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Wilhelm Winkler

Wilhelm Winkler 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 Wilhelm Winkler rather than just read about it. In short: Wilhelm Winkler (29 June 1884 – 3 September 1984) was a Czech-Austrian statistician and politician. He had successful careers as both an academic statistician (despite receiving no formal academic training in the field), and a program director in the Austrian government.

Wilhelm Winkler — main illustration
Wilhelm Winkler — illustration

Key takeaways

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

Reference excerpt

Wilhelm Winkler (29 June 1884 – 3 September 1984) was a Czech-Austrian statistician and politician. He had successful careers as both an academic statistician (despite receiving no formal academic training in the field), and a program director in the Austrian government.

Biography

Early life Wilhelm was the fifth of the eight children of Anne and music teacher Julius Winkler, a family situation that required him to work starting at age 13. He attended law school at Charles-Ferdinand University in Prague, practiced law briefly in 1908, did a stint in the Austrian army, then settled into a position at the Statistical Bureau of Bohemia as the sole German-speaking statistician. While working there, he attended many university classes and reached the conclusion that "the German statistical literature did not offer too many ideas. New life came into statistics from England and Russia where the importance of mathematical tools was recognized."

War years Winkler re-enlisted in the Austrian army at the outbreak of World War I in 1914, and was decorated twice for bravery before being wounded in November 1915. During a lengthy recovery, he worked for the War Economy committee; his talents were recognized and he was appointed Secretary of State for Military Affairs at the end of the war in 1918 and he was a delegate to the Versailles Peace Conference. That year, he also married a Jewish woman named Clara Deutch. He joined the Austrian Central Statistics Office in 1920, and was promoted to director of its department of population statistics in 1925. Concurrently, he became a Privat-Dozent (assistant professor) at the University of Vienna in 1921 and an Ausserordentlicher Professor in 1929. He founded an institute for the study of minority populations, which published a constant stream of progressive and influential papers that made him unpopular with colleagues in his government job. Despite his lack of formal education, he was elected a member of the International Statistical Institute in 1926 where he actively promoted applied and precise mathematical formulations in contrast to the wordy generalizations that he had criticized 20 years earlier. As both the husband of a Jew and an outspoken critic of the unfair treatment of European minorities, Winkler was promptly fired from both his government and academic positions following the 1938 Nazi annexation of Austria. Despite severe persecution from the Nazi party, he wrote the textbook Basic Course in Demography during the occupation.

Later years At the end of the war, he was rehired by the University of Vienna as the first full professor of statistics since 1883, and became Dean of the School of Law and Statecraft from 1950 to 1955. He was also restored as Austria's lead government statistician from 1945 to 1955. Despite these influential positions and growing international recognition, Winkler spent many years defending the statistical department from opposition within the university. The regressive attitude of Austrian and German academics towards statistics as a truly independent discipline meant that his contributions to international developments became more difficult. He did not retire until age 71, and continued to publish and vigorously promote statistics thereafter. He died just after his 100th birthday, having published 20 textbooks and over 200 papers, founded two statistical societies, edited two statistical journals, been awarded two honorary degrees, and reshaped the development of German-speaking statistics through his progressive education initiatives.

References

Further reading Pinwinkler, Alexander. Wilhelm Winkler (1884–1984): Eine Biographie: Zur Geschichte Der Statistik Und Demographie in Osterreich Und Deutschland. Duncker & Humblot: Berlin. (in German)

Illustrations

Wilhelm Winkler illustration

Worked examples

Example 1 — a first encounter with Wilhelm Winkler

Start with the simplest possible case. Write down what Wilhelm Winkler 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 Wilhelm Winkler 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 Wilhelm Winkler 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 Wilhelm Winkler

In research
Wilhelm Winkler 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 Wilhelm Winkler 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
Wilhelm Winkler is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1884 births, 1984 deaths, 20th-century statisticians, so understanding it makes those chapters shorter.
In everyday life
Look for Wilhelm Winkler 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 Wilhelm Winkler in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Wilhelm Winkler 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 Wilhelm Winkler out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Wilhelm Winkler in simple terms?

Wilhelm Winkler (29 June 1884 – 3 September 1984) was a Czech-Austrian statistician and politician. He had successful careers as both an academic statistician (despite receiving no formal academic training in the field), and a program director in the Austrian government.

Why does Wilhelm Winkler 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 Wilhelm Winkler?

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 Wilhelm Winkler.

Tags

  • 1884 births
  • 1984 deaths
  • 20th-century statisticians
  • Academic staff of the University of Vienna
  • Austrian men centenarians
  • Austrian statisticians
  • Czech men centenarians
  • Mathematicians from Prague

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