Estate V. Khmaladze ( ka, ესტატე ხმალაძე, born October 20, 1944 in

Tbilisi Tbilisi ( ; ka, თბილისი ), in some languages still known by its pre-1936 name Tiflis ( ), is the Capital city, capital and the List of cities and towns in Georgia (country), largest city of Georgia (country), Georgia, lying on the ...

Georgia Georgia most commonly refers to: * Georgia (country), a country in the Caucasus region of Eurasia * Georgia (U.S. state), a state in the Southeast United States Georgia may also refer to: Places Historical states and entities * Related to the ...

) is a Georgian

statistician A statistician is a person who works with theoretical or applied statistics. The profession exists in both the private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, and statisticians may wor ...

. He is best known for his contribution of

Khmaladze transformation In statistics, the Khmaladze transformation is a mathematical tool used in constructing convenient goodness of fit tests for hypothetical distribution functions. More precisely, suppose X_1,\ldots, X_n are i.i.d., possibly multi-dimensional, ran ...

statistics Statistics (from German language, German: ''wikt:Statistik#German, Statistik'', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of ...

Biography

Estate Khmaladze was born October 20, 1944, Tbilisi, Georgia. He graduated from

Tbilisi State University Ivane Javakhishvili Tbilisi State University ( ka, ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი ''Ivane Javaxishvi ...

in 1966, where the first three years he was studying physics. He finished his PhD in 1971 at V. A. Steklov Mathematical Institute, Moscow, under supervision of L. N. Bolshev, who was head of department of mathematical statistics at Steklov after N. V. Smirnov. From 1972 until 1990, his work was, mostly, split between the

Steklov Institute of Mathematics Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part ...

in Moscow, and the A. Razmadze Mathematical Institute at Tbilisi State University. From 1990 to 1999, he was appointed head of department of probability theory and mathematical statistics of A. Razmadze Mathematical Institute of the

Georgian National Academy of Sciences The Georgian National Academy of Sciences (GNAS) ( ka, საქართველოს მეცნიერებათა ეროვნული აკადემია, tr) is a main learned society of the Georgia. It was named Georgian S ...

. In 1996, Khmaladze moved with his family from Tbilisi, Georgia, to Sydney, Australia, and from there to Wellington, New Zealand, where in 2002 he was appointed Professor of Statistics after retirement of his predecessor, David Vere-Jones. A characteristic feature of Khmaladze's work is the search of connection between distant analytical topics. For example, i
Khmaladze (1993)
the connections between the theory of spatial martingales and Volterra operators with goodness of fit problems of statistics was demonstrated, and i
Khmaladze(2007)
the infinitesimal theory for set-valued functions was extended to help with problems of spatial statistics and image analysis. However, the majority of his mathematical research centers around

empirical process In probability theory, an empirical process is a stochastic process that describes the proportion of objects in a system in a given state. For a process in a discrete state space a population continuous time Markov chain or Markov population model ...

es and distribution-free methods of testing statistical hypotheses. A considerable amount of Khmaladze's work is in applications of statistics, in the fields of cito-genetics, physiology, demography and insurance, statistical analysis of texts, various problems in economics and finance. His current applied interests are focused on statistical theory of diversity and Zipf's law.

References

External links

Estate Khmaladze
at

Victoria University of Wellington Victoria University of Wellington ( mi, Te Herenga Waka) is a university in Wellington, New Zealand. It was established in 1897 by Act of Parliament, and was a constituent college of the University of New Zealand. The university is well know ...

R:Function to compute Khmaladze TransformationProfessional Profile
{{DEFAULTSORT:Khmaladze, Estate Mathematicians from Georgia (country) Soviet mathematicians Tbilisi State University alumni Living people 1944 births Statisticians from Georgia (country) Victoria University of Wellington faculty