Stanisław Czesław Trybuła (2 January 1932 – 28 January 2008) was a Polish mathematician and statistician.

Early life and education

Trybuła was a pupil of state high school in

Rypin Rypin is a town in north-central Poland, in Kuyavian-Pomeranian Voivodeship, about 50 km east of Toruń. It is the capital of Rypin County. Population is 16,528 (2010). History Rypin was founded in the Middle Ages, and was part of Poland ...

, Poland, and he graduated from The First High School in

Toruń Toruń is a city on the Vistula River in north-central Poland and a World Heritage Sites of Poland, UNESCO World Heritage Site. Its population was 196,935 as of December 2021. Previously, it was the capital of the Toruń Voivodeship (1975–199 ...

in 1950. He studied mathematics in

Nicolaus Copernicus University in Toruń Nicolaus Copernicus University in Toruń or NCU (, UMK) is located in Toruń, Poland. It is named after Nicolaus Copernicus, who was born in Toruń in 1473. History The beginnings of higher education in Toruń The first institution of higher ...

and

Wrocław University Wrocław is a city in southwestern Poland, and the capital of the Lower Silesian Voivodeship. It is the largest city and historical capital of the region of Silesia. It lies on the banks of the Oder River in the Silesian Lowlands of Central ...

. He defended his master thesis on some problems of the game theory prepared under supervision of

Hugo Steinhaus Hugo Dyonizy Steinhaus ( , ; 14 January 1887 – 25 February 1972) was a Polish mathematician and educator. Steinhaus obtained his PhD under David Hilbert at Göttingen University in 1911 and later became a professor at the Jan Kazimierz Univers ...

in 1955.

Academic career

In 1955 Trybuła became a faculty member at Department of Mathematics, Wrocław University of Technology. In 1959 he was distinguished as the candidate of science and in 1960 he defended his PhD on minimax estimation under supervision of

. For many years he collaborated with or was on the staff of Institute of Power Systems (IASE) in

Wrocław Wrocław is a city in southwestern Poland, and the capital of the Lower Silesian Voivodeship. It is the largest city and historical capital of the region of Silesia. It lies on the banks of the Oder River in the Silesian Lowlands of Central Eu ...

. He worked out the original method of identification of the complex power systems. Since 1968 he was faculty member of the Institute of Mathematics, Faculty of Fundamental Problems of Technology, Wrocław University of Technology. Trybuła got habilitation at Faculty of Mathematics, Physics and Chemistry,

in 1968 based on his seminal works on

sequential analysis In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. Instead data is evaluated as it is collected, and further sampling is stopped in accordance with a pre-defi ...

for

stochastic process In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables in a probability space, where the index of the family often has the interpretation of time. Sto ...

es. In 1973, he became an associate professor, and in 1988, a full professor of mathematical sciences.

Contributions

Trybuła was the advisor of 14 PhD theses. He published 102 works independently and 38 co-authored ones He took early retirement in 1998 and was writing academic books on statistics and the game theory. He is the co-author of the WJ

bidding system A bidding system in contract bridge is the set of agreements and understandings assigned to calls and sequences of calls used by a partnership, and includes a full description of the meaning of each treatment and convention. The purpose of bi ...

in the

bridge A bridge is a structure built to Span (engineering), span a physical obstacle (such as a body of water, valley, road, or railway) without blocking the path underneath. It is constructed for the purpose of providing passage over the obstacle, whi ...

, known also as

Polish Club Polish Club (Polish: ''Wspólny Język'', literally "Common Language") is a bridge bidding system which was developed in Poland, where it is the most popular bidding system, and which is also used by players of other countries. It is a type of sm ...

(see also, following

Stayman convention Stayman is a bidding convention in the card game contract bridge. It is used by a partnership to find a 4-4 or 5-3 trump fit in a suit after making a one (1NT) opening bid and it has been adapted for use after a 2NT opening, a 1NT overcall, a ...

, Trybula transfers, Wesolowski texas, Gawrys fourth suit forcing).

References

{{DEFAULTSORT:Trybula, Stanislaw Nicolaus Copernicus University in Toruń alumni 1932 births 2008 deaths Polish mathematicians Polish statisticians Game theorists Probability theorists