulting on other projects.

Research Assistant, National Bureau of Economic Research (part-time and summers), 1958-1959. Data summarization, tabulation and plotting on a geographical study of industry, and a post-war study of the capital markets.


B.B.A. (Economics), 1959, City College of New York; summa cum laude

M.A. (Statistics), 1961, Harvard University

Ph.D. (Statistics), 1964, Harvard University

Honors and Awards:

City College of New York: Graduated summa cum laude, first in Business School, Ward Medal in Economics, Strook Award for highest average in major, Beta Gamma Sigma.

Harvard: Graduate Fellow in Economics, National Secretary-Treasurer of Omicron Chi Epsilon (Nat. Hon. Econ. Soc.).

Other: Sigma Xi, National Science Foundation Grants for Research at Rutgers University, and at the City College of New York.


American Statistical Association,

Institute of Mathematical Statistics.

Ph.D. Research Directed in Statistics, 1992/1993:

Vatsala Vachaspati Karwe, ``The Distribution of the Supremum of Integer Moving Average Processes with Application to the Maximum Net Charge in DNA Sequences,'' April 1993.

Ke-Ning Sheng, ``Pattern Matching Between Two Non-Aligned Random Sequences,'' June 1993.

Professional Talks, 1992/1993:

``Testing for Unusual Matches in DNA and Protein Sequences,'' Invited Talk, Second International Symposium: Probability and Applications, Bloomington IN, March 1993.

Service, 1992/1993:

Departmental: Acting Chairman of Statistics Department, 7/92-6/93. In addition to the usual departmental activities of Chairman, this was an unusually heavy administrative burden this year, due to both University demands (e.g., strategic planning, departmental responses on many issues), and departmental demands.

University Service:

Head of University Senate Budget Committee.
This committee brought before the Senate two sets of recommendations - (a) Principles for Budget Planning in the University, and (b) University Response to Governor's Budget Proposal. Both of these sets of recommendations were adopted unanimously by the University Senate.

Head of Faculty Council Computer Policy Committee.
This committee provided input into the University report on computing, by conducting surveys of faculty priorities, having members working with Dr. Potenza, and on subcommittees of the University Computer Committee, developing survey together with RUCS to survey faculty usage, and providing liason with faculty council.

Member of Strategic Planning Subcommittee on Implementing Computing.
This committee under Dr. Zebib, developed recommendations on detailed implementation of parts of the Potenza plan for Computing.

Service on Doctoral Committees in other Disciplines, 1992/1993:

Lori Teichman, Doctoral student in Social Work. Anticipated completion, Summer 1993.


Data Quality Control and Editing, Marcel Dekker, New York, 1975.

The Distribution of the Size of the Maximum Cluster of Points on a Line (with N. Neff), IMS Series of Selected Tables in Mathematical Statistics, Vol. VI, AMS, Providence RI, 1980.

Refereed Articles:

The distribution of the size of the maximum cluster of points on a line, JASA 60 (1965), 532-538.

Clustering of random points in two dimensions. Biometrika 52 (1965), 263-267.

An instructive derivation of sums of powers and factorial powers of integers. Amer. Statistician 20 (1966), 42-43.

A power comparison of two tests of non-random clustering. Technometrics 8 (1966), 493-517.

Some probabilities, expectations, and variances for the size of largest clusters, and smallest intervals. JASA 61 (1966), 1191-1199.

An extension of the birthday problem. Amer. Statistician 22 (1968), 27-29.

The distribution of the logarithm of the sum of two log-normal variates. JASA 64 (1969), 655-659.

A probabilistic model for identifying errors in data editing (with Johnson and Montalvo). JASA 67 (1972), 943-950.

Characteristics of families and their members. In Statistics by Example, F. Mosteller et al., eds., pp.15-26, Addison-Wesley, Reading MA, 1973.

Probabilities for a kth nearest-neighbor problem on the line (with Wallerstein). Ann. Probab. 1 (1973), 188-190.

Power sum distributions. JASA 68 (1973), 40-42.

Tables of critical values for a k-sample Kolmogorov-Smirnov test statistic (with Wolf). JASA 68 (1973), 994-997.

Probabilities for a generalized birthday problem. JASA 69 (1974), 810-815.

Probabilities for the size of largest clusters and smallest intervals (with Wallenstein). JASA 69 (1974), 690-697.

The expectation and variance of the number of components in random linear graphs (with Rabinowitz). Ann. Probab. 3 (1975), 159-161.

A simpler expression for kth nearest-neighbor probabilities (with Huntington). Ann. Probab. 3 (1975), 894-896.

An indexed bibliography of clusters, clumps and coincidences. Int'l Statist. Rev. 47 (1979), 47-78.

Multiple coverage of the line (with Glaz). Ann. Probab. 7 (1979), 900-906.

Editing statistical data. In Encyclopedia of Statistical Sciences, Vol. II, N.L. Johnson and S. Kotz, eds., Wiley, New York, 1982.

Approximations for distributions of scan statistics. JASA 77 (1982), 177-183.

Multiple clusters on the line (with Glaz). Communications in Statistics-Theory and Methods 12 (1983), 1961-1986.

Approximating probabilities of first passage in a particular Gaussian process (with Glaz). Communications in Statistics 15 (1986), 1709-1722.

Scan statistics. In Encyclopedia of Statistical Sciences, Vol. 8, pp.281-284, N.L. Johnson and S. Kotz, eds., Wiley, New York, 1988.

Fifty challenging problems in probability: A review. A Statistical Model: Frederick Mosteller's Contributions to Statistics, Science, and Public Policy, Feinberg et al., eds., Springer-Verlag, New York, 1990.

Tight bounds and approximations for scan statistic probabilities for discrete data (with Glaz). Ann. Appl. Prob. 1 (1991), 306-318.

Temporal clustering of homicide and suicide among 15-24 year old white and black Americans (with M. Greenberg, D. Schneider, and D. Wartenberg). Ethnicity and Disease 1 (1991), 342-350.

Power of the scan statistic for detection of clustering (with Wallenstein and Glaz). Statistics in Medicine 12 (1993), 1829-1843.

Power of the scan statistic in detecting a changed segment in a Bernoulli sequence (with Wallenstein and Glaz). Biometrika 81 (1994).

Poisson approximations for the distribution and moments of ordered m-spacings (with Glaz, Roos, and Wallenstein). J. Appl. Prob. (Special Volume) 31A (1994), 271-281. Also published in Studies in Applied Probability: Essays in Honor of Lajos Takacs. J. Glambos and J. Gani, eds., Applied Probability Trust.

Pattern matchingn between two non-aligned random sequencnes (with Ke-Ning Sheng). Bull. Mathematical Biology 56 (1994), 1143-1162.

Matching fixed rectangles in 2-dimensions (with Ke-Ning Sheng). Statistics and Probability Letters 26 (1996), 83-90.

Screening for unusual matched segments in multiple protein sequences (with Ke-Ning Sheng). Communications in Statistics: Simulation and Computation 25 (1996), 937-952.

New recursive methods for scan statistic probabilities (with Karwe). Computational Statistics and Data Analysis 23 (1997), 389-402.

Matching among multiple random sequences (with Ke-Ning Sheng). Bull. Mathematical Biology 59 (1997), 483-496.

A double scan statistic for clusters of two types of events (with Wartenberg). JASA 92 (1997), 1105-1113.

Scanning multiple sequences, in Recent Advances on Scan Statistics, N. Balakrishnan and J.Glaz, Editors, Birkhauser, Boston, 1999.

A conversation with Johannes H.B. Kemperman. Statistical Science 15 (2000), 396-408.

Bonferroni-type inequalities for conditional scan statistics (with J. Chen, J. Glaz and S. Wallenstein). Statistics and Probability Letters 53 (2001), 67-77.

Double-scan statistics (with V. Stefanov). Methodology and Computing in Applied Probability 4 (2002), 163-180.

Multiple window and cluster size scan procedures (with S. Wallenstein). Methodology and Computing in Applied Probability 6 (2004), 389-400.

Scan statistics for temporal surveillance for biologic terrorism (with S. Wallenstein). Morbidity and Mortality Weekly Reports (MMWR) 53 (Supplement) (2004), 74-78.

Temporal surveillance using scan statistics (with S. Wallenstein). Statistics in Medicine 25 (2006), 311-324.

Scan Statistics and Applications. In Encyclopedia of Statistical Science, 2nd Edition, Kotz, S., Balakrishnan, N., Read, C.B., and Vidakovi, B., Eds., Volume 11, 7463-7471. John Wiley \& Sons, 2006.

Editing Statistical Data. In Encyclopedia of Statistical Science, 2nd Edition, Kotz, S., Balakrishnan, N., Read, C.B., and Vidakova, B., Eds., Volume 3, 1861-1869. John Wiley \& Sons, 2006.

Scan Statistics. In Handbook of Engineering Statistics, H. Pham, Ed., Chapter 43, 775-790. Springer-Verlag, 2006.

A representative sampling plan for auditing health insurance claims. In Complex Datasets and Inverse Problems: Tomography, Networks and Beyond. IMS Lecture Notes-Monograph Series, Volume 54, 121-131, 2007.