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Prof. Vijay Kumar

Professor and Head, Department of Mathematics & Statistics
M.Sc., Ph.D.
S.NO.ExamSpecialityInstitute/UniversityYear
1 PhDSome Estimators of the Parameters of the Life Time Distributions (Contributions to Statistical Inference) Gorakhpur University1994
  • Computational Statistics
  • Computing with R
  • Probability Distributions
S.NO.DesignationCollege/InstituteFromToTotal Exp.
1 ProfessorDDU Gorakhpur University, Gorakhpur15/11/1984 29/09/2022 (Till) 37 Years 10 Months
S.NO.YearTitle of the professional development ProgrammeDate and Duration (from – to)
1 1997Orientation Programme14.06.97 – 11.07.97
2 2004Refresher Course in Statistics09.02.04 – 29.02.04
3 2005Refresher Course in Statistics and Operations Research21.12.04– 12.01.05
4 2007International Workshop on Bayesian statistics using OpenBUGS and R10.12.07-14.12 07
5 2008Advanced Training Program(ATP) on Bayesian Statistics and Computation18.02.08–01.03.08
6 2010Refresher Course in Basic Sciences03.08.10– 23.08.10

Teaching

UG Experience: 37 Year(s)
Courses
  • Linear Regression & Data Analysis
  • Distribution Theory
  • Numerical Methods
  • Programming iwith R

PG Experience: 37 Year(s)
Courses
  • Statistical Computing
  • Computer Intensive Statistical Methods
  • Theory of Sample Surveys
  • Econometrics

Research

Total Research Experience: 34 Years
  • Computational Statistics
  • Computing with R
  • Probability Distributions
  
1 Khan, N. A., Verma, V.S.and Kumar, V. (2017). An inventory model for Gompertz deteriorating items with time-varying holding cost and price dependent demand. International Journal of Mathematics Trends and Technology(IJMTT), 49(3), 183-187. ISSN : 2231- 5373. DOI: 10.14445/22315373/IJMTT-V49P526
2 Verma, V.S.,Kumar, V. and Khan, N. A. (2017).An Inventory Model for Gompertz Distribution Deterioration Rate with Ramp Type Demand and Shortages. International Journal of Statistics and Systems, 12(2),363-373. ISSN 0973-2675
3 Pandey, A. and Kumar, V. (2016). Generalized compound Rayleigh model: A Bayes study using MCMC approach, International Journal of Statistika and Mathemtika, 21(2),  26-39. ISSN: 2249-8605
4 Verma, V. S., Kumar, V. and Khan, N. A. (2016).  AnInventory Model for Log-gamma Distribution Deterioration Rate with Ramp TypeDemand and Shortages. Res. J. Mathematical and Statistical Sci. 4(7), 7-11.ISSN: 2320-6047.
5 Joshi,R.K. and Kumar, V. (2016). Exponentiated Power Lindley Distribution : A Bayes Study using MCMC Approach, J. Nat. Acad. Math., 30, 80-102. ISSN: 0970-5228
6 Khan,N. A., V.S. Verma and Kumar, V. (2015). An Inventory Model for Log-gammaDeteriorating Items with Time-varying Holding Cost and Price Dependent Demand. J.Nat. Acad. Math. , 29,  42-48.ISSN: 0970-5228
7 Pandey, A. and Kumar, V.(2015). Bayes Estimation and Prediction of Generalized Weibull Distribution. J. Nat. Acad. Math., 29, 1-22. ISSN: 0970-5228
8 Srivastava,A. K. and Kumar, V. (2015). A Study of Several Issues of Reliability Modellingfor a Real Dataset Using Different Software Reliability Models. International Journal of Emerging Technology and AdvancedEngineering, 5(12), 49-57. ISSN 2250-2459
9 Chaudhary, A.K. and Kumar, V. (2014). Bayesian Estimation of Three-Parameter Exponentiated Log-logistic Distribution, International Journal of Statistika and Mathematika, 9(2),  66-81. ISSN: 2249-8605
10 Shrestha, S.K. and Kumar, V. (2014). Bayesian Analysis for the Generalized Rayleigh Distribution, International Journal of Statistika and Mathematika, 9(3), 118-131. ISSN: 2249-8605
11 Shrestha, S.K. and Kumar, V. (2014). Bayesian Analysis of Extended Lomax Distribution, International Journal of Mathematical Trends and Technology(IJMTT). Vol. 7, 33-41. ISSN:2231-5373. DOI: 10.14445/22315373/IJMTT-V7P505
12 Kumar, R., Srivastava, A.K. and Kumar, V. (2013).  Exponentiated Gumbel Model for Software Reliability Data Analysis using MCMC System. International Journal of Computer Applications 62(20), 24-32. ISSN : 0975 - 8887.
13 Chaudhary, A.K. and Kumar, V. (2013). Exponentiated Loglogistic distribution:A Bayesian Approach, Journal of Progressive Science, 4(1), 98-114
14 Chaudhary, A.K. and Kumar, V. (2013). A Bayesian Analysis of Perks Distribution via Markov Chain Monte Carlo Simulation, Nepal Journal ofScience and Technology, 14(1), 153-166.
15 Shrestha, S.K. and Kumar, V. (2013). Bayesian Estimation and Prediction of Exponentiated Weibull Model. International Journal of Statistika and Mathematika, 7(2), 37-48. ISSN: 2249-8605.
16 Raj Kumar, Srivastava, A.K., and Kumar, V. (2012).  Analysis of Gumbel Model for SoftwareReliability using Bayesian paradigm. International Journal of AdvancedResearch in Artificial Intelligence, Vol. 1(9), 39-45. ISSN:2165-4069
17 Srivastava, A.K. and Kumar, V. (2011) Analysis of Pham(Loglog) Reliability Model using Bayesian Approach, Computer Science Journal,  1(2), 79-100. ISSN: 2221–5905.
18 Srivastava,A.K., Kumar, V., Hakak, A.A. and Khan, M.A.(2011). Parameter Estimation of Marshall-OlkinExtended Exponential distribution using Markov Chain Monte Carlo Method forInformative set of priors, InternationalJournal of Advances in Science and Technology, Vol. 2(4), 68-85. ISSN: 2229-5216
19 Srivastava, A.K. and Kumar, V.(2011). Software Reliability Data Analysis with Marshall-OlkinExtended Weibull Model using MCMC Method for non-informative set of priors, International Journal of ComputerApplications(IJCA), 18(4), 31-39,ISSN: 0975–8887.
20 Srivastava, A.K. and Kumar, V.(2011). Markov Chain Monte Carlo Methods for Bayesian Inference of the Chen Model, International Journal of Computer Information Systems, 2(2), 07-14. ISSN:2229-5208.
21 Srivastava, A.K. and Kumar, V.(2011). Analysis of Software Reliability Data using Exponential Power Model, International Journal of Advanced Computer Science and Applications,  2(2), 38-45, ISSN:2156-5570.
22 Kumar, V. (2010). Bayesian analysis of exponential extension model. J. Nat. Acad.Math., 24, 109-128. ISSN: 0970-5228
S.NO.Title of the bookEditionAuthor(s)ISBN numberYear of publicationPublisherName of the publisher
1 A Textbook of C Programming with Computer’s Basics 1Ashwini Kumar Srivastava and Vijay Kumar978-93-81054-092016NationalNA
S.NO.Title of the paperConference/Workshop etc NameConference/Workshop etc TypeOrganised byDate:Place
1 Predictive Analysis of Reliability Models in OpenBUGSNational conference on Advances in Mathematical Science and its ApplicationsNationalDDU Gorakhpur University, Gorakhpur & ISMAMSFeb. 2015Gorakhpur
2 Bayesian Estimation of Exponentiated Gompertz distributionNational Conference on Recent Advances in Mathematics and Applications(NCRAMA-2014)NationalDepartment of Applied Mathematics, BBAU(A Central University), LucknowOct. 2014Lucknow
3 Bayesian Analysis of Lindley Type ModelsXIth National conference on Role of Mathematical Sciences in Science and TechnologyNationalDDU Gorakhpur University, Gorakhpur & ISMAMS, GorakhpurFeb. 2014Gorakhpur
4 Bayesian Analysis of an exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate functionNational conference on Recent Trends in Pure & Applied Mathematics (CORTPAM 2013)NationalDepartment of Mathematics & Statistics, DDU Gorakhpur University, GorakhpurJuly 2013Gorakhpur
5 Bayesian Analysis of Reliability Models in OpenBUGS, International Workshop/Conference on Bayesian Theory and Applications(IWCBTA), Banaras Hindu University, VaranasiInternationalDepartment of Statistics, Banaras Hindu University Jan. 2013Varanasi
6 Posterior Analysis of Generalized Modified Weibull Distribution using Markov Chain Monte CarloInternational Conference on Statistics & Information Analytics (ICSIA-2012)InternationalLoyola College, ChennaiAug. 2012Chennai
7 Bayesian Analysis of Reliability Models in OpenBUGS under censoringNational conference on Recent Trends in Mathematics & StatisticsNationalDepartment of Mathematics & Statistics, DDU Gorakhpur University, GorakhpurMarch 2012Gorakhpur
8 Bayesian Analysis of Generalized Modified Weibull DistributionNational Seminar on New Dimensions in Statistics: Concepts and Issues(NDSCI-2012)NationalDepartment of Statistics, Banaras Hindu University, VaranasiMarch 2012Varanasi
9 Reliability Models in OpenBUGS9th National Conference on Interdisciplinary Applications of Mathematical and Statistical TechniquesNationalISMAMS, GorakhpurFeb. 2012Gorakhpur
10 Software Reliability Modelling for the Marshall-Olkin Extended form of Weibull Model using Markov chain Monte Carlo MethodNational Seminar cum Workshop on Cyber Security: Challenges and Opportunities in 21st CenturyNationalDepartment of Computer Science, DDU Gorakhpur University, GorakhpurFeb. 2012Gorakhpur
11 Bayesian Analysis of Lindley distribution using Markov Chain Monte CarloInternational Conference on Statistics & Information Analytics (ICSIA-2011)InternationalLoyola College, Chennai Aug. 2011 Chennai
12 Bayesian Analysis of Modified Exponential ModelNational conference on Recent Trends in Pure & Applied Mathematics (CORTPAM 2011)NationalDepartment of Mathematics & Statistics, DDU Gorakhpur University, GorakhpurJune 2011Gorakhpur
13 Bayesian Estimation of the Inverse Generalized Exponential ModelNational Conference on Multidisciplinary Applications of Mathematical SciencesNationalISMAMS, GorakhpurFeb. 2011Gorakhpur
14 Bayesian Estimation of Logistic-Rayleigh DistributionXIX International Conference of Forum for Interdisciplinary Mathematics on Interdisciplinary Mathematical and Statistical Techniques (IMST 2010-FIM XIX)InternationalPatna University, PatnaDec. 2010Patna
15 Bayesian Analysis of Exponential Extension ModelNational conference on Recent Trends in Pure & Applied Mathematics (CORTPAM 2010)NationalDepartment of Mathematics & Statistics, DDU Gorakhpur University, GorakhpurJuly 2010Gorakhpur
16 Bayesian Estimation of the parameters of Inverse Gaussian ModelVIIth National conference on Recent Advances in Mathematical Sciences and its ApplicationsNationalISMAMS, GorakhpurFeb. 2010Gorakhpur
S.NO.Title of the paperConference/Workshop etc NameConference/Workshop etc TypeOrganised byDate:Place
1 Bayesian Analysis of Generalized Exponential Extension ModelInternational Conference on Current Status of Cross Disciplinary Research in Statistical ScienceInternationalDepartment of Statistics, Tribhuvan University, Prithvi Narayan Campus PokharaMay 08-09, 2019Pokhara, Nepal
2 Creating R Packages under Different EnvironmentsNational Conference on Recent Trends in Mathematical SciencesNationalDepartment of Mathematics & Statistics, DDU Gorakhpur University, GorakhpurNov. 2018Gorakhpur
3 Statistical Computing for Univariate Data using R and OpenBUGS2nd International Conference of Vijñana Parisad of India on Recent Trends of Computing in Mathematics, Statistics & Information TechnologiesInternationalDepartment of Mathematical Sciences & Computer Applications, Bundelkhand University, JhansiMarch 09-11, 2018Jhansi
4 Statistical Computing for Univariate DataNational Seminar on Applications of Scientific and Statistical Software ResearchNationalUP Rajarshi Tandon Open University, AllahabadMarch 30-31, 2017Allahabad
5 Creating R Packages under WindowsNational Conference on Recent Trends in Mathematical SciencesNationalDepartment of Mathematics & Statistics, DDU Gorakhpur University, GorakhpurJuly 2016Gorakhpur
6 Predictive Analysis of Reliability Models in Open BUGSNational conference on Advances in Mathematical Science and its ApplicationsNationalDDU Gorakhpur University, Gorakhpur & ISMAMSFeb. 2015Gorakhpur
7 Bayesian Modelling of Some Probability Models in OpenBUGSInternational Conference on Recent Advances in Mathematics, Statistics and Computer Science (ICRAMSCS-2015)InternationalCentral University of Bihar, BIT Patna Campus, PatnaMay 2015Patna
8 Inferential Procedures for Generalized Exponential Extension ModelIV National Conference on Statistical Inference, Sampling Techniques and Related AreasNationalDepartment of Statistics & OR, Aligarh Muslim University, AligarhFeb. 2014Aligarh
9 Bayesian Analysis of Reliability Models in OpenBUGSNational Conference on Recent Developments in Applications of Reliability Theory and Survival AnalysisNationalDepartment of Statistics, Pondicherry University, PuducherryFeb. 2012Puducherry
  
1 A Workshop on R Computing for Learning, Research and Industrial Applications, organized by KIST College of Management affiliated to Tribhuvan University, Kathmandu, Nepal, May 11-14, 2019.
 

Life member of 

1. Indian Science Congress Association (ISCA)

2. International Indian Statistical Association (IISA) 

3. Indian Statistical Association (ISA)

4. Indian Society for Probability and Statistics (ISPS)

5. Bayesian Society of India (BSI)

6. National Academy of Mathematics, India (NAMI)

7. Indian Society of Mathematics and Mathematical Sciences(ISMAMS)


  • Currently Enrolled: 4
  • Awarded:              10

S.NO.Scholar NameThesis TitleYear of Award
1 Aijaz Ahmad HakakA Study of Bayesian Statistical Modelling for Multiparameter Reliability Models2011
2 Mahmood Alam KhanThe Analysis of Reliability Models using Markov Chain Monte Carlo Simulation Methods2011
3 Ashwini Kumar SrivastavaA Study of Software Reliability Models2012
4 Arun Kumar ChaudharyStatistical Modelling of Reliability Data2013
5 Shankar Kumar ShresthaA Study of Some Statistical Models2013
6 Sarvpal Harpal Singh Some Performance issues in Mobile Distributed Real Time Database Systems2013
7 Raj KumarStatistical Modelling of Software Reliability Data2013
8 Ramesh Kumar JoshiThe Analysis of Some Statistical Models 2018
9 Amit PandeyBayesian Estimation Procedures for Actuarial Loss Models2018
10 Nurul Azeez KhanInventory Models for Different Demand Rate with and without Shortages2018

Administrative Responsibility

Awards & Fellowships

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