Introduction to Linear Regression and Experimental Design
Introduction to Probability Theory
Statistical Decision Theory
Responsibilities
Warden: Castle Tria
Professional Experience
Indian Institute of Information Technology Ranchi, Faculty, Department of Mathematics August, 2017 – May, 2018.
Indian Institute of Petroleum and Energy Visakhapatnam Assistant Professor, 25th June, 2018-24th May 2019.
Indian Institute of Technology Kanpur, Department of Mathematics and Statistics Postdoctoral Fellow under NPDF, SERB. 3rd June 2019-26th Nov, 2019.
Publications
Kayal, S., L. K. Patra, Bhakta, R. and Nadarajah, S. (2022). Ordering Results for Order Statistics from Heterogeneous Log-Logistic Distributions, American Journal of Mathematical and Management Sciences, DOI: https://doi.org/10.1080/01966324.2021.2019148
L. K. Patra and S. Kumar and C. Petropoulos (2021) Componentwise estimation of ordered scale parameters of two exponential distributions under a general class of loss function, https://doi.org/10.1080/02331888.2021.1943395, Statistics: A Journal of Theoretical and Applied Statistics
L. K. Patra and S. Kumar and C. Petropoulos (2021) Improved estimators for functions of scale parameters in mixture models, https://doi.org/10.1007/s42952-020-00099-w, Journal of the Korean Statistical Society
L. K. Patra, S. Kayal. and S. Kumar (2020) Measuring Uncertainty Under Prior Information, IEEE Transactions on Information Theory, Vol: 66(4), Pages: 2570-2580
L. K. Patra (2019) On the improved estimation of a function of the scale parameter of an exponential distribution based on doubly censored sample. https://doi.org/10.1080/02664763.2019.1688261, Journal of Applied Statistics
C. Petropoulos, L. K. Patra and S. Kumar (2019) Improved Estimators of the Entropy in Scale Mixture of Exponential Distributions, Accepted for publication in Brazilian Journal of Probability and Statistics.
L. K. Patra , S. Kayal and S. Kumar (2019) Minimax estimation of the common variance and precision of two normal populations with ordered restricted means. DOI-https://doi.org/10.1007/s00362-019-01090-2, Statistical Papers.
L. K. Patra , S. Kumar and B. M. G. Kibria (2019) Improved estimation of a function of scale parameter of a doubly censored exponential distribution. DOI-https://doi.org/10.1080/03610926.2019.1568482, Communication in Statistics-Theory and Methods.
L. K. Patra and S. Kumar (2019) Estimating the common hazard rate of several exponential distributions. DOI-https://doi.org/10.1080/03610926.2018.1500599, Communication in Statistics-Theory and Methods VOL. 48, NO. 19, 4861–4873.
L. K. Patra , S. Kayal and S. Kumar (2018) Estimating a function of scale parameter of an exponential population with unknown location under general loss function. Statistical Papers, DOI: https://doi.org/10.1007/s00362-018-1052-7
L. K. Patra and S. Kumar (2018) Estimating the common hazard rate of two exponential distributions with ordered location parameters. Statistics: A Journal of Theoretical and Applied Statistics, Vol-52, No-5, 1040-1059.
L. K. Patra, S. Kayal and P. Nanda (2018) Some stochastic comparison results of series and parallel systems with heterogeneous new Pareto-type components. Applications of Mathematics, Vol-63, No-1, 55-77.
L. K. Patra and Somesh Kumar (2017) Estimating ordered means of a bivariate normal distribution. American Journal of Mathematical and Management Sciences. Vol. 36, No. 2, 118–136.
L. K. Patra and Somesh Kumar (2017) Classes of Improved Estimators for Parameters of a Pareto Distribution. Mathematical Methods of Statistics. Vol. 26, No. 3, 226–235
N. Gupta, L. K. Patra, and S. Kumar (2015) Stochastic comparisons in systems with Frechet distributed components. Operations Research Letters, Vol. 43, 612- 615.
Book Chapter
L. K. Patra, S. Kumar and N. Gupta (2018). Estimation of the location parameter of the general half-normal distribution. In Mathematics and Computing 2018,
Eds. Ghosh et al., Springer Proceedings in Mathematics and Statistics, Chapter-22, Page 281-293.