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Chin-Diew Lai

PhD, Associate Professor

 

Major directions of specialization:

  • Reliability theory

  • Statistical quality control

  • Bivariate distributions

 

Brief Resume:

Professor Lai has a PhD in statistics from Victoria University of Wellington. He is currently an associate professor at Massey University, Palmerston North New Zealand.  He has published over 100 journal articles and 10 books or book chapters.

 

PUBLICATION LIST

 

Books and Book Chapters

  1. C D Lai and M Xie “Stochastic Ageing and Dependence for Reliability”, Springer, 2006.

  2. C D Lai, D N P Murthy and M Xie “Weibull Distributions and Their Applications”, Chapter 3, Handbook of Engineering Statistics, Chapter 3, pp 63-78. Editor: H Pham, Springer, New York, 2006.

  3. C D Lai “Constructions of Discrete Bivariate Distributions”, Chapter 6, pp 29-58, Advances in Distribution Theory, Order Statistics and Inference, Editors:N. Balakrishan, E. Castillo, and J. M. Sarabia, Birkhauser, Boston, 2006.

  4. C D Lai and M Xie “Concepts Ageing and Applications in Reliability”. Chapter 9, pp 165-180, Reliability Engineering Handbook, Editor: H Pham, Springer, UK, 2003.

  5. C D Lai and M Xie “Concepts of Stochastic Dependence in Reliability Analysis”. Chapter 7, pp 141-156, Reliability Engineering Handbook, Editor: H Pham, Springer, UK, 2003.

  6. M Xie, C D Lai and D N P Murthy “Weibull-related Distributions with Bathtub Shaped Failure Rate Functions” Chapter 19 pp. 283-297, Mathematical and Statistical Methods in Reliability, Vol 7 of Series in Quality, Reliability and Engineering Statistics, Edited by K Doksum and B Lindqvist, World Scientific Publishing Co, 2003.

  7. C D Lai, M Xie and D A P Murthy “Bathtub Shaped Life Distributions”, Chapter 3, pp 69-104, Vol 20, Handbook of Statistics, Elsevier: Editors: N Balakrishnan and C R Rao, 2001.

  8. C D Lai, M Xie and I Bairamov “On Some Reliability Properties of Bivariate Lomax Distribution”, Chapter 14: pp 243-256, System and Bayesian Reliability, essays in hour of Professor Richard E Barlow on his 70th Birthday (Editors: Y Hayakawa, T Irony and M Xie), World Scientific Press, 2001

  9. T P Hutchinson and C D Lai “The Datasets from CBDEA”, Rumsby Scientific Publishing, Adelaide, Australia, 1993.

  10. T P Hutchinson and C D Lai “The Engineering Statistician's Guide to Continuous Bivariate Distributions”, Rumsby Scientific Publishing, Australia, 1991.

  11. T P Hutchinson and C D Lai “Continuous Bivariate Distributions, Emphasising Applications”, Rumsby Scientific Publishing, Australia, 1990.

Journal Articles

  1. C D Lai and K.Govindaraju “Reduction of Control Chart Signal Variability for High Quality Processes”, to appear in Journal of Applied Statistics, 2008.

  2. M Bebbington, C D Lai and R Zitikis “Reduction in mean residual life in the presence of a constant competing risk" To appear in Applied Stochastic Models in Business and Industry.

  3. C D Lai, Michael B C Khoo, K Muralidharan3 and M Xie. “Weibull Model Allowing Nearly Instantaneous Failures”, to appear in Journal of Applied Mathematics and Decision Sciences, 2007.

  4. M Bebbington, C D Lai and R Zitikis “Reliability of modules with Loadsharing Components, to appear in Journal of Applied Mathematics and Decision Sciences, 2007.

  5. M Bebbington, C D Lai and R Zitikis “ A discussion ‘An Extreme Value Analysis of Advanced Age Mortality Data by Kathryn A. Watts, Debbie J. Dupuis, and Bruce L. Jones, October 2006”, North American Actuarial Journal, Vol 11(3), 4-5, 2007.

  6. M Bebbington, C D Lai and R Zitikis “A proof of the shape of the Birnbaum-Saunders hazard rate function” To appear in The Mathematical Scientist, Vol 33 (1), 2008.

  7. M Bebbington, C D Lai and R Zitikis “Estimating the turning point of a bathtub shaped failure distribution”, to appear in Journal of Statistical Planning and Inferences, 2007.

  8. H Pham and C D Lai “On Recent Generalizations of Weibull Distribution”, To appear in IEEE Transactions on Reliability, 2007.

  9. M Bebbington, C D Lai and R Zitikis “Bathtub-type Curves in Reliability and Beyond”, Australian and New Zealand Journal of Statistics, 49(3), 251-265, 2007.

  10. H P Edwards, K Govindaraju and C D Lai, “A Control Chart Procedure for Monitoring University Student Grading”, International Journal of Service Technology and Management, Vol 8 (no 4/5), 344 - 354 , 2007.

  11. M Bebbington, C D Lai and R Zitikis "Optimum burn-in time for a bathtub shaped failure distribution", Methodology and Computing in Applied Probability, Vol 9, 1–20, 2007.

  12. J Navarro and C D Lai “Ordering properties of systems with two dependent components series”, Communications in Statistics--Theory and Methods, Vol 36, 645-655, 2007.

  13. M Bebbington, C D Lai and R Zitikis “A Flexible Weibull Extension”, Reliability Engineering & System Safety, Vol 92, 719-726, 2007.

  14. M Bebbington, C D Lai and R Zitikis “Modeling human mortality using mixtures of bathtub shaped failure distributions”, Journal of Theoretical Biology, Vol 245 (3), 528-538, 2007.

  15. J Penm, T Brailsford, and C D Lai "Effectiveness of High Interest Rate Policy on Exchange Rates: A Re-examination of the Asian Financial Crisis", Journal of Applied Mathematics and Decision Sciences, Volume 2006 (2006), Article ID 35752, 9 pages.

  16. C G. Qiao, G R Wood, C D Lai and D Luo “ Comparison of Two Common Estimators of the Ratio of the Means of Independent Normal Variables in Agricultural Research” To appear in Journal of Applied Mathematics and Decision Sciences, Volume 2006 (2006), Article ID 78375, 14 pages.

  17. M Bebbington, C D Lai and R Zitikis “Useful Periods For Lifetime Distributions With Bathtub Shaped Failure Rate Functions”, IEEE Transactions on Reliability, Vol 55(2), 245—251, 2006.

  18. G R Wood, C D Lai and C G Qiao “Estimation of a Proportion Using Several Independent Samples of Binomial Mixtures”, Australian and New Zealand Journal of Statistics, Vol 47(4), pp. 441-448, 2005.

  19. M Bebbington, C D Lai and R Zitikis “Estimating the Turning Points of Failure Rate and Mean residual Life Functions” Communication of Dependability and Quality Management: An International Journal, Vol 8(3), pp. 11-15, 2005.

  20. D Q Wang, C D Lai and S Chukova “Reducing Quadratic Programming Problem to Regression Problem: Stepwise Algorithm.” European Journal of Operational Research, Vol 164, pp. 79-88, 2005.

  21. C G Qiao, G R Wood and C D Lai “Estimating a binomial proportion from several independent samples”, New Zealand Journal of Crop and Horticultural Science, Vol 33, pp. 293-302, 2005

  22. L Zhang, M Bebbington, C D Lai and K. Govindaraju “On Statistical Design of the S2 Control Chart”, Communications in Statistics: Theory and Methods, 34(1), pp. 229-244, 2005.

  23. K Govindaraju and C D Lai (2004) “Run Length Variability and Three Sigma Control Limits”, Economic Quality Control, Vol 19(2), pp. 175-184.

  24. C D Lai “Constructions of Continuous Bivariate Distributions”, Journal of the Indian Society for Probability and Statistics, Vol 8, pp. 21-43, 2004.

  25. M. Xie, Y.S. Dai, K.L. Poh, C.D. Lai (2004) “Distributed system availability in the case of imperfect debugging process”, International Journal of Industrial Engineering, Vol 11(4), pp. 396-405, 2004.

  26. C D Lai, G R Wood and C G Qiao “The Mean of the Inverse of a Truncated Normal Distribution”, Biometrical Journal, Vol 46 (4), pp. 420-429, 2004.

  27. L Zhang; M Bebbington; K Govindaraju and C D Lai “Composite EWMA Control Charts”. Communications in Statistics: Simulation and Computation, Vol 33(4), pp 1133-1158, 2004.

  28. L Zhang, C D Lai, K Govindaraju and M Bebbington “A Note on Average run-lengths of a Moving average Control Charts”, Economic Quality Control, Vol 19(1), 23-27. 2004.

  29. L Zhang, K Govindaraju, M Bebbington and C D Lai “On the Statistical Design of Geometric Control charts”, Quality Technology and Quality Management, Vol 1 (2), pp. 233-243, 2004.

  30. M Xie, Y S Dai, K L Poh and C D Lai “Optimal Number of Hosts in Distributed System Based on Cost Criteria”, International Journal of System Science, Vol 35(6), pp. 343-353. 2004.

  31. C D Lai, L Y Zhang and M Xie “Mean Residual Life and Other Properties of Weibull Related Bathtub Shaped Failure Rate Distributions”, International Journal of Reliability, Quality and Safety Engineering, Vol 11(2), pp. 113- 132, 2004.

  32. D Q Wang, S Chukova and C D Lai “On the Relationship between Regression Analysis and Mathematical Programming”, Journal of Applied Mathematics and Decision Sciences, Vol 8 (2), pp. 131-140, 2004.

  33. L Y Zhang and C D Lai “Variance of a Randomly Stopped Sum”, The Mathematical Scientists, Vol 29, pp. 42-44, 2004.

  34. C D Lai and K Govindaraju “A Generalized Negative Binomial Interval Process Arising from a Dependent Bernoulli Process and Some Quality Control Applications”, Statistical Methods, Vol 6(2), pp. 41-56, 2004.

  35. D Q Wang, C D Lai and G Y Li “Life Distribution of Series Under the Successive Damage Model”. Journal of Systems Science and Complexity 16(2), pp. 191-194, 2003.

  36. S Kotz, C D Lai and M Xie “On the Effect of Redundancy for Systems with Dependent Components”. IIE Transactions, Vol 35, pp. 1103-1110, 2003.

  37. L Y Zhang, K Govindaraju, C D Lai and M Bebbington “Poisson DEWMA Control Chart” Communications in Statistics: Simulation and Computation, Vol 32(4), pp. 1271-1289, 2003.

  38. L Y Chan, C D Lai, M Xie, T N Goh. “A two-stage Design Procedure for Monitoring Processes with Low Fraction Nonconforming”, European Journal of Operational Research, Volume 150(2), pp. 420-436, 2003.

  39. C D Lai, M Xie and D N P Murthy. “A Modified Weibull distribution”, IEEE Transactions in Reliability, Vol 52(1), pp. 33-37, 2003.

  40. C D Lai and M Xie “Relative Ageing for Two Parallel Systems and Related Problems, Mathematical and Computer Modelling, Vol 38, pp. 1339-1345, 2003.

  41. M Bebbington, C D Lai and K Govindaraju “Continuous sampling Plans for Markov Dependent Processes Under Limited Inspection Capacity”, Mathematical and Computer Modelling, Vol 38, pp. 1137-1145, 2003.

  42. G Jones and C D Lai “Some Parametric Chain Models”. The Mathematical Scientists, Vol 27, pp. 117-125, 2002.

  43. C D Lai, M Xie, Poh, K L, Dai, Y S and Yang,. “A Model for Availability Analysis of Distributed Software/Hardware Systems”. Information and Software Technology, Vol 6 (15), 2002, pp. 343-350.

  44. C D Lai, P L Y Chan and M Xie “Distribution of Runs in a Two-stage Process Monitoring Model”, Communications in Statistics: Simulation and Computation, Vol 30 (3), pp. 547-557, 2001

  45. S Cronin, M S Bebbington and C D Lai, “A Probabilistic Assessment of Eruption Recurrence on Taveuni Volcano, Fiji”, Bulletin of Volcanology, Vol 63, pp. 274-288, 2001.

  46. D Paton, D M Johnston, M S Bebbington , C D; Lai and B F Houghton “Direct and vicarious experience of volcanic hazards: implications for risk perception and adjustment adoption”, Australian Journal of Emergency Management, Vol. 15(4), pp. 58-62, 2000.

  47. G Jones, C D Lai and Rayner, J C W “A Bivariate Gamma Mixture Distribution”, Communications in Statistics: Theory and Methods, Vol 29 (No12), pp. 2775-2790, 2000.

  48. G Jones, C D Lai and J C W Rayner, “Some Results for a Chain Binomial Model”, The Mathematical Scientist, Vol 25 (No 2), pp. 94-99, 2000.

  49. Xie, M, Goh, T N, X S Lu and C D Lai, “Monitoring of a Serially-Correlated Manufacturing Process”. Industrial Engineering Research Journal, Vol.2 (No.1), pp. 5-20, 2000.

  50. C D Lai M Xie and K Govindaraju “Study of a Markov Model for High Quality Dependent Process", Journal of Applied Statistics, Vol 27 (No 4), pp 461-473, 2000.

  51. C D Lai M Xie “A New Family of Positive Quadrant Dependent Bivariate Distributions”, Statistics and Probability Letters, Vol 46, pp. 359-364, 2000.

  52. K Govindaraju, C D Lai and M Xie. “A Study of Possible Contradicting Results Under Single Sampling Inspection Plan”. Economic Quality Control, Vol 14 (No 3/4), pp. 153-162, 1999.

  53. D M Johnston, M B Bebbington, C D Lai, B F Houghton, and D Paton “Volcanic Hazard Perceptions: Comparative Shifts in Knowledge and Risk”, Disaster Prevention and Management, Vol 8(2), pp. 118-126, 1999.

  54. K Govindaraju and C D Lai “Design of Multiple Run Sampling Plan”, Communications in Statistics: Simulation and Computation, Vol 28, pp. 1-11, 1999.

  55. M Bebbington and C D Lai “A Generalised Negative Binomial and Applications” Communications in Statistics A: Theory and Methods, Vol 27(10), pp. 2515-2533, 1998.

  56. C D Lai, J C W Rayner and T P Hutchinson “Robustness of The Sample Correlation - The Bivariate Lognormal Case”, Journal of Applied Mathematics and Decision Sciences, Vol 3(1), pp.7-19,1999.

  57. X S Lu, M Xie, T N Goh and C D Lai “A Control Chart for Multivariate Attribute Processes”, International Journal of Production Research, Vol 36 (12), pp. 3477-3489, 1998.

  58. K Govindaraju and C D Lai “Statistical Design of Control Schemes for Low Fraction Nonconforming”, Quality Engineering, Vol 11 (1), pp. 15-19, 1998.

  59. M Xie, X S Lu, T N Goh and C D Lai “A Procedure for Monitoring High Quality Processes with Correlated Measurement.”, International Journal of Reliability, Quality and Safety Engineering, Vol 5(2), pp. 147-156,1998.

  60. C D Lai, K Govindaraju and M Xie. “Effects of Correlation on Fraction Nonconforming SPC procedures”, Journal of Applied Statistics, Vol 25(4), pp. 535-543, 1998.

  61. D Shi and C D Lai “Fisher Information For Downton”s Bivariate Exponential Distribution”, Journal of Statistical Computation and Simulation, Vol 60, pp. 123-127, 1998.

  62. K Govindaraju and C D Lai “A Modified ChSP-1 Chain Sampling Plan, with Very Small Sample Sizes”, American Journal of Mathematical and Management Sciences, Vol 18 (No.3 & 4), pp 343-358, 1998.

  63. M Xie and C D Lai “On Reliability Bounds via Conditional Inequalities”, Journal of Applied Probability, Vol 35, pp. 104-114, 1998.

  64. N. H De Silva, C D Lai and R D Ball “Fitting SB Distributions to Fruit Sizes with Implications for Prediction Methods”, Journal of Agricultural, Biological and Environmental Statistics (Published by AMS and the International Biometry Society), Vol 2 (3), pp. 333-346, 1997.

  65. C D Lai “Recurrent Event Process of a Success preceded by a Failure and Its Applications”, Journal of Applied Mathematics and Decision Sciences, Vol 1(2), pp. 101-117, 1997.

  66. M Bebbington and C D Lai “Statistical Analysis of New Zealand Volcanic Occurrence Data”, Journal of Volcanology and Geothermal Research, Vol 74, pp. 101-110, 1996.

  67. M Xie and C D Lai “Exploiting Symmetry in the Reliability Analysis of Coherent system”, Naval Research Logistics, Vol.43(7), pp.1025-1034, 1996.

  68. M Xie and C D Lai “On the Increase of the Expected Lifetime by Parallel Redundancy”, Asia-Pacific Journal of Operational Research, Vol 13(2), pp.171-179, 1996.

  69. M Xie and C D Lai “Reliability Analysis Using an Additive Weibull Model with Bathtub-shaped Failure Rate Function”, Reliability Engineering and System Safety, Vol. 52, pp. 87-93, 1996.

  70. C D and D Q Wang “A Finite Range Discrete Life Distribution”, International Journal of Reliability, Quality and Safety Engineering, Vol 2(2), pp.147-160, 1995.

  71. C D Lai “Construction of Bivariate Distributions by a Generalised Trivariate Reduction Technique”, Statistics and Probability Letters,Vol 25(3), pp. 265-270, 1995.

  72. C D Lai and S Ganesalingam) “A Statistical Analysis of Profiles and Problems of Recent Chinese immigrants”, New Zealand Statistician, Vol 29, pp. 24-36, 1994.

  73. C D Lai “Tests of Univariate and Bivariate Stochastic Ageing”, IEEE Transactions on Reliability, Vol R-43(2), pp. 233-241, 1994.

  74. C D Lai “Profiles and Problems of Recent Chinese Immigrants”, Many Voices, Vol. 7, pp. 15-19, 1994.

  75. T P Hutchinson and C D Lai “As Regards Reliability, What is in the Encyclopedia of Statistical Sciences”, Safety and Reliability, Vol.,13 (No 1), pp. 13-21, 1993.

  76. C D Lai D Q Wang “A Multiple Exponential Smoothing Scheme for Quality Control”, Applications of Statistics and Management, Vol 12 (No 6), pp .46-54, 1993.

  77. C D Lai and D Q Wang “An Application of Double Exponential Smoothing Technique to Quality Control”, Applications of Statistics and Management ,Vol 12 ( No5), pp. 43-48, 1993.

  78. C D Lai “Bounds on Reliability of a k-out-of-n System”, Microelectronics and Reliability, Vol 33, pp. 697-703, 1993.

  79. T P Hutchinson and C D Lai “Concepts of Stochastic Ageing - Who Cares”“ Safety and Reliability , Vol. 12 (No3), pp. 7-12, 1992.

  80. M S Bebbington and C D Lai “On Nonhomogeneous Models for Volcanic Eruptions”, Journal of Mathematical Geology, Vol 28 (5), pp. 585-600, 1996.

  81. C D Lai “What is Statistical Reliability Theory”, New Zealand Statistician,Vol 27, pp. 68-82, 1992.

  82. C D Lai “Comments on ‘Multivariate distributions for the life lengths of components of a system sharing a common environment’”, Journal of Applied Probability, Vol 24, pp. 288-289, 1987.

  83. C D Lai “Bounds on Reliability of a Coherent System with Positively Correlated Components”, IEEE Transactions on Reliability, Vol R-35, pp. 508-511, 1986.

  84. C D Lai “Bounds on System Reliability when Components are Dependent”, Microelectronics and Reliability, Vol 26, pp. 455-459, 1986.

  85. C D Lai and S P Mukherjee “A note on “A finite range of failure times”“, Microelectronics and Reliability, Vol 25, pp. 183-189, 1986.

  86. C D Lai “Simulation of a Certain Queueing System via Minitab”, The New Zealand Statistician, Vol 20, pp. 15-19, 1985.

  87. C D Lai “On the Reliability of a Standby System Composed of Two Dependent Exponential Components”, Communications in Statistics - Theory and Methods, Vol 14(4), pp. 851-860, 1985.

  88. C D Lai and T Moore “Probability Integrals of a Bivariate Gamma Distribution”, Journal of Statistical Computation and Simulation, Vol 19, pp. 205-213, 1984.

  89. C D Lai “Meixner Classes and Meixner Hypergeometric Distributions”, Australian Journal of Statistics, Vol. 24, pp. 221-233, 1982.

  90. C D Lai “A Review of Randomised Response Survey Models”, No 12, Occasional Publications in Mathematics, Massey University, 1982.

  91. C D Lai “A Characterisation of Gamma, Meixner's Hypergeometric and Negative Binomial Distributions Based on Canonical Measures”, Annals of the Institute of Statistical Mathematics, Vol. 34, pp. 359-36, 1982.

  92. C D Lai “On Conditional Correlation Coefficients of a Wold”s Markov Process of Gamma Intervals”, Australian Journal of Statistics, Vol. 23, pp.232-237, 1981.

  93. C D Lai and D Vere-Jones “Odd Man Out - the Meixner Hypergeometric Distribution”, Australian Journal Statistics , Vol. 21, pp. 256-265, 1979.

  94. C D Lai “A Note on Central Limit Theorem for the Wold's Markov Process of Gamma Intervals”, Tamkang Journal of Mathematics, Vol 9, pp. 209-215,1978.

  95. C D Lai “First Order Autoregressive Markov Processes”, Stochastic Processes and Applications, Vol 7, pp. 65-72, 1978.

  96. C D Lai “A Note on the Variance Time Curve of a Wold’s Point Process”, The Journal of National Chiao Tung University, Vol 5, pp. 77-80, 1978.

  97. C D Lai “A Note on a Family of Hyperbolic Secant Distributions”, The Journal of National Chiao Tung University, Vol 5, pp. 73-76, 1978.

  98. C D Lai “A Note on Gumbel's Bivariate Distribution”, Indian Journal of Mathematics, Vol. 20, pp. 29-32, 1978.

  99. C D Lai “Morgenstern's Bivariate Distributions and its Applications to Point Processes”, Journal of Mathematical Analysis and Applications, Vol 65, pp.247-256, 1978.

  100. C D Lai “An Example of Wold's Point Process with Markov-dependent Intervals”, Journal of Applied Probability, Vol 15, pp. 748-758, 1978.

  101. C D Lai “Canonical Correlation Coefficients and Fourier Coefficients”, Indian Journal of Mathematics, Vol 19, pp. 25-34, 1977.

  102. C D Lai “The Spectrum of a Discrete Wold's Point Process”, Mathematics Chronicle, Vol 6, pp. 90-112, 1977.

  103. C D Lai “A Survey of Meixner's Hypergeometric Distribution”, Mathematics Chronicle, Vol 6, pp. 6-20, 1977.

  104. C D Lai “A Two-dimensional “Immigration-branching” Model with Application to Earthquake Occurrence Times and Energies”, Journal of Applied Probability, Vol 14. pp. 464-474, 1977.