Integrated Population Biology and Modeling Part B: Volume 40

ISBN-13: 9780444641526 / Angielski / Twarda / 2019 / 653 str.

Arni S. R. Srinivasa Rao; C. R. Rao

Spis treści

Section VI: Agent Based Models, Capture-Recapture Methods and Multi-Species Mutualism 1. An Agent-Based Model of the Spatial Distribution and Density of the Santa Cruz Island Fox Shelby M. Scott, Casey E. Middleton and Erin N. Bodine 2. Capture-Recapture Methods and Models: Estimating Population Size Ruth King and Rachel McCrea 3. Mathematical Modeling of Multispecies Mutualism: From Particular Models Toward a Generalization of the Concept Paul Georgescu, Daniel Maxin, Laurentiu Sega and Hong Zhang

Section VII: Stochastic Complexity and Structural Dynamics 4. Stochastic Models for Structured Populations Shripad Tuljapurkar and David Steinsaltz 5. Studying Complexity and Risk Through Stochastic Population Dynamics: Persistence, Resonance, and Extinction in Ecosystems Anuj Mubayi, Christopher Kribs, Viswanathan Arunachalam and Carlos Castillo-Chavez 6. Analyzing Variety of Birth Intervals: A Stochastic Approach Ram Chandra Yadava and Piyush Kant Rai

Section VIII: GWAS, Species Divergence and Bayesian Item Response Theory 7. Detection of Quantitative Trait Loci From Genome-Wide Association Studies David A. Spade 8. Bayesian Item Response Theory for Cancer Biomarker Discovery K. Ramachandra Murthy, Salendra Singh, David Tuck and Vinay Varadan 9. Effects of Phenotypic Plasticity and Unpredictability of Selection Environment on Niche Separation and Species Divergence Narayan Behera

Section IX: Aging and Age-structured Population Dynamics 10. Backward Probabilities Estimated From Cross-Longitudinal Surveys and How Age-Specific Backward Prevalences Could Help Analyzing Trends in Aging Societies Nicolas Brouard 11. Behavior of Stationary Population Identity in Two-Dimensions: Age and Proportion of Population Truncated in Follow-up Arni S.R. Srinivasa Rao and James R. Carey 12. Demographic Situation of Manipur, India Moirangthem Hemanta Meitei

Section X: Collective Behaviors in Ecology 13. Deriving Mesoscopic Models of Collective Behavior for Finite Populations Jitesh Jhawar, Richard G. Morris and Vishwesha Guttal 14. Collective Behavior and Ecology Glenn R. Flierl

O autorze

Arni S.R. Srinivasa Rao works in pure mathematics, applied mathematics, probability, and artificial intelligence and applications in medicine. He is a Professor at the Medical College of Georgia, Augusta University, U.S.A, and the Director of the Laboratory for Theory and Mathematical Modeling housed within the Division of Infectious Diseases, Medical College of Georgia, Augusta, U.S.A. Previously, Dr. Rao conducted research and/or taught at Mathematical Institute, University of Oxford (2003, 2005-07), Indian Statistical Institute (1998-2002, 2006-2012), Indian Institute of Science (2002-04), University of Guelph (2004-06). Until 2012, Dr. Rao held a permanent faculty position at the Indian Statistical Institute. He has won the Heiwa-Nakajima Award (Japan) and Fast Track Young Scientists Fellowship in Mathematical Sciences (DST, New Delhi). Dr. Rao also proved a major theorem in stationary population models, such as, Rao's Partition Theorem in Populations, Rao-Carey Theorem in stationary populations, and developed mathematical modeling-based policies for the spread of diseases like HIV, H5N1, COVID-19, etc. He developed a new set of network models for understanding avian pathogen biology on grid graphs (these were called chicken walk models), AI Models for COVID-19 and received wide coverage in the science media. Recently, he developed concepts such as "Exact Deep Learning Machines”, and "Multilevel Contours” within a bundle of Complex Number Planes.

C. R. Rao is a world famous statistician who earned a place in the history of statistics as one of those "who developed statistics from its adhoc origins into a firmly grounded mathematical science.”

He was employed at the Indian Statistical Institute (ISI) in 1943 as a research scholar after obtaining an MA degree in mathematics with a first class and first rank from Andhra University in1941 and MA degree in statistics from Calcutta University in 1943 with a first class, first rank, gold medal and record marks which remain unbroken during the last 73 years.

"At the age of 28 he was made a full professor at ISI in recognition of his creativity.” While at ISI, Rao went to Cambridge University (CU) in 1946 on an invitation to work on an anthropometric project using the methodology developed at ISI. Rao worked in the museum of archeology and anthropology in Duckworth laboratory of CU during 1946-1948 as a paid visiting scholar. The results were reported in the book "Ancient Inhabitants of Jebel Moya” published by the Cambridge Press under the joint authorship of Rao and two anthropologists. On the basis of work done at CU during the two year period, 1946-1948, Rao earned a Ph.D. degree and a few years later Sc.D. degree of CU and the rare honor of life fellowship of Kings College, Cambridge.

He retired from ISI in 1980 at the mandatory age of 60 after working for 40 years during which period he developed ISI as an international center for statistical education and research. He also took an active part in establishing state statistical bureaus to collect local statistics and transmitting them to Central Statistical Organization in New Delhi. Rao played a pivitol role in launching undergraduate and postgraduate courses at ISI. He is the author of 475 research publications and several breakthrough papers contributing to statistical theory and methodology for applications to problems in all areas of human endeavor. There are a number of classical statistical terms named after him, the most popular of which are Cramer-Rao inequality, Rao-Blackwellization, Rao's Orthogonal arrays used in quality control, Rao's score test, Rao's Quadratic Entropy used in ecological work, Rao's metric and distance which are incorporated in most statistical books.

He is the author of 10 books, of which two important books are, Linear Statistical Inference which is translated into German, Russian, Czec, Polish and Japanese languages,and Statistics and Truth which is translated into, French, German, Japanese, Mainland Chinese, Taiwan Chinese, Turkish and Korean languages.

He directed the research work of 50 students for the Ph.D. degrees who in turn produced 500 Ph.D.'s. Rao received 38 hon. Doctorate degree from universities in 19 countries spanning 6 continents. He received the highest awards in statistics in USA,UK and India: National Medal of Science awarded by the president of USA, Indian National Medal of Science awarded by the Prime Minister of India and the Guy Medal in Gold awarded by the Royal Statistical Society, UK. Rao was a recipient of the first batch of Bhatnagar awards in 1959 for mathematical sciences and and numerous medals in India and abroad from Science Academies. He is a Fellow of Royal Society (FRS),UK, and member of National Academy of Sciences, USA, Lithuania and Europe. In his honor a research Institute named as CRRAO ADVANCED INSTITUTE OF MATHEMATICS, STATISTICS AND COMPUTER SCIENCE was established in the campus of Hyderabad University.