# List of Publications:

## Publications in refereed journals

- Koutras, M. (1982). Non-central Stirling numbers and some applications. Discrete Mathematics, 42 , 73-89.
- Charalambides, Ch. A. and Koutras, M. (1983). On the differences of the generalized factorials at an arbitrary point and their combinatorial applications. Discrete Mathematics, 47, 183-201.
- Cacoullos, T. and Koutras, M. (1984). Quadratic forms in spherical random variables: Generalized noncentral distribution. Naval Research Logistics Quarterly, 31, 447-461.
- Koutras, M. (1986). On the generalized noncentral chi-squared distribution induced by an elliptical gamma law. Biometrika, 73, 528-532.
- Koutras, M. (1987). On the performance of the linear discriminant function for spherical distributions. Journal of Multivariate Analysis, 21, 1-12.
- Koutras, M. (1990). Two classes of numbers appearing in the convolution of Binomial-truncated Poisson and Poisson-truncated Binomial random variables. The Fibonacci Quarterly, 28, 321-333.
- Koutras, M. (1992). Minimum distance discrimination rules and success rates for elliptical normal mixtures. Statistics and Probability Letters, 13, 259-268.
- Papastavridis, S. G. and Koutras, M. V. (1992). Consecutive k-out-of-n systems with maintainance. Annals of the Institute of Statistical Mathematics, 44, 605-612.
- Charalambides, Ch. A. and Koutras, M. V. (1993). On a generalization of Morisita's model for estimating the habitat preference. Annals of the Institute of Statistical Mathematics, 45, 201-210.
- Fu, J. C. and Koutras, M. V. (1994). Poisson approximations for 2-dimensional patterns. Annals of the Institute of Statistical Mathematics, 45, 179-192.
- Koutras, M. V. and Papastavridis, S. G. (1993). Application of the Stein-Chen method for bounds and limit theorems in the reliability of coherent structures. Naval Research Logistics, 40, 617-631.
- Koutras, M. V. and Papastavridis, S. G. (1993). On the number of runs and related statistics. Statistica Sinica, 3, 277-294.
- Koutras, M. V., Papadopoulos, G. K. and Papastavridis, S. G. (1993). Reliability of 2-Dimensional consecutive k-out-of-n:F systems. IEEE Transactions on Reliability, 42, 658-661
- Papastavridis, S. G. and Koutras, M. V. (1993). Bounds for reliability of consecutive k-within-m-out-of-n systems with unequal component reliabilities. IEEE Transactions on Reliability, 42, 156-160.
- Fu, J. C. and Koutras, M. V. (1994). Distribution theory of runs: A Markov chain approach. Journal of the American Statistical Association, 89, 1050-1058.
- Koutras, M. V. (1994). Eulerian numbers associated with sequences of polynomials. The Fibonacci Quarterly, 32, 44-57.
- Koutras, M. V., Papadopoulos, G. K. and Papastavridis, S. G. (1994). Pairwise rearrangements in reliability structures. Naval Research Logistics, 41, 683-687.
- Chao, M. T., Fu, J. C. and Koutras, M. V. (1995). Survey of the reliability studies of consecutive-k-out-of-n:F and related systems. IEEE Transactions on Reliability, 44, 120-127.
- Fu, J. C. and Koutras, M. V. (1995). Reliability bounds for coherent structures with independent components. Statistics and Probability Letters, 22, 137-148.
- Koutras, M. V. and Alexandrou, V. A. (1995). Runs, scans and urn models: A unified Markov chain approach. Annals of the Institute of Statistical Mathematics, 47, 743-766.
- Koutras, M. V., Papadopoulos, G. K. and Papastavridis, S. G. (1995). Runs on a circle. Journal of Applied Probability, 32, 396-404.
- Koutras, M. V. (1996). On a waiting time distribution in a sequence of Bernoulli trials. Annals of the Institute of Statistical Mathematics, 48, 789-806.
- Koutras, M. V. (1996). On a Markov chain approach for the study of reliability structures. Journal of Applied Probability, 33, 357-367.
- Koutras, M. V., Papadopoulos, G. K. and Papastavridis, S. G. (1996). A reliability bound for 2-dimensional consecutive-k-out-of-n:F systems. Nonlinear Analysis, Theory, Methods and Applications, 30, 3345-3348.
- Koutras, M. V., Papastavridis, S. G. and Petakos, K. I. (1996). Bounds for coherent reliability structures. Statistics and Probability Letters, 26, 285-292.
- Koutras, M. V. (1997). Waiting time distributions associated with runs of fixed length in two-state Markov chains. Annals of the Institute of Statistical Mathematics, 49, 123-139.
- Koutras, M. V. (1997). Consecutive k,r-out-of-n:DFM systems. Microelectronics and Reliability, 37, 597-603.
- Koutras, M. V. and Alexandrou, V. A. (1997). Non-parametric randomness tests based on success runs of fixed length. Statistics and Probability Letters, 32, 393 404.
- Koutras, M. V. and Alexandrou, V. A. (1997). Sooner waiting time problems in a sequence of trinary trials. Journal of Applied Probability, 34, 593-609.
- Chadjiconstantinidis, S. and Koutras, M. V. (1999). Measures of component importance for Markov chain imbeddable reliability structures. Naval Research Logistics, 46, 614-639.
- Balakrishnan, N. and Koutras, M. V. (1999). Random combinations with bounded differences and cospan. The Fibonacci Quarterly, 38, 145-156
- Boutsikas, M. V. and Koutras, M.V. (2000) Generalized reliability bounds for coherent structures with applications. Journal of Applied Probability, 37, 778-794.
- Boutsikas, M. V. and Koutras, M.V. (2000). Reliability Approximation for Markov Chain Imbeddable Systems. Methodology and Computing in Applied Probability, 2, 393-411.
- Boutsikas, M. V. and Koutras, M.V. (2000). A bound for the distribution of the sum of dependent random variables with applications. Annals of Applied Probability, 10, 1137-1150.
- Chadjiconstantinidis, S., Antzoulakos, D. L. and Koutras, M. V. (2000). Joint distributions of successes, failures and patterns in enumeration problems. Advances in Applied Probability, 32, 866-884.
- Chadjiconstantinidis, S. and Koutras, M. V. (2001). Distributions of the numbers of failures and successes in a waiting time problem. Annals of the Institute of Statistical Mathematics, 53, 576-598.
- Boutsikas, M. V. and Koutras, M.V. (2002). On the number of overflown urns and excess balls in an allocation model with limited urn capacity. Journal of Statistical Planning and Inference, 104, 259-286.
- Boutsikas, M. V. and Koutras, M.V. (2002). On a class of multiple failure mode systems. Naval Research Logistics, 49, 167-185.
- Boutsikas, M.V. and Koutras, M.V. (2002). Modeling claim exceedances over thresholds. Insurance: Mathematics and Economics, 30, 67-83.
- Koutras, M. V., Tsitmidelis, S. and Zissimopoulos, V. (2003). Evaluation of reliability bounds by set covering models. Statistics and Probability Letters, 61, 163-175
- Antzoulakos, D. L., Bersimis S. and Koutras, M. V. (2003). On the distribution of the
- total number of run lengths. Annals of the Institute of Statistical Mathematics, 55, 865-884.
- Boutsikas M. V. and Koutras, M. V. (2003). Bounds for the distribution of two-dimensional binary scan statistics, Probability in Engineering and Informational Sciences, 17, 509-525.
- Vassiliou, A., Tambouratzis, D. G. , Koutras, M. V. and Bersimis, S. (2004). A new similarity measure and its use in determining the number of clusters in a multivariate data set. Communications in Statistics: Theory and Methods, 33, 1643-1666.
- Antzoulakos, D. L. and Koutras, M. V. (2005). On a class of polynomials related to classical orthogonal and Fibonacci polynomials with probability applications, Journal of Statistical Planning and Inference, 135, 18-39.
- Koutras, M. V., Bersimis S. and Antzoulakos, D. L (2006). Improving the performance of the chi-square control charts via runs rules. Methodology and Computing in Applied Probability, 8, 409-426.
- Politis, K and Koutras, M.V. (2006) Some bounds for the renewal function. Probability in Engineering and Informational Sciences, 20, 231-250.
- Boutsikas M. V. and Koutras, M. V. (2006). On the asymptotic distribution of the discrete scan statistic. Journal of Applied Probability, 43, 1137-1154.
- Papadopoulos, A. A., Kateri, M., Triantafyllou, K., Ladas, D., Tzathas, C., Koutras, M. and Ladas, S.D. (2006). Hospitalization rates for cholelithiasis and acute cholecystitis doubled for the aged population in Greece over the past 30 years. Scandinavian Journal of Gastroenterology, 41 (11), 1330 - 1335.
- Koutras M.V. and Maravelakis, P. (2007) On the IFR property of Markov chain imbeddable systems Probability in Engineering and Informational Sciences, 21, 201-216.
- Koutras, M. V., Bersimis S. and Maravelakis, P. (2007) Statistical Process Control using Shewhart Control Charts with Supplementary Runs Rules, Methodology and Computing in Applied Probability, 9, 207-224.
- Triantafyllou , I. S. and Koutras, M. V. (2008). On the signature of coherent systems and applications, Probability in Engineering and Informational Sciences, 22, 19-35.
- Koutras, M. V., Bersimis, S. and Antzoulakos, D. L (2008). Bivariate Markov Chain embeddable variables of polynomial type and applications. Annals of the Institute of Statistical Mathematics, 60,173-191.
- Koutras, M. V., Maravelakis, P. and Bersimis S. (2008). Techniques for controlling bivariate grouped observations, Journal of Multivariate Analysis, 99, 1474-1488.
- Milienos, F. S. and Koutras, M. V. (2008). A lower bound for the reliability function of multiple failure mode systems, Statistics and Probability Letters, 78, 1639-1648.
- Papadopoulos, A.A., Polymeros, D., Ladas, D., Kateri, M., Tzathas, C., Koutras, M. and Ladas, S.D. (2008). Dramatic decline of acute appendicitis in Greece over 30 years. Index of improvement of socioeconomic conditions or diagnostic aids? Digestive Diseases, 26, 80-84.
- Balakrishnan N. , Koutras, M. V.and Bersimis S. (2009). Run and Frequency Quota Rules in Process Monitoring and Acceptance Sampling, Journal of Quality Technology, 41, 66-81.
- Antzoulakos, D. L., Koutras, M. V. and Rakitzis, A. C. (2009). Start-Up Demonstration Tests Based on Run and Scan Statistics, Journal of Quality Technology, 41, 48-59.
- Balakrishnan, N., Triantafyllou, I. S. and Koutras, M. V. (2009). Nonparametric control charts based on runs and Wilcoxontype ranksum statistics, Journal of Statistical Planning and Inference, 139, 3177-3192.
- Godbole, A. P., Koutras, M. V. and Milienos, F. S. (2010). Consecutive covering arrays: Exact results and Poisson approximations, Journal of Statistical Planning and Inference, 140, 1292-1305.
- Balakrishnan, N., Triantafyllou, I. S. and Koutras, M. V. (2010). A distribution-free control chart based on order statistics, Communications in Statistics: Theory and Methods, 39, 3652-3677.
- Godbole, A. P., Koutras, M. V. and Milienos, F. S. (2011). Binary consecutive covering arrays, Annals of the Institute of Statistical Mathematics, 63, 559-584.
- Triantafyllou, I. S. and Koutras, M. V. (2011). Signature and IFR Preservation of 2-within-consecutive k-out-of-n: F Systems, IEEE Transactions on Reliability, 60, 315-322.
- Eryilmaz, S.; Koutras, M. V. and Triantafyllou, I. S. (2011) Signature based analysis of m-consecutive-k-out-of-n: F Systems with exchangeable components, Naval Research Logistics, 58, 344-354
- Koutras, M. V. and Milienos, F. S. (2012). Exact and asymptotic results for pattern waiting times, Journal of Statistical Planning and Inference, 142, 1464-1479.
- Triantafyllou, I. S. and Koutras, M. V. (2013). Failure rate and aging properties of generalized beta and gamma- generated distributions, Communications in Statistics: Theory and Methods (accepted for publication).
- Bersimis, S., Koutras, M. V. and Papadopoulos, G. K. (2013). Waiting time for an almost perfect run and applications in statistical process control, Methodology and Computing in Applied Probability (accepted for publication).
- Koutras V., Drakos, K. and Koutras, M. V. (2013) On the polynomial-logistic distribution and applications in finance Communications in Statistics: Theory and Methods (accepted for publication).
- Balakrishnan, N., Koutras, M. V. and Milienos, F. S. (2013). Some binary start-up demonstration tests and associated inferential methods, Annals of the Institute of Statistical Mathematics (accepted for publication).
- Triantafyllou, I. S. and Koutras, M. V. (2013) On the (n, f, k) systems with exchangeable components, IEEE Transactions on Reliability, (accepted for publication).
- Bersimis, S., Koutras, M. V. and Maravelakis, P. E. (2014). A compound control chart for monitoring and controlling high quality processes, European Journal of Operations Research, 233, 595-603.
- Balakrishnan, N., Koutras, M. V. and Milienos, F. S. (2014). Start-up demonstration tests: Models, Methods and Applications, with Some Unifications, Applied Stochastic Models in Business and Industry (accepted for publication).

## Publications in refereed volumes

- Cacoullos, T. and Koutras, M. (1985). Minimum-distance discrimination for spherical distributions. In Statistical Theory and Data Analysis (Ed. K. Matusita), 1985, 91 102.
- Papastavridis, S. G. and Koutras, M. V. (1993). Consecutive-k-out-of-n systems. In New Trends in System Reliability Evaluation (Ed. K. B. Misra), Elsevier Science Publ. B. V., 228-248
- Koutras, M. V., Papadopoulos, G. K. and Papastavridis, S. G. (1994). Circular over-lapping success runs. Runs and Patterns: Selected Papers (Eds. A. Godbole and S. Papastavridis), Kluwer Publ. Co., 287-305.
- Koutras, M. V., Papastavridis, S. G. and Petakos, K. I. (1995). Bounds and limit theorems for coherent reliability structures. In Recent Advances in Life-Testing and Reliability (Ed. N. Balakrishnan), 267-292.
- Cacoullos, T. and Koutras, M. (1997). On the performance of minimum-distance classification rules for Kotz-type elliptical distributions. In Advances in the Theory and Practice of Statistics: A volume in Honour of Samuel Kotz (Eds. N. Balakrishnan and N. Johnson), John Wiley, 209-224.
- Koutras, M. V. (1997). Waiting times and number of appearances of events in a sequence of discrete random variables. In Advances in Combinatorial Methods and Applications to Probability and Statistics (Ed. N. Balakrishnan), Birkhaeuser, Boston, 363-384.
- Koutras, M. V. and Balakrishnan, N.(1999). A start-up demonstration test using a simple scan-based statistic. In Recent Advances in Scan Statistics and Applications (Eds J. Glaz and N. Balakrishnan), Birkhauser, pp.251-267.
- Boutsikas, M. V. and Koutras, M.V. (2000). Compound Poisson approximation for sums of dependent random variables. In Probability and Statistical Models with Applications (Eds: Ch. A. Charalambides, M. V. Koutras and N. Balakrishnan) pp 63-86. Chapman and Hall
- Tsitmidelis, S., Zissimopoulos, V. and Koutras, M. V. (2002). Fault tree analysis via set cover models. In Evolutionary Methods for Design, Optimization and Control. CIMNE Barcelona, 179-183.
- Koutras, M.V. (2003). Applications of Markov Chains to the Distribution Theory of Runs. In Handbook of Statistics, Volume 21: Stochastic Processes: Modelling and Simulation (Eds. D. N. Shanbhag and C. R. Rao). North Holland Publ. Co.
- Antzoulakos, D. L., Bersimis S. and Koutras, M. V. (2003). Waiting time distributions associated to total number of run lengths. In Mathematical and Statistical Methods in Reliability (B. H. Lindqvist and K. A. Doksum Eds), 141-157, World Scientific Publ.
- Boutsikas, M.V., Koutras, M.V. and Milienos, F.S. (2009). Extreme value results for scan statistics. In Scan statistics methods and applications (Eds., Glaz, J., Pozdnyakov, V. and Wallenstein, S.), 57-82, Birkhauser.
- Koutras, M. V. and Triantafyllou, I. S. (2014). Reliability analysis of coherent systems with exchangeable components. In Applications of Mathematics and Informatics to Science and Engineering (Ed., Daras, N.) Springer.