Dr. Asok K. Nanda

Academic Background

  1. PhD (Reliability), Panjab University, 1998

Positions

  1. Professor, IISER Kolkata (current)
  2. Associate Professor, IISER Kolkata (2008 - 2013)
  3. Assistant Professor, Indian Institute of Technology Kharagpur (2000 - 2008)
  4. Lecturer, Panjab University (1992 - 2000)

1. The lifetime, say $X$, of a unit (that could be a living organism, a mechanical component or a system of components) is a random variable. If $Y$ denotes the lifetime of another unit, then the comparison of $X$ and $Y$ is a problem of interest in Reliability, Biometry, Engineering, Econometrics, Actuarial Sciences and many other fields. It may happen that even if $X$ is, on the average, smaller than Y, the actual realization of $X$ may be larger than that of $Y$. The study of this type of question is my primary interest.

2. Another main interest of mine is the study of different ways of formalizing the idea that one random variable is more/less variable than the other random variable.

3.Every system (it could be a car, a machine or something else) has some maintenance cost. After some time, although the system is functioning, its maintenance cost goes up in such a way that it becomes economical to replace the system. To find an optimal time of replacement of the system along with different properties of maintenance policies is another interest of mine.

  1. Chowdhury, Shovan and Nanda, Asok K...2018."A New Lifetime Distribution with Applications in Inventory and Insurance." Communications in Statistics-Theory and Methods, 35, 527-544
  2. Hazra, Nil Kamal; Kuiti, Mithu Rani; Finkelstein, Maxim and Nanda, Asok K... 2018."On Stochastic Comparisons of Minimum Order Statistics from the Location-scale Family of Distributions." Metrika, 81, 105-123
  3. Kundu, Pradip andNanda, Asok K.... 2018."Reliability Study of Proportional Odds Family of Discrete Distributions." Communications in Statistics-Theory and Methods, 47, 1091-1103
  4. Hazra, Nil Kamal andNanda, Asok K... 2017."General Standby Allocation in Series and Parallel Systems." Communications in Statistics-Theory and Methods, 46, 9842-9858
  5. Hazra, Nil Kamal; Kuiti, Mithu Rani; Finkelstein, Maxim and Nanda, Asok K.... 2017."On Stochastic Comparisons of Maximum Order Statistics from the Location-Scale family of Distributions." Journal of Multivariate Analysis, 160, 31-41
  6. Das, Suchismita and Nanda, Asok K... 2017."Some Ageing Properties of Dynamic Additive Mean Residual Life Model." Rashi, 2, 26-33
  7. Nanda, Asok K..; Hazra, Nil Kamal; Al-Mutairi, D. K. and Ghitany, M. E.. 2017."On Some Generalized Ageing Orderings." Communications in Statistics-Theory and Methods, 46, 5273-5291
  8. Chowdhury, Shovan; Mukherjee, Amitava and Nanda, Asok K... 2017."On Compounded Geometric Distributions and their Applications." Communications in Statistics - Simulation and Computation, 46, 1715-1734
  9. Hazra, Nil Kamal andNanda, Asok K.. 2016."Stochastic Comparisons Between Used Systems and Systems Made by Used Components." IEEE Transactions on Reliability, 65, 751-762
  10. Kundu, Pradip and Nanda, Asok K... 2016."Redundancy Allocation in a System : A Brief Review." Rashi, 1, 15-23
  11. Kundu, Pradip; hazra, Nil Kamal and Nanda, Asok K... 2016."Reliability study of a coherent system with single general standby component." Statistics and Probability Letters, 110, 25-33
  12. Kundu, Amarjit; Chowdhury, Shovan; Nanda, Asok K.. and Hazra, Nil Kamal. 2016."Some Results on Majorization and Their Applications." Journal of Computational and Applied Mathematics, 301, 161-177
  13. Hazra, Nil Kamal and Nanda, Asok K.. 2016."On Some Generalized Orderings : In the Spirit of Relative Ageing." Communications in Statistics-Theory and Methods, 45, 6165-6181
  14. Kundu, Amarjit and Nanda, Asok K... 2016."On Study of Dynamic Survival and Cumulative Past Entropies." Communications in Statistics-Theory and Methods, 45, 104-122
  15. Kundu, Chanchal and Nanda, Asok K... 2015."Characterizations based on Measure of Inaccuracy for Truncated Random Variables." Statistical Papers, 56, 619-637
  16. Hazra, Nil Kamal and Nanda, Asok K... 2015."A Note on Warm Standby System." Statistics and Probability Letters, 106, 30-38
  17. Hazra, Nil Kamal and Nanda, Asok K.. and Shaked, Moshe. 2014."Some Ageing Properties of Parallel and Series Systems with a Random Number of Components." Naval Research Logistics, 61, 238-243
  18. Hazra, Nil Kamal and Nanda, Asok K... 2014."Some Results on Series and Parallel Systems of Randomized Components." Operations Research Letters, 42, 132-136
  19. Nanda, Asok K..; Sankaran, P. G. and Sunoj, S. M.. 2014."Renyi's Residual Entropy : A Quantile Approach." Statistics and Probability Letters, 85, 114-121
  20. Bhattacharjee, Subarna; Nanda, Asok K.. and Misra, Satya Kumar. 2013."Inequalities involving Expectations to Characterize Distributions." Statistics and Probability Letters, 83, 2113-2118
  21. Nanda, Asok K..; Das, Suchismita and Balakrishnan, N.. 2013."On Dynamic Proportional Mean Residual Life Model." Probability in the Engineering and Informational Sciences, 27, 553-588
  22. Nanda, Asok K.. and Hazra, Nil Kamal. 2013."Some Results on Active Redundancy at Component Level versus System Level." Operations Research Letters, 41, 241-245
  23. Bhattacharjee, Subarna; Nanda, Asok K.. and Misra, Satya Kr.. 2013."Reliability Analysis using Ageing Intensity Function." Statistics and Probability Letters, 83, 1364-1371
  24. Nanda, Asok K.. and Das, Suchismita. 2013."Some Ageing Properties of Marshall-Olkin Extended Distribution." International Journal of Mathematics and Statistics, 13, 93-107
  25. Das, Suchismita and Nanda, Asok K... 2013."Some Stochastic Orders of Dynamic Additive Mean Residual Life Model." Journal of Statistical Planning and Inference, 143, 400-407
  26. Sunoj, S. M.; Sankaran, P. G. and Nanda, Asok K... 2013."Quantile based Entropy Function in Past Lifetime." Statistics and Probability Letters, 83, 366-372
  27. Bhattacharjee, Subarna; Nanda, Asok K. and Alam, S. S.. 2012."Study on Posbist Systems." International Journal of Quality, Statistics and Reliability, 2012, 1-7
  28. Nanda, Asok K.. and Das, Suchismita. 2012."Stochastic Orders of Marshall- Olkin Extended Distribution." Statistics and Probability Letters, 82, 295-302
  29. Nanda, Asok K.. and Kundu, Amarjit. 2011."On Improvement and Deterioration of a Repairable System Under Generalized Stochastic Orders." Calcutta Statistical Association Bulletin, 63, 259-272
  30. Al-Mutairi, Dhaifalla K.;Nanda, Asok K.. and Soland, Richard M.. 2011."Monotonicity and Comparability in Ballistic Missile Defense Systems." Journal of Statistical Planning and Inference, 141, 2191-2200
  31. Nanda, Asok K.. and Das, Suchismita. 2011."Dynamic Proportional Hazard Rate and Reversed Hazard Rate Models." Journal of Statistical Planning and Inference, 141, 2108-2119
  32. Nanda, Asok K.. and Kundu, Amarjit. 2011."Comparison of Two Repairable Systems." Statistics and Probability Letters, 81, 446-450
  33. Sengupta, Debasis and Nanda, Asok K... 2010."The Proportional Reversed Hazards Regression Model." Journal of Applied Statistical Science, 18, 461-476
  34. Maiti, Sudhansu S.; Saha, Mahendra andNanda, Asok K... 2010."On Generalizing Process Capability Indices." ournal of Quality Technology and Quality Management, 7, 279-300
  35. Kundu, Chanchal and Nanda, Asok K... 2010."On Generalized Mean Residual Life of Record Values." Statistics and Probability Letters, 80, 797-806
  36. Nanda, Asok K... 2010."Characterization of Distributions through Failure Rate and Mean Residual Life Functions." Statistics and Probability Letters, 80, 752-755
  37. Kundu, Chanchal; Nanda, Asok K.. and Maiti, Sudhansu S.. 2010."Some Distributional Results Through Past Entropy." Journal of Statistical Planning and Inference, 140, 1280-1291
  38. Nanda, Asok K.; Bhattacharjee, Subarna and Balakrishnan, Narayanaswamy. 2010."Mean Residual Life Function, Associated Orderings and Properties." IEEE Transactions on Reliability, 59, 55-65
  39. Kundu, Chanchal and Nanda, Asok K... 2010."Some Reliability Properties of the Inactivity Time." Communications in Statistics -Theory and Methods, 39, 899-911
  40. Nanda, Asok K.. and Kundu, Amarjit. 2009."On Generalized Stochastic Orders of Dispersion-Type." Calcutta Statistical Association Bulletin, 61, 155-182
  41. Maiti, Sudhansu S. and Nanda, Asok K... 2009."A loglikelihood-based shape measure of past lifetime distribution." Calcutta Statistical Association Bulletin, 61, 303-320
  42. Kundu, Chanchal; Nanda, Asok K.. and Hu, Taizhong. 2009."A Note on Reversed Hazard Rate of Order Statistics and Record Values." Journal of Statistical Planning and Inference, 139, 1257-1265
  43. Belzunce, Felix; Nanda, Asok K..; Ortega, Eva-Maria and Ruiz, Jose M.. 2008."Generalized Orderings of Excess Lifetimes of Renewal Processes." Test, 17, 297-310
  44. Nanda, Asok K.. and Shaked, Moshe. 2008."Partial Orderings and Aging Properties of Order Statistics when the Sample Size is Random: A Brief Review." Communications in Statistics- Theory & Methods, 37, 1710-1720
  45. Nanda, Asok K.. and Maiti, Sudhansu S.. 2007."Renyi Information Measure for a Used Item." Information Sciences, 177, 4161-4175
  46. Nanda, Asok K..; Bhattacharjee, Subarna and Alam, S. S.. 2007."Properties of Aging Intensity Function." Statistics and Probability Letters, 77, 365-373
  47. Hu, Taizhong; Kundu, Amarjit and Nanda, Asok K... 2007."A Note on Bayesian Imperfect Repair Model." Journal of Applied Statistical Science, 15, 407-411
  48. Nanda, Asok K.. and Das, Samhita. 2006."Study on R-norm Residual Entropy." Calcutta Statistical Association Bulletin, 58, 197-209
  49. Nanda, Asok K.. and Paul, Prasanta. 2006."Some Results on Generalized Past Entropy." Journal of Statistical Planning and Inference, 136, 3659-3674
  50. Nanda, Asok K.. and Paul, Prasanta. 2006."Some Properties of Past Entropy and their Applications." Metrika, 64, 47-61
  51. Nanda, Asok K..; Bhattacharjee, Subarna and Alam, S. S.. 2006."On Up Shifted Reversed Mean Residual Life Order." Communications in Statistics- Theory & Methods, 35, 1513-1523
  52. Nanda, Asok K..; Bhattacharjee, Subarna and Alam, S. S.. 2006."Properties of Proportional Mean Residual Life Model." Statistics and Probability Letters, 79, 880-890
  53. Nanda, Asok K.. and Maiti, Sudhansu S.. 2006."Generalized Residual Information, Log likelihood and an Intrinsic Residual Life Distribution Measure." Statistical Methods, NA, 77-88
  54. Nanda, Asok K... 2006."Properties of Generalized Residual Entropy." Statistical Methods, NA, 23-36
  55. Nanda, Asok K.. and Paul, Prasanta. 2006."Some Results on Generalized Residual Entropy." Information Sciences, 176, 27-47
  56. Nanda, Asok K.K.; Misra, Neeraj; Paul, Prasanta and Singh, Harshinder. 2005."Some Properties of Order Statistics When Sample Size is Random." Communications in Statistics- Theory & Methods, 34, 2105-2113
  57. Nanda, Asok K... 2005."Discrete Life Distributions with Decreasing Reversed Hazard." Sankhya, 67, 106-125
  58. Nanda, Asok K.. and Paul, Prasanta. 2004."Corrections to "An Observation from DMRL Life Distribution"." Statistical Methods, 6, 235
  59. Nanda, Asok K.. and Gupta, Rameshwar D.. 2004."Corrections to "Some Properties of Reversed Hazard Rate Function"." Statistical Methods, 6, 90-91
  60. Nanda, Asok K.. and Paul, Prasanta. 2004."An Observation from DMRL Life Distribution." Statistical Methods , 6, 57-65
  61. Nanda, Asok K..; Singh, Harshinder; Misra, Neeraj and Paul, Prasanta. 2004."Addendum: Reliability Properties of Reversed Residual Lifetime." Communications in Statistics - Theory & Methods , 33, 991-992
  62. Hu, Taizhong; Nanda, Asok K..; Xie, Huiliang and Zhu, Zegang. 2004."Properties of Some Stochastic Orders: A Unified Study." Naval Research Logistics , 51, 193-216
  63. Hu, Taizhong; Ma, Min and Nanda, Asok K... 2004."Characterizations of Generalized Ageing Classes by Excess Lifetime." Southeast Asian Bulletin of Mathematics, 28, 279-285
  64. Nanda, Asok K..; Singh, Harshinder; Misra, Neeraj and Paul, Prasanta. 2003."Reliability Properties of Reversed Residual Lifetime." Communications in Statistics - Theory & Methods , 32, 2031-2042
  65. Nanda, Asok K.. and Paul, Prasanta. 2003."Tests for Reversed Hazard Rate Function." Calcutta Statistical Association Bulletin, 54, 181-193
  66. Hu, Taizhong; Ma, Min and Nanda, Asok K... 2003."Moment Inequalities for Discrete Ageing Families." Communications in Statistics-Theory & Methods , 32, 61-90
  67. Gupta, Rameshwar D. and Nanda, Asok K... 2002."? and ?-Entropies and Relative Entropies of Distributions." Journal of Statistical Theory and Applications, 1, 177-190
  68. Nanda, Asok K.. and Gupta, Rameshwar D.. 2001."Some Properties of Reversed Hazard Rate Function." Statistical Methods , 3, 108-124
  69. Nanda, Asok K.. and Shaked, Moshe. 2001."The Hazard Rate and Reversed Hazard Rate Orders, with Applications to Order Statistics." The Annals of the Institute of Statistical Mathematics, 53, 853-864
  70. Gupta, Rameshwar D. and Nanda, Asok K... 2001."Some Results on Reversed Hazard rate Ordering." Communications in Statistics-Theory & Methods, 30, 2447-2457
  71. Lillo, Rosa E.; Nanda, Asok K.. and Shaked, Moshe. 2001."Preservation of Some Likelihood Ratio Stochastic Orders by Order Statistics." Statistics and Probability Letters , 51, 111-119
  72. Nanda, Asok K... 2000."Generalized Ageing Classes in terms of Laplace Transforms." Sankhya, 62, 258-266
  73. Sengupta, Debasis and Nanda, Asok K... 1999."Log-Concave and Concave Distributions in Reliability." Naval Research Logistics , 46, 419-433
  74. Nanda, Asok K.. and jain, Kanchan. 1999."Some Weighted Distribution Results on Univariate and Bivariate Cases." Journal of Statistical Planning and Inference , 77, 169-180
  75. Nanda, Asok K... 1998."Optimal Replacement in a Discrete Time Shock Model." Opsearch, 35, 338-345
  76. Nanda, Asok K..; Jain, Kanchan and Singh, Harshinder. 1998."Preservation of Some Partial Orderings under the Formation of Coherent Systems." Statistics and Probability Letters , 39, 123-131
  77. Nanda, Asok K... 1997."On Improvement and Deterioration of a Repairable System." IAPQR Transactions , 22, 107-113
  78. Nanda, Asok K..; Jain, Kanchan and Singh, Harshinder. 1996."Properties of Moments for s-Order Equilibrium Distributions." Journal of Applied Probability , 33, 1108-1111
  79. Nanda, Asok K..; Jain, Kanchan and Singh, Harshinder. 1996."On Closure of Some Partial Orderings under Mixtures." Journal of Applied Probability , 33, 698-706
  80. Nanda, Asok K.. and Jain, Kanchan. 1996."A Note on Two New Ageing Properties." IAPQR Transactions, 21, 109-117
  81. Jain, Kanchan Nanda, Asok K... 1995."On Multivariate Weighted Distributions ." Communications in Statistics - Theory & Methods, 24, 2517-2539
  82. Nanda, Asok K... 1995."Stochastic Orders in terms of Laplace Transforms." Calcutta Statistical Association Bulletin, 45, 185-201

Post-Doc

  • Jisha Francis

Ph.D

  • Sajib Gayan
  • Sugata Ghosh

Project Students

Prof. Asok K. Nanda
Department Department-of-Mathematics-Statistics, AAC Building,
Room No. 317,
Indian Institute of Science Education and Research Kolkata
Mohanpur 741246 West Bengal, India
E-mail : asok@iiserkol.ac.in