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Ladislaus Bortkiewicz

From Wikipedia, the free encyclopedia
Russian economist and statistician
Ladislaus Bortkiewicz
Born
Ladislaus Josephovich Bortkiewicz

(1868-08-07)7 August 1868
Died15 July 1931(1931-07-15) (aged 62)
Alma materUniversity of Strasbourg,Habilitation 1895
University of Göttingen, Ph.D. 1892
University of Saint Petersburg 1890
Known forPoisson distribution
Transformation problem
Scientific career
FieldsEconomist,Statistician
InstitutionsUniversity of Berlin 1901–31 Professor
Alexandrowskii Lyceum 1899–1900
Russian Railways 1897–01
University of Strasbourg, 1895–1897Privatdozent
ThesisDie mittlere Lebensdauer: Die Methoden ihrer Bestimmung und ihr Verhältnis zur Sterblichkeitsmessung (1892)
Doctoral advisorGeorg Friedrich Knapp (Habil.)
Wilhelm Lexis (Ph.D.)
Doctoral studentsWassily Leontief

Ladislaus Josephovich Bortkiewicz (Russian Владислав Иосифович Борткевич,GermanLadislaus von Bortkiewicz orLadislaus von Bortkewitsch) (7 August 1868 – 15 July 1931) was a Russianeconomist andstatistician ofPolish ancestry. He wrote a book showing how thePoisson distribution, a discreteprobability distribution, can be useful in applied statistics, and he made contributions tomathematical economics. He lived most of his professional life inGermany, where he taught at Strassburg University (Privatdozent, 1895–1897) and Berlin University (1901–1931).

Life and work

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Ladislaus Bortkiewicz was born inSaint Petersburg,Imperial Russia, to two ethnic Polish parents: Józef Bortkiewicz and Helena Bortkiewicz (née Rokicka). His father was aPolish nobleman who served in theRussian Imperial Army.

Bortkiewicz graduated from the Law Faculty in 1890. In 1898 he published a book about thePoisson distribution, titledThe Law of Small Numbers.[1] 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[2] have suggested that the Poisson distribution should have been named the "Bortkiewicz distribution."

Bortkiewicz' 1971 bookThe economic theory of Marx

In political economy, Bortkiewicz is important for his analysis ofKarl Marx's reproduction schema in the last two volumes ofCapital. Bortkiewicz identified atransformation problem in Marx's work. Making use ofDmitriev's analysis ofRicardo, 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 untilPaul 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.[citation needed][clarification needed]

Bortkiewicz died inBerlin,Germany. His papers, including a voluminous correspondence file (some 1,000 letters 1876–1931), were deposited atUppsala University in Sweden,[3] except for his correspondence withLéon Walras which went into the collection of the Walras scholarWilliam Jaffé in the USA.

Major publications

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Notes

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  1. ^Ladislaus von Bortkiewicz,Das Gesetz der kleinen Zahlen [The law of small numbers] (Leipzig, Germany: B.G. Teubner, 1898). Onpage 1, Bortkiewicz presents the Poisson distribution. Onpages 23–25, Bortkiewicz presents his famous analysis of "4. Beispiel: Die durch Schlag eines Pferdes im preussischen Heere Getöteten." (4. Example: Those killed in the Prussian army by a horse's kick.). On pages 17–20 Bortkiewicz presents his analysis of "1. Beispiel: Die Selbstmorde von Kindern in Preussen." (1. Example: Suicides of children in Prussia.). Bortkiewicz's book is reviewed in: L. v. Bortkewitsch (1898) "Das Gesetz der kleinen Zahlen,"Monatshefte für Mathematik, vol. 9,pages 39–41.
  2. ^p.e. I J Good, Some statistical applications of Poisson's work, Statist. Sci. 1 (2) (1986), 157–180.JSTOR link
  3. ^L.v.Bortkiewicz Archiv, Manuskript & Musik Abteilung, Universitätsbibliothek Uppsala,

References

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  • 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 Sciences2 (New York, 1968), pp. 128–131. Freely available online atStatProb @ Internet Archive Wayback Machine
  • Paul A. Samuelson. Resolving a Historical Confusion in Population Analysis. Human Biology, 48, 1976: pp. 559–580

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