Estate V. Khmaladze


Estate V. Khmaladze

Infobox Scientist
name = Estate V. Khmaladze

|200px
image_width = 200px
caption = Estate V. Khmaladze
birth_date = Birth date and age|1944|10|20|mf=y
birth_place = Tbilisi, Republic of Georgia, USSR
residence = New Zealand
citizenship = Georgian, Australian
field = Mathematician
work_institution = Victoria University of Wellington
alma_mater = Tbilisi State University
doctoral_advisor = L. N. Bolshev
known_for = Probability theory, Statistics
footnotes =

Estate V. Khmaladze ( _ka. ესტატე ხმალაძე, born October 20, 1944, Tbilisi, Georgia) is a Georgian statistician. He is best known for his contribution of Khmaladze transformation in statistics.

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 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 V. A. Steklov Institute, Moscow, and [http://www.rmi.acnet.ge/ 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.

Research interests

Theoretical interests

* Empirical processes
* Non-parametric methods
* Martingale methods in statistics
* Goodness of fit theory
* Asymptotic methods
* Differential-geometric problems in statistics

A characteristic feature of Khmaladze`s work is the search of connection between distant analytical topics. For example, in [http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aos/1176349152 Khmaladze (1993)] , the connections between the theory of spatial martingales and Volterra operators with goodness of fit problems of statistics was discussed, and in [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WK2-4MWGFMH-4&_user=1495406&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_version=1&_urlVersion=0&_userid=1495406&md5=ff7542cab30501f8e63eadcb8895756c 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.

Applications

* Biology (human genetics, physiology)
* Demography and insurance mathematics
* Econometrics
* Linguistics
* Reliability theory
* Large number of rare events

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

* [http://homepages.mcs.vuw.ac.nz/~estate/#sci_int Estate Khmaladze] at Victoria University of Wellington
* [http://astrostatistics.psu.edu/datasets/R/html/quantreg/html/khmaladzize.html R:Function to compute Khmaladze Transformation]

Persondata
NAME= Khmaladze, Estate V.
ALTERNATIVE NAMES=
SHORT DESCRIPTION= Georgian mathematician
DATE OF BIRTH= October 20, 1944
PLACE OF BIRTH= Tbilisi,Republic of Georgia, USSR
DATE OF DEATH=
PLACE OF DEATH=


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