Abstract
A.M. Mathai is Emeritus Professor of Mathematics and Statistics at McGill University, Canada. He is currently the Director of the Centre for Mathematical and Statistical Sciences India. His research contributions cover a wide spectrum of topics in mathematics, statistics, physics, astronomy, and biology. He is a Fellow of the Institute of Mathematical Statistics, National Academy of Sciences of India, and a member of the International Statistical Institute. He is a founder of the Canadian Journal of Statistics and the Statistical Society of Canada. He was instrumental in the implementation of the United Nations Basic Space Science Initiative (1991–2012). This paper highlights research results of A.M. Mathai in the period of time from 1962 to 2015. He published over 300 research papers and over 25 books.
Highlights
Axioms 2015, 4 in the journal Biometrics in 1965, Mathai (1965) [Biometrics, 21(1965), 376–385]. This problem was suggested by Professor Ralph Wormleighton of the University of Toronto
Papers were published on the concept, in the journal Metron, XXVII-34.1–2(1968), 125–135
Mathai translated some statistical problems in terms of special functions and Saxena immediately gave the solutions
Summary
In two-way classification with multiple observations per cell the analysis becomes complicated due to lack of orthogonality in the design. If two factors, such as the amount of fertilizer used and planting methods in an agricultural experiment to study the yield of corn, are to be tried and if the experiment is planned to replicate n times, it may happen that some observations in some replicate may get lost and as a result, instead of n observations per cell one may have nij observations in the (i, j)th cell. Pp j=1 aij = 1 for each i = 1, ..., p Mathai observed that this property means that a norm of A, P namely kAk = maxi pj=1 |aij | = 1 and further, since the design is taking care of a general effect, one can impose a condition on α1 , ..., αp such as α1 + ... Papers were published on the concept, in the journal Metron, XXVII-34.1–2(1968), 125–135
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