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ICPT '91 - Proceedings from the International Conference on Potential Theory, Amersfoort, The Netherlands, August 18-24,... ICPT '91 - Proceedings from the International Conference on Potential Theory, Amersfoort, The Netherlands, August 18-24, 1991 (Hardcover, Reprinted from POTENTIAL ANALYSIS, 3:1, 1994)
Emile M.J. Bertin
R5,307 Discovery Miles 53 070 Ships in 18 - 22 working days

ICPT91, the International Conference on Potential Theory, was held in Amersfoort, the Netherlands, from August 18--24, 1991. The volume consists of two parts, the first of which contains papers which also appear in the special issue of POTENTIAL ANALYSIS. The second part includes a collection of contributions edited and partly produced in Utrecht. Professor Monna wrote a preface reminiscing about his experiences with potential theory, mathematics and mathematicians during the last sixty years. The final pages contain a list of participants and a compact index.

Unimodality of Probability Measures (Hardcover, 1997 ed.): Emile M.J. Bertin, I. Cuculescu, Radu Theodorescu Unimodality of Probability Measures (Hardcover, 1997 ed.)
Emile M.J. Bertin, I. Cuculescu, Radu Theodorescu
R4,033 Discovery Miles 40 330 Ships in 18 - 22 working days

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]).

ICPT '91 - Proceedings from the International Conference on Potential Theory, Amersfoort, The Netherlands, August 18-24,... ICPT '91 - Proceedings from the International Conference on Potential Theory, Amersfoort, The Netherlands, August 18-24, 1991 (Paperback, Softcover reprint of the original 1st ed. 1994)
Emile M.J. Bertin
R5,147 Discovery Miles 51 470 Ships in 18 - 22 working days

ICPT91, the International Conference on Potential Theory, was held in Amersfoort, the Netherlands, from August 18--24, 1991. The volume consists of two parts, the first of which contains papers which also appear in the special issue of POTENTIAL ANALYSIS. The second part includes a collection of contributions edited and partly produced in Utrecht. Professor Monna wrote a preface reminiscing about his experiences with potential theory, mathematics and mathematicians during the last sixty years. The final pages contain a list of participants and a compact index.

Unimodality of Probability Measures (Paperback, Softcover reprint of hardcover 1st ed. 1997): Emile M.J. Bertin, I. Cuculescu,... Unimodality of Probability Measures (Paperback, Softcover reprint of hardcover 1st ed. 1997)
Emile M.J. Bertin, I. Cuculescu, Radu Theodorescu
R4,011 Discovery Miles 40 110 Ships in 18 - 22 working days

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]).

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