Dietrich Stoyan (born November 26, 1940,

Germany Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated betwe ...

) is a German

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

and

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 ...

who made contributions to

queueing theory Queueing theory is the mathematical study of waiting lines, or queues. A queueing model is constructed so that queue lengths and waiting time can be predicted. Queueing theory is generally considered a branch of operations research because the ...

stochastic geometry In mathematics, stochastic geometry is the study of random spatial patterns. At the heart of the subject lies the study of random point patterns. This leads to the theory of spatial point processes, hence notions of Palm conditioning, which exten ...

, and

spatial statistics Spatial analysis or spatial statistics includes any of the formal techniques which studies entities using their topological, geometric, or geographic properties. Spatial analysis includes a variety of techniques, many still in their early deve ...

Education and career

Stoyan studied mathematics at

Technical University Dresden TU Dresden (for german: Technische Universität Dresden, abbreviated as TUD and often wrongly translated as "Dresden University of Technology") is a public research university, the largest institute of higher education in the city of Dresden, th ...

; applied research at Deutsches Brennstoffinstitut

Freiberg Freiberg is a university and former mining town in Saxony, Germany. It is a so-called ''Große Kreisstadt'' (large county town) and the administrative centre of Mittelsachsen district. Its historic town centre has been placed under heritage c ...

, 1967 PhD, 1975 Habilitation. Since 1976 at

TU Bergakademie Freiberg The Technische Universität Bergakademie Freiberg (abbreviation: TU Bergakademie Freiberg, TUBAF) is a public university of technology with currently 3655 students in the city of Freiberg, Saxony, Germany. Its focus is on exploration, mining & e ...

, Rektor of that university in 1991—1997; he became famous by his statistical research of the diffusion of euro coins in Germany and Europe after the introduction of the

euro The euro ( symbol: €; code: EUR) is the official currency of 19 out of the member states of the European Union (EU). This group of states is known as the eurozone or, officially, the euro area, and includes about 340 million citizens . ...

in 2002.

Research

Queueing Theory

Qualitative theory, in particular inequalities, for

queueing systems ''Queueing Systems'' is a peer-reviewed scientific journal covering queueing theory. It is published by Springer Science+Business Media. The current editor-in-chief is Sergey Foss. According to the ''Journal Citation Reports'', the journal has a ...

and related

stochastic model In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appea ...

s. The books *''D. Stoyan: Comparison Methods for Queues and other Stochastic Models. J. Wiley and Sons, Chichester, 1983'' and *''A. Mueller and D. Stoyan: Comparison Methods for Stochastic Models and Risks, J. Wiley and Sons, Chichester, 2002'' report on the results. The work goes back to 1969 when he discovered the

monotonicity In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order ...

of the GI/G/1 waiting times with respect to the convex order.

Stochastic Geometry

Stereological formulae, applications for marked point process, development of stochastic models. Successful joint work with Joseph Mecke led to the first exact proof of the fundamental stereological formulae. The book ''Stochastic Geometry and its Applications'', by D. Stoyan, W.S. Kendall and J. Mecke reports on the results. The book of 1995 is the key reference for applied stochastic geometry.

Spatial Statistics

Statistical methods for point processes, random sets and many other random geometrical structures such as fibre processes. Results can be found in the 1995 book on stochastic geometry and in the book, ''Fractals, Random Shapes and Point Fields'' by D. and H. Stoyan. (J. Wiley and Sons, Chichester, 1994). A particular strength of Stoyan is second-order methods. At the moment Dietrich Stoyan is working (together with three colleagues) for a new book on point process statistics. He used packings of hard spheres as models for materials with the aim to solve mechanical problems for random heterogeneous materials. Stoyan is very active in demonstrating non-mathematicians and non-statisticians the potential of statistical and stochastic geometrical methods. In particular, he co-organized together with Klaus Mecke conferences where physicists, geometers and statisticians met. See the books *Mecke Klaus R. and Stoyan D. (eds.): ''Statistical Physics and Spatial Statistics.'' Lecture Notes in Physics 554, Springer-Verlag, 2000 and *Mecke Klaus R. and Stoyan D. (eds.): ''Morphology of Condensed Matter''. Lecture Notes in Physics 600, Springer-Verlag, 2002.

External links

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{{DEFAULTSORT:Stoyan, Dietrich 1940 births Living people German statisticians Spatial statisticians Scientists from Freiberg Members of the German Academy of Sciences at Berlin TU Dresden alumni Academic staff of the Freiberg University of Mining and Technology Probability theorists German mathematicians Members of Academia Europaea