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Murari Mitra

Academic Qualifications


  • Ph.D. (Indian Statistical Institute).
  • M. Stat. (Indian Statistical Institute): Awarded ISIAA medal for “outstanding performance” in Master of Statistics in the year 1990.
  • B. Stat. (Indian Statistical Institute).

Research Statement


  • Reliability Theory, Mathematical Statistics.
  • Operations Research, Nonparametric Inference.

Latest Publications


  • 1 Ruhul Ali Khan, Dhrubasish Bhattacharyya and Murari Mitra, On classes of life distributions based on the mean time to failure function, 58(2), Accepted for publication, Journal of Applied probability, 2020
  • 2 Ruhul Ali Khan, Dhrubasish Bhattacharyya and Murari Mitra, A change point estimation problem related to age replacement policies, 48(2), 105-108, Operations Research Letters, 2020
  • 3 Dhrubasish Bhattacharyya, Shyamal Ghosh and Murari Mitra, On a non-monotonic ageing class based on the failure rate average, Communications in Statistics-Theory and Methods, 2020
  • 4 Dhrubasish Bhattacharyya, Ruhul Ali Khan and Murari Mitra, A test of exponentiality against DMTTF alternatives via L-statistics. Statistics & Probability Letters, 165, Statistics & Probability Letters, 2020
  • 5 Dhrubasish Bhattacharyya, Ruhul Ali Khan and Murari Mitra, A nonparametric test for comparison of mean past lives, 161, Statistics & Probability Letters, 2020
  • 6 Shyamal Ghosh and Murari Mitra, On the exact distribution of generalized Hollander-Proschan type statistics, Communications in Statistics - Simulation and Computation, 2020
  • 7 Prajamitra Bhuyan, Shyamal Ghosh, Priyanka Majumder, Murari Mitra, A bivariate life distribution and notions of negative dependence, 9(1), Stat, 2020
  • 8 Priyanka Majumder, Shyamal Ghosh, Murari Mitra, Ordering results of extreme order statistics from heterogeneous Gompertz–Makeham random variables, 54(3), Statistics, 2020
  • 9 Dhrubasish Bhattacharyya, Ruhul Ali Khan and Murari Mitra, Stochastic comparisons of series, parallel and k-out-of-n systems with heterogeneous bathtub failure rate type components, 540, Physica A: Statistical Mechanics and its Applications, Accepted, 2020
  • 10 Ruhul Ali Khan and Murari Mitra, Estimation issues in the exponential–logarithmic model under hybrid censoring, Statistical Papers, Accepted, 2019
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    Research Areas


    • Nonparametric Inference.
    • Operations Research
    • Mathematical Statistics.
    • Reliability Theory

    Publications


  • 1 Ruhul Ali Khan, Dhrubasish Bhattacharyya and Murari Mitra, On classes of life distributions based on the mean time to failure function, 58(2), Accepted for publication, Journal of Applied probability, 2020
  • 2 Ruhul Ali Khan, Dhrubasish Bhattacharyya and Murari Mitra, A change point estimation problem related to age replacement policies, 48(2), 105-108, Operations Research Letters, 2020
  • 3 Dhrubasish Bhattacharyya, Shyamal Ghosh and Murari Mitra, On a non-monotonic ageing class based on the failure rate average, Communications in Statistics-Theory and Methods, 2020
  • 4 Dhrubasish Bhattacharyya, Ruhul Ali Khan and Murari Mitra, A test of exponentiality against DMTTF alternatives via L-statistics. Statistics & Probability Letters, 165, Statistics & Probability Letters, 2020
  • 5 Dhrubasish Bhattacharyya, Ruhul Ali Khan and Murari Mitra, A nonparametric test for comparison of mean past lives, 161, Statistics & Probability Letters, 2020
  • 6 Shyamal Ghosh and Murari Mitra, On the exact distribution of generalized Hollander-Proschan type statistics, Communications in Statistics - Simulation and Computation, 2020
  • 7 Prajamitra Bhuyan, Shyamal Ghosh, Priyanka Majumder, Murari Mitra, A bivariate life distribution and notions of negative dependence, 9(1), Stat, 2020
  • 8 Priyanka Majumder, Shyamal Ghosh, Murari Mitra, Ordering results of extreme order statistics from heterogeneous Gompertz–Makeham random variables, 54(3), Statistics, 2020
  • 9 Dhrubasish Bhattacharyya, Ruhul Ali Khan and Murari Mitra, Stochastic comparisons of series, parallel and k-out-of-n systems with heterogeneous bathtub failure rate type components, 540, Physica A: Statistical Mechanics and its Applications, Accepted, 2020
  • 10 Ruhul Ali Khan and Murari Mitra, Estimation issues in the exponential–logarithmic model under hybrid censoring, Statistical Papers, Accepted, 2019
  • 11 Ruhul Ali Khan and Murari Mitra, Sharp bounds for survival probability when ageing is not monotone, 33, 205–219, Probability in the Engineering and Informational Sciences, 2019
  • 12 Priyanka Majumder and Murari Mitra, A test of exponentiality against M-alternatives, 31(3), 794–812, Journal of Nonparametric Statistics, 2019
  • 13 Priyanka Majumder and Murari Mitra, A test for detecting Laplace order dominance and related Bahadur efficiency issues, 60(6), 1921–1937, Statistical Papers, 2019
  • 14 Priyanka Majumder and Murari Mitra, On a class exhibiting trend change in average failure rate, Communications in Statistics - Theory and Methods, Accepted, 2019
  • 15 Priyanka Majumder and Murari Mitra, Detecting trend change in hazard functions—an L-statistic approach., Statistical Papers, 2019
  • 16 Shyamal Ghosh and Murari Mitra, On an ageing class based on the moment generating function order, 55, 402–415, Journal of Applied Probability, 2018
  • 17 Shyamal Ghosh and Murari Mitra, A new test for exponentiality against HNBUE alternatives, 49(1), 27–43, Communications in Statistics - Theory and Methods, 2018
  • 18 Priyanka Majumder and Murari Mitra, On the non-monotonic analogue of a class based on the hazard rate order., 139, 135 – 140, Statistics Probability Letters, 2018
  • 19 Prajamitra Bhuyan, Murari Mitra and Anup Dewanji, Identifiability issues in dynamic stress--strength modeling, 70, 63--81, Annals of the Institute of Statistical Mathematics, 2018
  • 20 Shyamal Ghosh and Murari Mitra, A weighted integral approach to testing against HNBUE alternatives., 129, 58 – 64, Statistics Probability Letters, 2017
  • 21 Shymal Ghosh and Murari Mitra, A Hollander–Proschan type test when ageing is not monotone, 121, 119 – 127, Statistics Probability Letters, 2017
  • 22 Aditi Pal, Murari Mitra and M. Z. Anis, On testing exponentiality against NBAFR alternatives, 43, 1834-1844, Communications in Statistics: Theory and Methods, 2014
  • 23 M. Z. Anis and Murari Mitra, A generalized Hollander-Proschan type test for NBUE alternatives, 81(1), 126-132, Statistics and Probability Letters, 2011
  • 24 Aniruddha Pandey and Murari Mitra, Poisson shock models leading to new classes of non-monotonic aging life distributions, 51, 2412-2415, Microelectronics Reliability, 2011
  • 25 G. S. Mahapatra, Murari Mitra and T. K Roy, Intuitionistic fuzzy multi-objective mathematical programming on reliability optimization model, 12(3), 259- 266, International journal of Fuzzy Systems, 2010
  • 26 M. Z. Anis and Murari Mitra, An L-statistic approach to a test of exponentiality against IFR alternatives, 138, 3144-3148, Journal of Statistical Planning and Inference, 2008
  • 27 M. Z. Anis and Murari Mitra, An alternative simple proof of a result useful in reliability shock models, 20(2), 287-290, Economic Quality Control, 2005
  • 28 M. Z. Anis and Murari Mitra, Change point detection of failure rate functions, 30(1), 17-32, IAPQR Transactions, 2005
  • 29 M. Z. Anis and Murari Mitra, A simple test of exponentiality against NWBUE family of life distributions, 21, 45-53, Appl. Stochastic Models Bus. Ind, 2005
  • 30 M. Z. Anis and Murari Mitra, Change point detection in mean residual life function, 8, 7-71, J.Ind. Soc. Prob. Statist., 2004
  • 31 Mitra, M. and Basu, S.K, Testing exponentiality against Laplace order dominance, 36(3), 223-229, Statistics, 2002
  • 32 Mitra, M. and Basu, S.K., An optimum ordering policy and its estimation in a two-supplier inventory model with uncertainties in supplies, 265-282, Calcutta Stat. Assn. Bulletin, Golden Jubilee Issue, 2000
  • 33 Mitra, M. and Basu, S.K, A bound for the renewal function of a process driven by a non-monotonic life distribution function, 31, 339-345, Statistics, 1998
  • 34 Mitra, M. and Basu, S.K, The class of life distributions that are Laplace order dominated by the exponential law and its ramifications, Frontiers in Reliability, World Scientific., 1998
  • 35 Mitra, M. and Basu, S.K., On some propertise of the bathtub failure rate family of life distributions, 36(5), 679-684, Microelectron. Reliab, 1996
  • 36 Mitra, M. and Basu, S.K., Shock models leading to nonomonotonic ageing classes of life distributions, 55, 131-138, J.Statist. Plann.Inference, 1996
  • 37 Mitra, M. and Basu, S.K. and Bhattacharjee, M.C., Characterizing the exponential law under Laplace order domination, 45, 171-180, Calcutta Stat. Assn. Bulletin, 1995
  • 38 Mitra, M. and Basu, S.K., Change point estimation in non-monotonic ageing models, 47, 483-491, Ann. Inst. Statist. Math, 1995
  • 39 Mitra, M. and Basu, S.K., On a non-parametric family of life distributions and its dual, 39, 385-397, J.Statist. Plann.Inference, 1994
  • 40 Mitra, M. and Basu, S.K. Sujit K. Basu and Bimal. K. Sinha, Interrelationships between certain notions of non-monotonic ageing, Probability and Statistics, Eds.. Narosa Publishing House., 1993
  • Patents


    # Patents Year

    Research Groups


    Md. Zafar Anis
    Ph. D.
    zafar@isical.ac.in

    Shyamal Ghosh
    Ph. D.
    shyamalmath2012@gmail.com

    Priyanka Majumder
    M. Sc.
    priyankamjmdr@gmail.com

    Ruhul Ali Khan
    M. Sc.
    ruhulali.khan@gmail.com

    Dhrubasish Bhattacharyya
    M. Sc.
    dhrubasish018@gmail.com

    Smaranika Bera
    M. Sc.
    berasmaranika24@gmail.com

    Created: 23 November 2019