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Johann Pfanzagl

Johann Pfanzagl is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Johann Pfanzagl rather than just read about it. In short: Johann Richard Pfanzagl (2 July 1928 – 4 June 2019) was an Austrian mathematician known for his research in mathematical statistics. Life and career Pfanzagl studied from 1946 to 1951 at the University of Vienna and received his doctorate there in 1951 with Johann Radon and Edmund Hlawka on the topic of Hermitian forms in imaginary square number fields.

Key takeaways

  • Johann Pfanzagl belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Johann Pfanzagl to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Johann Pfanzagl from memory before moving on to harder problems.

Reference excerpt

Johann Richard Pfanzagl (2 July 1928 – 4 June 2019) was an Austrian mathematician known for his research in mathematical statistics.

Life and career Pfanzagl studied from 1946 to 1951 at the University of Vienna and received his doctorate there in 1951 with Johann Radon and Edmund Hlawka on the topic of Hermitian forms in imaginary square number fields. In the same year he became a founding member of the Austrian Statistical Society, of which he was executive secretary from 1955 to 1959. From 1951 to 1959, Pfanzagl headed the statistical office of the Austrian Federal Economic Chamber. In 1959 he habilitated as a professor for statistics at the University of Vienna. Since 1960 he was a member of the Austrian Mathematical Society. At the same year, he moved to the University of Cologne, where he has held two chairs, one after the other, from 1960 to 1964 for economic and social statistics and from 1964 until his retirement in 1995 for mathematical statistics. Pfanzagl became an honorary member of the Institute of Mathematical Statistics in 1968. From 1993 he was a corresponding member of the mathematics and natural sciences class abroad at the Austrian Academy of Sciences and received an honorary doctorate from the Vienna University of Economics and Business in 1993. He became an honorary member of the Austrian Statistical Society in 1996.

Bibliography Pfanzagl, Johann (2017). Mathematical Statistics. Springer Series in Statistics. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-642-31084-3. ISBN 978-3-642-31083-6. —— (3 May 2011). Parametric Statistical Theory. De Gruyter. doi:10.1515/9783110889765. ISBN 978-3-11-088976-5. —— (1 March 2011). Elementare Wahrscheinlichkeitsrechnung (in German). De Gruyter. doi:10.1515/9783110869217. ISBN 978-3-11-086921-7. —— (1990). Estimation in Semiparametric Models. Lecture Notes in Statistics. Vol. 63. New York, NY: Springer US. doi:10.1007/978-1-4612-3396-1. ISBN 978-0-387-97238-1. —— (1985). Asymptotic Expansions for General Statistical Models. Lecture Notes in Statistics. Vol. 31. New York, NY: Springer New York. doi:10.1007/978-1-4615-6479-9. ISBN 978-0-387-96221-4. —— (1982). Contributions to a General Asymptotic Statistical Theory. Lecture Notes in Statistics. Vol. 13. New York, NY: Springer New York. doi:10.1007/978-1-4612-5769-1. ISBN 978-0-387-90776-5. —— (1972). Band 1 Elementare Methoden unter besonderer Berücksichtigung der Anwendungen in den Wirtschafts- und Sozialwissenschaften (in German). De Gruyter. doi:10.1515/9783111683171. ISBN 978-3-11-168317-1. —— (1974). Band 2 Höhere Methoden unter besonderer Berücksichtigung der Anwendungen in Naturwissenschaften, Medizin und Technik (in German). De Gruyter. doi:10.1515/9783110827804. ISBN 978-3-11-082780-4. ——; Baumann, V.; Huber, H. (1971). Theory of Measurement. Heidelberg: Physica-Verlag HD. doi:10.1007/978-3-662-41488-0. ISBN 978-3-7908-0016-6. ——; Pierlo, W. (1966). Compact Systems of Sets. Lecture Notes in Mathematics. Vol. 16. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/bfb0078990. ISBN 978-3-540-03599-2. Die axiomatischen Grundlagen einer allgemeinen Theorie des Messens. Schriftenreihe des Statistischen Instituts der Universität Wien N. F. Nr. 1, Physica-Verlag, 1959.

References

External links Über Johann Pfanzagl Facultas Verlags- und Buchhandels AG, retrieved 22 September 2022 Johann Pfanzagl Mathematics Genealogy Project, retrieved 22 September 2022 J. Pfanzagl Website der Universität zu Köln, Abteilung Mathematik, retrieved 22 September 2022 Johann Richard Pfanzagl 1928–2019. In: Österreichische Mathematische Gesellschaft (Hrsg.): Internationale Mathematische Nachrichten. Nr. 242, 73. Jahrgang, December 2019, Kapitel: Nachrichten der Österreichischen Mathematischen Gesellschaft. ISSN 0020-7926, S. 45. (oemg.ac.at, PDF).

Worked examples

Example 1 — a first encounter with Johann Pfanzagl

Start with the simplest possible case. Write down what Johann Pfanzagl claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Johann Pfanzagl before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Johann Pfanzagl ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Johann Pfanzagl

In research
Johann Pfanzagl appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Johann Pfanzagl in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Johann Pfanzagl is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1928 births, 2019 deaths, 20th-century Austrian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Johann Pfanzagl outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Johann Pfanzagl in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Johann Pfanzagl means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Johann Pfanzagl out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Johann Pfanzagl in simple terms?

Johann Richard Pfanzagl (2 July 1928 – 4 June 2019) was an Austrian mathematician known for his research in mathematical statistics. Life and career Pfanzagl studied from 1946 to 1951 at the University of Vienna and received his doctorate there in 1951 with Johann Radon and Edmund Hlawka on the top…

Why does Johann Pfanzagl matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Johann Pfanzagl?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Johann Pfanzagl.

Tags

  • 1928 births
  • 2019 deaths
  • 20th-century Austrian mathematicians
  • 20th-century statisticians
  • Academic staff of the University of Cologne
  • Academic staff of the University of Vienna
  • Austrian statisticians
  • Corresponding Members of the Austrian Academy of Sciences
  • Mathematical statisticians
  • Mathematicians from Vienna
  • University of Vienna alumni

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