Jagdish N. Srivastava (JNS), a professor emeritus of statistics at
Colorado State University (CSU), Fort Collins will be remembered for
his leadership in statistics profession; his thought provoking,
penetrating and deeper questions at the professional meetings and
conferences; and his pioneering research contributions in design of
experiments as well as in multivariate analysis, survey sampling,
reliability, coding theory, combinatorial theory, and many other areas
of statistics and mathematics.
The 1973 conference “Statistical Design and Analysis of Experiments and Linear Models” organized by him in Fort Collins started a new era of statistical design by bringing together leaders from different areas of statistics and with different interests covering many theoretical as well as applied areas and demonstrating that both “good” design and “efficient” inference are fundamental for extracting the pertinent information from the data collected for scientific investigations. With this spirit, JNS founded the Journal of Statistical Planning and Inference (JSPI) in 1975 with the cooperation and support from the distinguished statisticians from all over the world. During this period, he introduced “search linear models and search designs” his ground breaking research. His Ph.D. advisor Professor R.C. Bose was a CSU faculty after his retirement in 1971 from the University of North Carolina (UNC), Chapel Hill. Professor Bose remarked in several occasions that his student JNS now truly surpassed him, the recognition of a great mind and a highly spirited advisor. As a Ph.D. student and a post doctoral researcher at UNC, JNS worked also with Professor S.N. Roy, another great mind and an outstanding individual. JNS was also inspired by Professors R.A. Fisher, J. Neyman, P.C. Mahalanobis, C.R. Rao, J. Kiefer, and H. Chernoff. In design theory, JNS developed the mathematical theory of confounding for asymmetrical factorial experiments (with Professor K. Kishen), optimum balanced designs for fractional factorial experiments, introducing and studying balanced arrays and multidimensional partially balanced association schemes, leading to the non-commutative algebra of Bose and Srivastava, which is a multi-set generalization of the Bose-Mesner algebra; created the new and influential fields of search linear models and search designs and its application in fractional factorial experiments as well as in figuring out non-additivity presence in row-column designs. In multivariate analysis, he worked on MANOVA with complete as well as incomplete data in estimation, hypothesis testing, classification, and meta-analysis; and a monograph on design and analysis of quantitative multi-response experiments jointly with Professors S.N. Roy and R. Gnanadesikan. In reliability theory, JNS introduced self-relocating designs (SRD) for comparative experiments. In survey-sampling, JNS introduced a general class of estimators with almost all of the well-known estimators as the special cases. In coding theory, he introduced “Srivastava-code”, a class of parameterized error-correcting codes.
JNS studied quantum mechanics and mathematical logic. Gödel's theorem inspired him to realize the limitations of science. He slowly turned toward spirituality and studied the great religions of the world. He was particularly drawn to the Bhagavad-Gita because of his nonsectarian outlook. This interest led him to obtain his 1991 joint appointment in the philosophy department of CSU where he had been a professor of statistics and mathematics since 1966.
JNS was an elected fellow of ASA, IMS; an elected member of ISI; a foundation fellow of the Institute of Combinatorics and Applications; and a Fellow of the Third World Academy of Sciences (TWAS). He was the past presidents of the Forum for Interdisciplinary Mathematics as well as the International Indian Statistical Association (IISA). He had collaborated with many researchers around the world and mentored many Ph.D. students in the CSU statistics department.
JNS is survived by his wife of sixty years Usha, son Arvind, daughter Gita and son-in-law Roy; son Ashok, daughter-in-law Lynn and granddaughter Leela.
Subir Ghosh, Professor of Statistics, University of California, Riverside