Statistical inference is the process of using data analysis to infer properties of an underlying distribution of probability. Inferential statistical analysis infers properties of a population, for example by testing hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population.
The following outline is provided as an overview of and topical guide to statistics:
In statistics, interval estimation is the use of sample data to estimate an interval of possible values of a parameter of interest. This is in contrast to point estimation, which gives a single value.
Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical analysis, linear algebra, stochastic analysis, differential equations, and measure theory.
Calyampudi Radhakrishna Rao was an Indian-American mathematician and statistician. He was professor emeritus at Pennsylvania State University and research professor at the University at Buffalo. Rao was honoured by numerous colloquia, honorary degrees, and festschrifts and was awarded the US National Medal of Science in 2002. The American Statistical Association has described him as "a living legend" whose work has influenced not just statistics, but has had far reaching implications for fields as varied as economics, genetics, anthropology, geology, national planning, demography, biometry, and medicine." The Times of India listed Rao as one of the top 10 Indian scientists of all time.
Debabrata Basu was an Indian statistician who made fundamental contributions to the foundations of statistics. Basu invented simple examples that displayed some difficulties of likelihood-based statistics and frequentist statistics; Basu's paradoxes were especially important in the development of survey sampling. In statistical theory, Basu's theorem established the independence of a complete sufficient statistic and an ancillary statistic.
Indian Statistical Institute (ISI) is a public research university headquartered in Kolkata, West Bengal, India. It was declared an Institute of National Importance by the Government of India under the Indian Statistical Institute Act, 1959. Established in 1931, it functions under the Ministry of Statistics and Programme Implementation of the Government of India.
The term kernel is used in statistical analysis to refer to a window function. The term "kernel" has several distinct meanings in different branches of statistics.
The foundations of statistics consist of the mathematical and philosophical basis for arguments and inferences made using statistics. This includes the justification for the methods of statistical inference, estimation, and hypothesis testing, the quantification of uncertainty in the conclusions of statistical arguments, and the interpretation of those conclusions in probabilistic terms. A valid foundation can be used to explain statistical paradoxes such as Simpson's paradox, provide a precise description of observed statistical laws,, and guide the application of statistical conclusions in social and scientific applications.
Jayanta Kumar Ghosh was an Indian statistician, an emeritus professor at Indian Statistical Institute and a professor of statistics at Purdue University.
Anil kumar Bhattacharyya was an Indian statistician who worked at the Indian Statistical Institute in the 1930s and early 40s. He made fundamental contributions to multivariate statistics, particularly for his measure of similarity between two multinomial distributions, known as the Bhattacharyya coefficient, based on which he defined a metric, the Bhattacharyya distance. This measure is widely used in comparing statistical samples in biology, genetics, physics, computer science, etc.
Pranab Kumar Sen was an Indian-American statistician who was a professor of statistics and the Cary C. Boshamer Professor of Biostatistics at the University of North Carolina at Chapel Hill.
Malay Ghosh is an Indian statistician and currently a Distinguished Professor at the University of Florida. He obtained a B.S. in 1962 from the University of Calcutta, and subsequently a M.A. in 1964 from the University of Calcutta. Then he moved to the United States to pursue higher academic studies and obtained his Ph.D. degree in 1969 from the University of North Carolina at Chapel Hill, under the supervision of Pranab K. Sen.
Arup Bose is an Indian statistician. He is a Professor of Theoretical Statistics and Mathematics, in Indian Statistical Institute, Kolkata.
Anil Kumar Gain FRSS FCPS was an Indian mathematician and statistician best known for his works on the Pearson product-moment correlation coefficient in the field of applied statistics, with his colleague Ronald Fisher. He received his Ph.D. from the University of Cambridge under the supervision of Henry Ellis Daniels, who was the then President of the Royal Statistical Society. He was honoured as a Fellow of the Royal Statistical Society and the Cambridge Philosophical Society.
Nancy Robbins Mann is an American statistician known for her research on quality management, reliability estimation, and the Weibull distribution.
For the American musician, see Wayne Nelson.
