In statistics, the Champernowne distribution is a symmetric, continuous probability distribution, describing random variables that take both positive and negative values. It is a generalization of the logistic distribution that was introduced by D. G. Champernowne.[1][2][3] Champernowne developed the distribution to describe the logarithm of income.[2]
^C. Kleiber and S. Kotz (2003). Statistical Size Distributions in Economics and Actuarial Sciences. New York: Wiley. Section 7.3 "Champernowne Distribution."
^ abChampernowne, D. G. (1952). "The graduation of income distributions". Econometrica. 20 (4): 591–614. doi:10.2307/1907644. JSTOR 1907644.
^Champernowne, D. G. (1953). "A Model of Income Distribution". The Economic Journal. 63 (250): 318–351. doi:10.2307/2227127. JSTOR 2227127.
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distribution that was introduced by D. G. Champernowne. Champernowne developed the distribution to describe the logarithm of income. The Champernowne...
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ISSN 0300-5771. PMID 27581804. Champernowne, D. G.; Cowell, F. A. (1999). Economic Inequality and Income Distribution. Cambridge University Press. Campano...
higher) do not contain the digit 1, and none of these numbers is normal. Champernowne's constant 0.1234567891011121314151617181920212223242526272829..., obtained...
Weisstein, Eric W. "Feller–Tornier Constant". MathWorld. Weisstein, Eric W. "Champernowne Constant". MathWorld. Weisstein, Eric W. "Salem Constants". MathWorld...
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≤ j ≤ n {\displaystyle 1\leq j\leq n} (by the Baker's theorem). The Champernowne constants, the irrational numbers formed by concatenating representations...
mathematicians to prove the transcendence of many more numbers, such as the Champernowne constant. The theorem is still not strong enough to detect all transcendental...
condition was called the "whales and wranglers" hypothesis by D. G. Champernowne, who provided a verbal and economic commentary on the English translation...
recorded that the lands by the church were part of the estate owned by Champernowne family, while those by the harbour belonged to the Bouchier family: Earls...
1007/978-1-4684-9339-9. ISBN 0-387-90508-1. MR 0584443. Bugeaud, Yann (2012). Distribution modulo one and Diophantine approximation. Cambridge Tracts in Mathematics...
condition was called the "whales and wranglers" hypothesis by David Champernowne, who provided a verbal and economic commentary on the English translation...
achieved by the constant word and a disjunctive word, for example, the Champernowne word respectively. For infinite words u, we have pu(n) bounded if u is...
ctt15jjfrm. Tuttle, Charles Wesley, ed. (16 October 2018). Capt. Francis Champernowne: The Dutch Conquest of Acadie, and Other Historical Papers. Creative...
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