Èlizbar Nadaraya is a Georgian mathematician who is currently a Full Professor and the Chair of the Theory of Probability and Mathematical Statistics at the Tbilisi State University. He developed the Nadaraya-Watson estimator along with

Geoffrey Watson Geoffrey Stuart Watson (3 December 1921 – 3 January 1998) was an Australian statistician. Watson was born in Bendigo, Victoria in 1921. He studied at the University of Melbourne, and received his PhD at the North Carolina State University i ...

, which proposes estimating the

conditional expectation In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated with respect to the conditional probability distribution. If the random variable can take on ...

of a

random variable A random variable (also called random quantity, aleatory variable, or stochastic variable) is a Mathematics, mathematical formalization of a quantity or object which depends on randomness, random events. The term 'random variable' in its mathema ...

as a locally weighted average using a

kernel Kernel may refer to: Computing * Kernel (operating system), the central component of most operating systems * Kernel (image processing), a matrix used for image convolution * Compute kernel, in GPGPU programming * Kernel method, in machine learnin ...

as a weighting function. Nadaraya was born in 1936 in

Khobi Khobi ( ka, ხობი) is a town in western Georgia with a population of 4,242. The settlement of Khobi acquired the status of a town in 1981 and currently functions as an administrative center of the Khobi District within the Samegrelo-Zem ...

Georgia Georgia most commonly refers to: * Georgia (country), a country in the South Caucasus * Georgia (U.S. state), a state in the southeastern United States Georgia may also refer to: People and fictional characters * Georgia (name), a list of pe ...

. He received his doctoral degree from the V.I. Romanovski Institute of Mathematics,

Tashkent Tashkent (), also known as Toshkent, is the Capital city, capital and List of cities in Uzbekistan, largest city of Uzbekistan. It is the most populous city in Central Asia, with a population of more than 3 million people as of April 1, 2024. I ...

in 1981. He has since co-authored over 120 publications including 5 textbooks in the area of probability and statistics.

Most cited publications

Book

*E. A. Nadaraya, ''Nonparametric Estimation of Probability Densities and Regression Curves'' Springer, 198
Nonparametric Estimation of Probability Densities and Regression Curves
ISBN 978-90-277-2757-2 (Cited 319 times, according to Google Scholar.)

Journal articles

*Nadaraya EA. On estimating regression. Theory of Probability & Its Applications. 1964;9(1):141-2. (Cited 4408 times, according to

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[] Google Scholar Author page, Accessed Dec. 2022) *Nadaraya, E.A., 1965. On non-parametric estimates of density functions and regression curves. Theory of Probability & Its Applications, 10(1), pp. 186–190. (Cited 673 times, according to Google Scholar.) *Nadaraya EA. Some new estimates for distribution functions. Theory of Probability & Its Applications. 1964;9(3):497-500. (Cited 329 times, according to Google Scholar.)

References

{{DEFAULTSORT:Nadaraya, Elizbar 1936 births Living people 21st-century mathematicians from Georgia (country) Academic staff of Tbilisi State University