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M. C. Chakrabarti, On the C-matrix in design of experiments, J. Indian Statist. Assoc. 1 (1963), 8-23. On the use of incidence matrices of designs in sampling from finite populations, MC Chakrabarti – Journal of Indian Statistical Association, 1963
There are other estimation techniques other than min/max sketches. The first paper on count-distinct estimation [ 7 ] describes the Flajolet–Martin algorithm , a bit pattern sketch. In this case, the elements are hashed into a bit vector and the sketch holds the logical OR of all hashed values.
In statistics, M-estimators are a broad class of extremum estimators for which the objective function is a sample average. [1] Both non-linear least squares and maximum likelihood estimation are special cases of M-estimators. The definition of M-estimators was motivated by robust statistics, which contributed new types of M-estimators.
The estimation method requires that the data are independent and identically distributed (iid). It performs well even when the distribution is asymmetric or censored. [1] EL methods can also handle constraints and prior information on parameters. Art Owen pioneered work in this area with his 1988 paper. [2]
Other areas he worked in include multivariate analysis, estimation theory, and differential geometry. His other contributions include the Fisher–Rao theorem, Rao distance, and orthogonal arrays. He was the author of 15 books [11] and authored over 400 journal publications.
Chakrabarti received his Ph.D. degree from Calcutta University in 1979. Following post-doctoral work at the University of Oxford and the University of Cologne, he joined the faculty of Saha Institute of Nuclear Physics (SINP) in 1983.
Moving horizon estimation (MHE) is a multivariable estimation algorithm that uses: an internal dynamic model of the process; a history of past measurements and; an optimization cost function J over the estimation horizon, to calculate the optimum states and parameters. Moving horizon estimation scheme [4] The optimization estimation function is ...
Atulya K. Nagar is a mathematical physicist, academic and author. He holds the Foundation Chair as Professor of Mathematics and is the Pro-Vice-Chancellor for Research at Liverpool Hope University.