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Viac informácií o knihe Unimodality of Probability Measures

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Anotácia knihy

Labor omnia vincit improbus. VIRGIL, Georgica I, 144-145. In the first part of his Theoria combinationis observationum erroribus min imis obnoxiae, published in 1821, Carl Friedrich Gauss [Gau80, p.10] deduces a Chebyshev-type inequality for a probability density function, when it only has the property that its value always decreases, or at least does l not increase, if the absolute value of x increases . One may therefore conjecture that Gauss is one of the first scientists to use the property of 'single-humpedness' of a probability density function in a meaningful probabilistic context. More than seventy years later, zoologist W.F.R. Weldon was faced with 'double humpedness'. Indeed, discussing peculiarities of a population of Naples crabs, possi bly connected to natural selection, he writes to Karl Pearson (E.S. Pearson [Pea78, p.328]): Out of the mouths of babes and sucklings hath He perfected praise! In the last few evenings I have wrestled with a double humped curve, and have overthrown it. Enclosed is the diagram... If you scoff at this, I shall never forgive you. Not only did Pearson not scoff at this bimodal probability density function, he examined it and succeeded in decomposing it into two 'single-humped curves' in his first statistical memoir (Pearson [Pea94]).

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Probability & statistics

• Celý názov: Unimodality of Probability Measures
• Autor: Emile M.J. Bertin, I. Cuculescu, Radu Theodorescu
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 256
• EAN: 9789048147694
• ISBN: 9048147697
• ID: 05322407
• Nakladateľ: Springer Netherlands
• Hmotnosť: 421 g
• Rozmery: 240 × 160 × 14 mm
• Rok vydania: 2010

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