Published Articles



  
Glaz, J. and Naus, J. (1978). Multiple coverage on the line. Ann. Probab. 7, 900-906.

Glaz, J. (1978). Expected waiting time for the visual response. Biological Cybernetics 35, 39-41.


Glaz, J. (1978). Probabilities and moments for absorption in finite homogeneous birth-death
     processes. Biometrics 35, 813-816.


Glaz, J. (1978). The number of dense arrangements. J. Combin. Theory Sec. A. 27, 367-370.


Glaz, J. (1981). Clustering of events in a stochastic process. J. Appl. Probab. 18, 268 - 275.

Glaz, J. (1983).Moving window detection for discrete data. IEEE Trans. Info. Theory,
     IT-29, 457-462.


Glaz, J. and Naus, J. (1983). Multiple clusters on the line. Commun. Statist. -
     Theor. Meth. Sec. A 12, 1961-1986.


Glaz, J. and McK. Johnson. (1984). Probability inequalities for multivariate distributions with
     dependence structures. J. Amer. Stat.  Assoc.  79, 436-441.


Glaz, J. and McK. Johnson. (1986). Approximating boundary crossing probabilities with
     Applications to sequential tests. Sequential Analysis 5, 37-72.


Glaz, J. and Naus, J. (1986). Approximating probabilities of first passage in a particular
     Gaussian process. Commun. Statist. - Theor. Meth. Sec. A 15, 1709-1722.


Glaz, J. and McK. Johnson. (1988). Boundary crossing for moving sums. J. Appl. Probab.
     25, 81-88.


Glaz, J. (1989). Approximations and bounds for the distribution of the scan statistics.
     J. Amer. Stat. Assoc. 84, 560-566.


Glaz, J. (1990). A comparison of product-type and Bonferroni-type inequalities in presence
      of dependence. Symposium on Dependence in Probability and Statistics. Block, Sampson
      and Savits (eds), IMS Lecture Notes-Monograph Series Vol. 16, 223-235.


Glaz, J. and Naus, J. (1991). Tight bounds for scan statistics probabilities for discrete data.
     Ann. Appl. Probab. 1, 306-318.


Glaz, J. and Ravishanker, N. (1991). Simultaneous prediction intervals for multiple forecasts in
     time series models. Probab. Statist. Lett. 12, 57-63.

Ravishanker, N., Wu, S.Y.L., and Glaz, J. (1991). Simultaneous prediction in seasonal time
      series models. J. Forecasting 10, 445-463.


Gelfand, A., Glaz, J., Kuo, L., and Lee, T.M. (1992). Point estimation and confidence
      intervals for the largest proportion in multinomial tables. Naval Res.Logist. 39, 97-114.

Glaz, J. (1992). Approximations for tail probabilities and moments of the scan statistics.
     Comput. Stat. Data Analys. 14, 213-227.


Glaz, J. (1992). Approximate simultaneous confidence intervals. Multiple Comparisons,
     Selection, and Applications in Biometry. Fred M. Hoppe (ed.), 149-166.
     Marcel Dekker, NY
.

Glaz, J. (1993) .Extreme order statistics for a sequence of dependent random variables.
     Stochastic Inequalities. M. Shaked and Y.L. Tong   (eds), 100-115.
     IMS Lecture Notes 22, CA


Glaz, J. (1993). Approximations for scan statistics. Statist. Medicine 12, 1844-1851.


Wallenstein, S., Naus, J, and Glaz, J. (1993). Approximations for the power of scan statistics.
     Statist. Medicine 12, 1829-1843.
    
Glaz, J., Naus, J., Roos, M., and Wallenstein, S. (1994). Poisson approximations for the
     distribution and moments of ordered m-spacings. J. Appl. Probab. 31A, 271-281.


Wallenstein, S., Naus, J., and Glaz, J. (1994). Power of the scan statistic in detecting a
     changed segment in a Bernoulli sequence.  Biometrika 81, 595-601.


Sison, C., and Glaz, J. (1994). Simultaneous confidence intervals and sample size
     determination for multinomial proportions. J. Amer. Statist. Assoc. 90, 366-369.


Wallenstein, S., Naus, J., and Glaz, J. (1995). Power of the scan statistics. Proceedings
     of the Section on Epidemiology. 1994 Annual Meeting ASA, 70-74, Alexandria, VA.


Glaz, J. (1995). Testing procedures for detecting multiple clusters. Proceedings of the
     Section on Epidemiology. 1994 Annual Meeting ASA, 59-63, Alexandria, VA.


Glaz, J. and Kenyon, J. (1995). Approximation characteristics of sequential tests.
    Probab. Math.Statist. 15, 311-325.


Glaz, J. and Kenyon, J. (1996). Probability approximations and inequalities for sequential tests.
    Lifetime Data: Models in Reliability Theory and Survival Analysis. N. P. Jewell,
    A. C. Kimball, M. T. Ting Lee, and G. A. Whitmore (eds.), 99-106, Kluwer Academic
    Publishers, Boston.


Chen, J. and Glaz, J. (1996). Two dimensional discrete scan statistics. Probab. Statist. Lett.
     31, 59-68.


Glaz, J. (1996). Discrete scan statistics with applications to minefield detection. Detection
    and Remediation Technologies for Mines and Mine-Like Targets. (Eds. A. C. Dubey,
    R. L. Barnard, C. J. Lowe and J. E. McFee), 420 - 429. Proceedings SPIE, 10th Annual
    International AeroSense Symposium, Orlando, Florida.


Chen, J. and Glaz, J. (1997). Approximations and inequalities for the distribution of a scan
     statistics for 0-1 Bernoulli trials. Advances in the Theory and Practice of Statistics -
     A Volume in Honor of Samuel Katz. N. L. Johnson and N, Balakrishnan (eds.), Chapter 16,
    285 - 298. Wiley & Sons, NY.


Glaz, J. and Balakrishnan, N. (Eds.) (1999).
Recent Advances on Scan Statistics.
     Birkhauser Publishers, Boston.


Glaz, J. and Balakrishnan, N. (1999). Introduction to scan statistics. Recent Advances on Scan
    Statistics. N. Balakrishnan and J. Glaz (eds.), p. 3 - 24. Birkhauser Publishers, Boston.


Chen, J. and Glaz, J. (1999).Approximations for discrete scan statistics. Recent Advances on
     Scan Statistics. N. Balakrishnan and J. Glaz (eds), p. 27- 66. Birkhauser Publishers, Boston.


Chen, J. and Glaz, J. (1999).Approximations for discrete scan statistics on the circle. Stat. Probab.
     Lett. 44, 167 - 176.


Glaz, J. and Sison, C. (1999).Simultaneous inference for functions of multinomial proportions.
     J. Stat. Plan. Infer. 82, 251-262.


Chen, J. and Glaz, J. (2000).Approximations for consecutive k-within-m-out-of-n: F systems.
     Proceedings of MMR' 2000, 2nd International Conference on Mathematical Methods in
     Reliability: Methodology, Practice and Inference. Universite Victor Segalen - Bordeaux 2,
     Bordeaux, France, Volume 1, 285-288.


Glaz, J. (2001).Probability Inequalities for Multivariate Distributions with Applications to Statistics.
     In: Probability and Statistical Models with Applications (Ch. A. Charalambides,
     M.V. Koutras and N. Balakrishnan, Eds), 15-40. Chapman & Hall/CRC, New York.


Glaz, J., Naus., Wallenstein, S. (2001). Scan Statistics. Springer, NY.


Glaz,J.(2001)
.Probability Inequalities for Multivariate Distributions with Applications to Statistics.
      In:
Probability and Statistical Models with Applications. Ch. A. Charalambides M. V. Koutras
      and N. Balakrishnan, Eds., 15-40. Chapman & Hall/CRC, New York.

Chen, J., Glaz, J., Naus, J. and Wallenstein, S. (2001). Bonferroni-type inequalities for                 
     
conditional scan statistics. Stat. Prob. Lett
. 53, 67-77.


Glaz, J. (2001). Approximations for the Multivariate Normal Distribution with
       Applications
in Finance and Economics. In: Applied Stochastic Models and Data
     Analysis.
G. Govaert,
J. Janssen and N. Limnios, eds., Volume 1, 37-43, Universite
      de Technologie de 
Compiegne, Compiegne, France.

 Chen, J. and Glaz, J. (2002). Approximations for a conditional two-dimensional scan                    
      statistic. Stat. Prob. Lett. 58, 287-296
.
 

 Chen, J. and Glaz, J. (2004). Approximations and Bounds for Moving Sums of Discrete
       Random Variables. Applied Sequential Methodologies. N. Mukhopadhyay,
       S. Datta and S. Chattopadhyay, eds., 105-122. STATISTICS: Textbooks and
       Monographs Vol. 173, Marcel Dekker, NY
.


 Glaz, J. and Zhang, Z. (2004). Multiple window discrete scan statistics. J. Applied
      Statistics
, 31, 979-992
.


 Chen, J. and Glaz, J. (2005). Approximations for Discrete Multiple Scan Statistics. 
       Recent  Advances in Applied Probability. R. Baeza-Yates, J. Glaz, H. Gzyl,
       J. Huesler, and  J. L. Palacios, eds., 97-114, Kluwer Academic Publishers,
       Boston, MA
.


 Glaz, J. and V. Pozdnyakov (2005). A repeated significance test for distributions
      with heavy tails. Sequential Analysis, 24, 77-98
. 
                                                                          

 Pozdnyakov, V., Glaz, J., Kulldorff, M. and Steele, M. (2005). A martingale approach
       to scan Statistics, Annals of the Institute of Statistical Mathematics, 57, 21-37
.


 Glaz, J. and Pozdnyakov, V. (2005). Repeated significance tests for distributions with
       heavy tails. Proceedings of the XI th International Symposium on Applied Stochastic
       Models and Data Analysis, J. Janssen and P. Lenca (eds.), 838-845.
       ENST, Brest, France.   


 Glaz, J. and Naus, J. (2005). Scan Statistics and Applications. Encyclopedia of
      Statistical Sciences
, 2nd Edition, S. Kotz, N. Balakrishnan, C. B. Read and
      B. Vidacovic, eds., 7463-7471. Wiley, NY
.


Glaz, J., Kulldorff, M., Pozdnyakov, V., and Steele, M. (2006). Gambling teams and waiting
     times for patterns in two-state Markov chains.  J. Appl. Probab., 43, no. 1, 127-140.


Glaz, J. and Zhang, Z. (2006). Maximum scan score-type statistics, Statistics &
      Probability Letters
, 76, 1316-1322.
 

Pozdnyakov, V. and Glaz, J. (2007). A nonparametric sequential test for distributions
       with heavy tails. Journal of Statistical Planning and Inference, 137, 869-878.

Glaz, J. (2007). Scan Statistics. In: Encyclopedia of Statistics in Quality and
        Reliability.
Ruggeri, F., Kenett R. and Faltin, F. W. (eds.), John Wiley & Sons Ltd,
        Chichester, UK, 1761-1766.


Guerriero, M., Willett, P. and Glaz, J. (2008). Target detection in sensor networks using
       scan statistics. In: Acoustic, Speech and Signal Processing 2008, ICASSP 2008 IEEE
      International Conference, Las Vegas, Nevada, 2425-2428.


Zhang, Z. and Glaz, J. (2008). Bayesian variable window scan statistics,
      Journal of Statistical 
Planning and Inference, 138, no. 11, 3561-3567.

Chen, J. and Glaz, J. (2008). Conditional variable window scan statistics. Proceedings of

       International Workshop on Applied Probability 2008. Université de Technologie Compiègne,

      France, July 7-10, 2008, pp. 1-6.

 

Guerriero, M., Willett, P. and Glaz, J. (2009). Distributed target detection in a sensor network

      using scan statistics. IEEE Transactions on Signal Processing, 57, no. 7, 2629-2639.

 

Glaz, J. (2009). Nonparametric repeated significance tests with random target sample size.

      Proceedings of a Conference IWSM 2009, University of Technology of Troyes, France,

      June 15-17, 2009, pp. 1-6

 

Chen, J. and Glaz, J. (2009). Approximations for two-dimensional variable window scan

       Statistics, in Scan Statistics: Methods and Applications, Glaz, J, Pozdnyakov, V. and  

       Wallenstein, S. (eds.), 109-130, Birkhauser Publishers, Boston.

 

Glaz, J. and Naus, J. (2009). Scan statistics, in Methods and Applications of Statistics in the Life

       and Health Sciences. N. Balakrishnan (ed.), John Wiley & Sons Ltd, Chichester, UK, 733-748.

 

Guerriero, M., Pozdnyakov, V., Glaz, J. and Willett, P. (2010). Randomly Truncated Repeated

      Significance Tests with Applications to Sensor Networks.  IEEE Trans. on Signal Processing,  

      58, no. 7, 3426-3435.

 

Glaz, J., Guerriero, M. and Sen, R. (2010). Approximations for the distribution of a scan statistic    

      for 0-1 iid Bernoulli trials in a three dimensional cube. Methodology and Computing in Applied

      Probability, 12, No. 4, 731-748.


 Song, X., Willett, P., Glaz, J. and Zhou, S. (2012). Active detection with a barrier sensor 

      network using a scan statistic. IEEE Journal of Oceanic Engineering, 37, No. 1, 66-74.

 
Glaz, J., Naus, J. and X. Wang. (2012). Approximations and bounds for distribution of moving

      sums of normal random variables. Methodology and Computing in Applied

      Probability, 14, No. 3,597-616.

 

Song, X., Willett, P., Glaz, J., and Zhou, S. (2012). Distributed detection with a scan statistic:

      Global to local inference. Proceedings of the 2012 IEEE Sensor Array and Multichannel

      Signal Processing Workshop, Hoboken NJ, June 2012, 485-488.

Song, X, Willett, P., Zhou, S., and Glaz, J. (2012). MIMO radar detection with heterogeneous

      propagation losses, Conference publications, IEEE Statistical Signal Processing Workshop,
      SSP2012, Ann Arbor, MI, USA,
August 5-8, 2012 , 776-779.


Wu, T.-L., Glaz, J. and Fu, J. (2013). Discrete, continuous and conditional multiple window
      scan statistics. Journal of Applied Probability, 50, No. 4, 1089-1101.


Chen, J. and Glaz, J. (2013). Scan statistics for monitoring data modeled by a negative 

      binomial distribution. Proceedings of the XV International Symposium on Applied
      Stochastic Models and Data Analysis, June 25-28,
2013, Mataro - Barcelona, Spain,
      211-217. (invited paper).


Wang, X. and Glaz, J. (2013). A variable window scan statistic for MA(1) process.        

        Proceedings of the XV International Symposium on Applied Stochastic Models
      
and Data Analysis, June 25-28, 2013, Mataro - Barcelona, Spain, 905-912.
      (invited paper).


Wang, X. and Glaz, J. (2014). Variable window scan statistics for normal data. Communications
      in Statistics - Theory and Methods Ser. A., 43, 2489-2504.
 
Wang, X., Zhao, B. and Glaz, J. (2014). A multiple window scan statistic for time series data.
      Statistics and Probability Letters, 94, 196-203.

Wu, T.-L. and Glaz, J. (2015).  A new adaptive procedure for multiple window scan statistics.
       Computational Statistics and Data Analysis, 82, 164-172.


Zhao, B. and Glaz, J. (2016). Scan statistics for detecting a local change in variance for
     
normal data with known variance . Methodology and Computing in Applied Probability 18,
     
563-573.


Zhao, B.
and Glaz, J. (2016).
Scan statistics for detecting a local change in variance for
     
normal data unknown variance. Statistics and Probability Letters 110, 137-145.
 

Chen, J. and Glaz, J. (2016). Scan statistics for monitoring data modeled by a negative
       binomial distribution.
Communications in Statistics - Theory and Methods Ser. A., 45,

       no.6, 1632-1642.

        

Chen, J., Glaz, J. and Sison, C. P. (2016). Monte Carlo tests for multinomial proportions.

       Communications in Statistics - Theory and Methods Ser. A., 45, no. 6. 1747-1777.


Chen, J. and Glaz, J. (2016). Multiple window scan statistics for Poisson processes in a
      rectangular region.
Methodology and Computing in Applied Probability 18, 967-978.


Zhao, B. and Glaz, J. (2017). Scan statistics for detecting a local change in variance for
     
two dimensional normal data. Communications in Statistics - Theory and Methods Ser. A, 46,
      no. 11, 5517-5530.


Chen, J. and Glaz, J. (2017). Scan statistics for discrete iid random variables; conditional case.
      Handbook of Scan Statistics, Glaz., J. and Koutras, M. V., Eds., Springer (submitted for publication).


Zhag, P. and Glaz, J. (2017). Scan statistics on graphs and networks.
Handbook of Scan Statistics,
      Glaz., J. and Koutras, M. V., Eds., Springer (submitted for publication).


Wu, Q. and Glaz, J. (2017). Scan statistics for detecting a local change in median for continuous distributions.
    
Methodology and Computing in Applied Probability (submitted for publication).


Meng, Q. and Glaz, J. (2017). Scan statistics in genetics and genomics. Handbook of Scan Statistics,
     Glaz., J. and Koutras, M. V., Eds., Springer (in preparation).