Indian Institute of Technology Kharagpur

Somesh Kumar

Ph.D.(IIT Kanpur)

Professor, Mathematics
Warden, B C Roy Hall

S Kumar joined the Institute in 1994

Contact Addresses

Residence	A-121, IIT Campus, Kharagpur 721302
Phone (office)	+91 - 3222 - 283662
Phone (residence)	+91 - 3222 - 283663 (IIT Phone) +91 - 3222 - 277828 (Private Phone)
email	smsh @ maths.iitkgp.ernet.in
More Information	http://www.facweb.iitkgp.ernet.in/~smsh/

Research Areas

Member of Professional Bodies

Member, Editorial Board

Publications: 2012 - 2013

Estimating common mean of a bivariate normal population with order restricted variances by M. R. Tripathy and Somesh Kumar Calcutta Statistical Association Bulletin, V. 63, No. 249-252, (2011)
Estimating common standard deviation of two normal populations with ordered means by M. R. Tripathy, Somesh Kumar & N. Pal Statistical Methods & Applications, DOI 10.1007/s10260-0 (2012)
Construction of ternary orthogonal arrays from sum-invariant balanced arrays by K. Sinha, Somesh Kumar & A. Ghosh International Journal of Mathematics and Computation, V. 19, No. 2, pp. 27 (2013)
Estimation of the Shannons Entropy of Several Shifted Exponential Populations by S. Kayal and Somesh Kumar Statistics and Probability Letters, V. 83, pp.1127-1135 (2013)

Publications: 2011 - 2012

Estimating Quantiles of Normal Populations with a Common Mean. by Somesh Kumar and M. R. Tripathy Communications in Statistics - Theory and Methods, 40, 2719-2736 (2011)
Simulatneous estimation of hazard rates of several exponential populations by A.K. Mahapatra, Somesh Kumar and P. Vellaisamy Statistica Neerlandica, doi:10.1111/j.1467-9 (2011)
Estimating entropy of an exponential population under linex loss function by S. Kayal and Somesh Kumar J. Indian Statistical Association, 49, 91-112 (2011)
Simultaneous estimation of quantiles of normal populations with ordered means by M. R. Tripathy and Somesh Kumar Journal of Combinatorics, Information & System Sciences, 36, 75-102 (2011)
Estimating parameters of the selected inverse Gaussian distribution – A simulation study by A. K. Gangopadhyay and Somesh Kumar Journal of Combinatorics, Information & System Sciences, 36, 1-23 (2011)
On estimating the Shannon entropy of several exponential populations by S. Kayal and Somesh Kumar International Journal of Statistics and Economics, 7, 42-52 (2011)

Publications: 2010 - 2011

Estimating a common mean of two normal populations by M. R. Tripathy and Somesh Kumar Journal of Statistical Theory and Applications, V. 9, pp. 197-215 (2010)

Publications: 2009 - 2010

Construction of ternary orthogonal arrays by Kronecker sum by K. Sinha, Somesh Kumar and A. Sen Gupta Journal of Statistics and Applications, V.4, pp. 475-478 (2009)
Reliability estimation of the selected exponential populations by Somesh Kumar, A.K. Mahapatra and P. Vellaisamy Statistics and Probability Letters, V. 79, pp. 1372-1377 (2009)
Estimating the mean of a lognormal population under restrictions by Y. M. Tripathi, Somesh Kumar and T. Srivastava International J. of Appl. Math. and Statistics, ., V. 15, pp. 16-31 (2009)

Publications: 2008 - 2009

Estimation of a truncated inverse Gaussian mean by Y. M. Tripathi and Somesh Kumar J. Ind. Statist. Assoc., V. 45, No.2, 205-223 (2007)
Estimating a restricted normal mean by Somesh Kumar and Y. M. Tripathi Metrika, V. 68, 271-288 (2008)
OLS Regression Model for CE: A Case Study by T. Srivastava and Somesh Kumar Bulletin of Statistics & Economics, V. 3, S09, 84-88 (2009)

Publications: 2007 - 2008

A revisit to the common mean problem: comparing the maximum likelihood estimator with the Graybill-Deal estimator by N. Pal, J. Lin, C. Chang and Somesh Kumar Computational Statistics and Data Analysis, V. 51, pp. 5673-5681 (2007)
Statistical model for attainment in schooling: a HCI analysis. , by T. Srivastava and Somesh Kumar Bulletin of Statistics & Economics, V. 2, S08, 101-107 (2008)
Admissibility of the Pitman estimator of ordered location parameters. by Somesh Kumar, A. Kumar and T. Srivastava International J. of Appl. Math. and Statistics, V. 13, M08. 78-85 (2008)

Publications: 2006 - 2007

Estimating a positive normal mean by Y. M. Tripathi & Somesh Kumar Statistical Papers, V. 48, pp. 609-629 (2007)
Simultaneous estimation of lognormal means under order restrictions by Y. M. Tripathi, Somesh Kumar & T. Srivastava Bulletin of Statistics & Economics, V. 1, No. S07, pp. 7 (2007)
Multipartite entanglement configurations: Combinatorial offshoots into (hyper)graph theory and their ramifications by S.P. Pal, Somesh Kumar & R. Srikanth AIP CP, 864, pp. 156-170 (2006)

Publications: 2005 - 2006

A note on the Pitman estimator of ordered normal means when the variances are unequal by Somesh Kumar, A. Kumar & Y.M. Tripathi Communications in Statistics- Theory & Methods, V.34, pp. 2115-2112 (2005)
Estimating average worth of the selected subset from two-parameter exponential populations by A. K. Gangopadhyay & Somesh Kumar Communications in Statistics-Theory & Methods, 34, pp. 2257-2267 (2005)
On estimating the middle of three ordered normal means with applications to ecology by Somesh Kumar and Y. M. Tripathi International J. of Ecological Economics & Statistics, V.3, N0. S05, 62-71 (2005)
A combinatorial approach for studying LOCC transformations of multipartite states by S.K. Singh, S.P. Pal, Somesh Kumar & R. Srikanth J. of Mathematical Physics, V.46, 122105(1-22) (2005)

Some Earlier Publications

A diiferential inequality for improving the Graybill-Deal estimator by Somesh Kumar Proc. Int. Conf. On Math. Modelling, PP 367 - 370 (2001)
A note on estimating moments of a selected uniform population. by Somesh Kumar & Y.M. Tripathi J. Ind. Statist.�Assoc., 41 PP 129-140 (2003)
Keeping track of heart patients using ECG-Biotelemetry by A. Ojha, Somesh Kumar & S. Chakrabarti Proc. Int. Conf. Computers and Devices for Communication, PP 26 (2004)
Development of interactive software for flood frequency analysis: application in the Mahanadi river basin by G.K. Dey, S.N. Panda & Somesh Kuma Proc. Symposium on Prediction in Ungauged Basins for Sustainable Water resources Planning and Manage, PP 121-134 (2004)