Title of the talk: "Estimation of the Number of Species"

Date , Time & Venue: 4 August 2025, 12:00 PM, Seminar Hall, Dept. of Mathematics

Abstract: In this work, we propose a Poisson-Lindley distribution as a stochastic abundance model where the sample follows an independent Poisson process. We estimate the number of species using the maximum likelihood estimation method. Jeffreys’ and Bernardo’s reference priors have been obtained, and Bayesian estimators for the number of species in this model have been proposed. These Bayesian estimators are compared with the corresponding profile and conditional maximum likelihood estimators based on their risks under the squared error loss function (SELF). Jeffreys’ and Bernardo’s reference priors are considered and compared with the Bayesian approach using biological data.

About the Speaker: Dr. Anurag Pathak, is currently working as an Assistant Research Officer (Statistics) at the Ministry of Health and Family Welfare, Uttar Pradesh, posted at the Community Health Centre in Payagpur, Bahraich, U.P. He has nine months of experience in monitoring and evaluating government health policies. Previously, he worked at Maharaja Suhel Dev Autonomous State Medical College, Bahraich (February 2024 to November 2024), and Dr. Ram Manohar Lohia Institute of Medical Sciences, Lucknow (July 2021 to February 2024). His role there included teaching biostatistics to MBBS students and research methodology to postgraduate students (MD, MS, and DNB). He also analyzes data for various research projects of faculty and students using R statistical software.

He completed a doctoral degree in statistics at Central University of Haryana in June 2022, focusing on lifetime analysis and ecological modeling. His master's degree in applied statistics from Babasaheb Bhimrao Ambedkar (A Central) University, Lucknow, in July 2015. His research interests include classical and Bayesian inference, biostatistics, and health outcomes research. He has published twenty-five research articles in the reputed journals (i.e., SCI, Scopus, PubMed & PubMed Central). Also, he participated in national and international conferences, faculty development programs.