Estate V. Khmaladze
Encyclopedia
Estate V. Khmaladze is a Georgian statistician
. He is best known for his contribution of Khmaladze transformation
in statistics
.
, 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 V. A. Steklov Institute, Moscow, and A. Razmadze Mathematical Institute, Tbilisi.
From 1990 to 1999, he was appointed head of department of probability theory and mathematical statistics of A. Razmadze Mathematical Institute of Georgian Academy of Science.
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, in Khmaladze (1993), the connections between the theory of spatial martingales and Volterra operators with goodness of fit problems of statistics was discussed, and in Khmaladze(2007), the infinitesimal theory for set-valued functions was connected with problems of spatial statistics and image analysis.
However, the majority of his mathematical research centers around empirical processes and non-parametric methods of statistics.
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 around statistical theory of diversity and Zipf's law.
Statistician
A statistician is someone who works with theoretical or applied statistics. The profession exists in both the private and public sectors. The core of that work is to measure, interpret, and describe the world and human activity patterns within it...
. He is best known for his contribution of Khmaladze transformation
Khmaladze transformation
The Khmaladze Transformation is a statistical tool.Consider the sequence of empirical distribution functions F_n based on asequence of i.i.d random variables, X_1,\ldots, X_n, as n increases.Suppose F is the hypothetical distribution function of...
in statistics
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
.
Biography
Estate Khmaladze was born October 20, 1944, Tbilisi, Georgia. He graduated from Tbilisi State University in 1966, where the first three years he was studying physics. He finished his PhD in 1971 at V. A. Steklov Mathematical InstituteSteklov Institute of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute is a research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. It was established April 24, 1934 by the decision of the General Assembly of the Academy of Sciences of the USSR in...
, 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 V. A. Steklov Institute, Moscow, and A. Razmadze Mathematical Institute, Tbilisi.
From 1990 to 1999, he was appointed head of department of probability theory and mathematical statistics of A. Razmadze Mathematical Institute of Georgian Academy of Science.
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, in Khmaladze (1993), the connections between the theory of spatial martingales and Volterra operators with goodness of fit problems of statistics was discussed, and in Khmaladze(2007), the infinitesimal theory for set-valued functions was connected with problems of spatial statistics and image analysis.
However, the majority of his mathematical research centers around empirical processes and non-parametric methods of statistics.
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 around statistical theory of diversity and Zipf's law.
External links
- Estate Khmaladze at Victoria University of WellingtonVictoria University of WellingtonVictoria University of Wellington was established in 1897 by Act of Parliament, and was a former constituent college of the University of New Zealand. It is particularly well known for its programmes in law, the humanities, and some scientific disciplines, but offers a broad range of other courses...
- R:Function to compute Khmaladze Transformation