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Ladislaus Bortkiewicz

Ladislaus Bortkiewicz 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 Ladislaus Bortkiewicz rather than just read about it. In short: Ladislaus Josephovich Bortkiewicz (Russian Владислав Иосифович Борткевич, German Ladislaus von Bortkiewicz or Ladislaus von Bortkewitsch) (7 August 1868 – 15 July 1931) was a Russian economist and statistician of Polish ancestry. He wrote a book showing how the Poisson distribution, a discrete probability distribution, can be useful in applied statistics, and he made contributions to mathematical economics.

Ladislaus Bortkiewicz — main illustration
Ladislaus Bortkiewicz — illustration

Key takeaways

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Reference excerpt

Ladislaus Josephovich Bortkiewicz (Russian Владислав Иосифович Борткевич, German Ladislaus von Bortkiewicz or Ladislaus von Bortkewitsch) (7 August 1868 – 15 July 1931) was a Russian economist and statistician of Polish ancestry. He wrote a book showing how the Poisson distribution, a discrete probability distribution, can be useful in applied statistics, and he made contributions to mathematical economics. He lived most of his professional life in Germany, where he taught at Strassburg University (Privatdozent, 1895–1897) and Berlin University (1901–1931).

Life and work Ladislaus Bortkiewicz was born in Saint Petersburg, Imperial Russia, to two ethnic Polish parents: Józef Bortkiewicz and Helena Bortkiewicz (née Rokicka). His father was a Polish nobleman who served in the Russian Imperial Army. Bortkiewicz graduated from the Law Faculty in 1890. In 1898 he published a book about the Poisson distribution, titled The Law of Small Numbers. In this book he first noted that events with low frequency in a large population follow a Poisson distribution even when the probabilities of the events varied. It was that book that made the Prussian horse-kicking data famous. The data gave the number of soldiers killed by being kicked by a horse each year in each of 14 cavalry corps over a 20-year period. Bortkiewicz showed that those numbers followed a Poisson distribution. The book also examined data on child-suicides. Some have suggested that the Poisson distribution should have been named the "Bortkiewicz distribution."

In political economy, Bortkiewicz is important for his analysis of Karl Marx's reproduction schema in the last two volumes of Capital. Bortkiewicz identified a transformation problem in Marx's work. Making use of Dmitriev's analysis of Ricardo, Bortkiewicz proved that the data used by Marx was sufficient to calculate the general profit rate and relative prices. Though Marx's transformation procedure was not correct—because it did not calculate prices and profit rate simultaneously, but sequentially—Bortkiewicz has shown that it is possible to get the correct results using the Marxian framework, i.e. using the Marxian variables constant capital and variable capital it is possible to obtain the profit rate and the relative prices in a three-sector model. This "correction of the Marxian system" has been the great contribution of Bortkiewicz to classical and Marxian economics but it was completely unnoticed until Paul Sweezy's 1942 book "Theory of Capitalist Development". Piero Sraffa (1960) has provided the complete generalization of the simultaneous method for classical and Marxian analysis. Bortkiewicz died in Berlin, Germany. His papers, including a voluminous correspondence file (some 1,000 letters 1876–1931), were deposited at Uppsala University in Sweden, except for his correspondence with Léon Walras which went into the collection of the Walras scholar William Jaffé in the USA.

Major publications Die mittlere Lebensdauer. Die Methoden ihrer Bestimmung und ihr Verhältnis zur Sterblichkeitsmessung. Gustav Fischer, Jena 1893 (Göttinger Digitalisierungszentrum) "Review of Léon Walras, Éléments d'économie politique pure, 2e édit.", 1890, Revue d'économie politique Ladislaus Bortkiewicz (1898). Das Gesetz der kleinen Zahlen (PDF). Leipzig: B.G. Teubner. Ladislaus von Bortkiewicz (1906). "Wertrechnung und Preisrechnung im Marxschen System (1)" (PDF). Archiv für Sozialwissenschaft und Sozialpolitik. 23: 1–50. Ladislaus von Bortkiewicz (1907). "Wertrechnung und Preisrechnung im Marxschen System (2)" (PDF). Archiv für Sozialwissenschaft und Sozialpolitik. 25: 10–51. — Article's English translation (Value and Price in the Marxian System), 1952, International Economic Papers, No.2 Ladislaus von Bortkiewicz (1907). "Wertrechnung und Preisrechnung im Marxschen System (3)" (PDF). Archiv für Sozialwissenschaft und Sozialpolitik. 25: 455–488. Ladislaus von Bortkiewicz (1949). "On the Correction of Marx's Fundamental Theoretical Construction in the Third Volume of Capital" (PDF). In Paul M. Sweezy (ed.). Karl Marx and the Close of his System. New York: Augustus M. Kelley. pp. 197–221. — Spanish version 1917 * Original German version Ladislaus Bortkiewicz (1917). Die Iterationen — Ein Beitrag zur Wahrscheinlichkeitstheorie. Berlin: Springer. "Die Rodbertus'sche Grundrententheorie und die Marx'sche Lehre von der absoluten Grundrente", from: "Archiv für die Geschichte des Sozialismus und der Arbeiterbewegung", 1910–11

Notes

References Joseph Schumpeter. Ladislaus von Bortkiewicz, Economic Journal, Vol. 42 (1932), pp. 338–340, reprinted in: Ten great economists from Marx to Keynes (New York, 1960), pp. 302–305 Emil Julius Gumbel. Ladislaus von Bortkiewicz, International Encyclopedia of the Social Sciences 2 (New York, 1968), pp. 128–131. Freely available online at StatProb @ Internet Archive Wayback Machine Paul A. Samuelson. Resolving a Historical Confusion in Population Analysis. Human Biology, 48, 1976: pp. 559–580

External links

Biographical sketch on the web site of the University of St. Andrews (in Scotland) Ladislaus von Bortkiewicz from encyclopedia.com New School: Ladislaus von Bortkiewicz Ladislaus von Bortkiewicz — statistician, economist, and a European intellectual, SFB 649 Discussion Paper 2014-015

Illustrations

Ladislaus Bortkiewicz illustration
Ladislaus Bortkiewicz: Bortkiewicz' 1971 book The economic theory of Marx
Bortkiewicz' 1971 book The economic theory of Marx

Worked examples

Example 1 — a first encounter with Ladislaus Bortkiewicz

Start with the simplest possible case. Write down what Ladislaus Bortkiewicz 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 Ladislaus Bortkiewicz 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 Ladislaus Bortkiewicz 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 Ladislaus Bortkiewicz

In research
Ladislaus Bortkiewicz 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 Ladislaus Bortkiewicz 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
Ladislaus Bortkiewicz is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1868 births, 1931 deaths, Academic staff of the Humboldt University of Berlin, so understanding it makes those chapters shorter.
In everyday life
Look for Ladislaus Bortkiewicz 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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Frequently asked questions

What is Ladislaus Bortkiewicz in simple terms?

Ladislaus Josephovich Bortkiewicz (Russian Владислав Иосифович Борткевич, German Ladislaus von Bortkiewicz or Ladislaus von Bortkewitsch) (7 August 1868 – 15 July 1931) was a Russian economist and statistician of Polish ancestry. He wrote a book showing how the Poisson distribution, a discrete prob…

Why does Ladislaus Bortkiewicz 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 Ladislaus Bortkiewicz?

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 Ladislaus Bortkiewicz.

Tags

  • 1868 births
  • 1931 deaths
  • Academic staff of the Humboldt University of Berlin
  • Economists from the Russian Empire
  • Emigrants from the Russian Empire to the German Empire
  • Fellows of the Royal Statistical Society
  • Marxian economists
  • Mathematicians from Saint Petersburg
  • Members of the Royal Swedish Academy of Sciences
  • People from the Russian Empire of Polish descent
  • Statisticians from the Russian Empire

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