This monograph is an outgrowth of a set of lecture notes on the maximum entropy method delivered at the 1st Venezuelan School of Mathematics. This yearly event aims at acquainting graduate students and university teachers with the trends, techniques and open problems of current interest. In this book the author reviews several versions of the maximum entropy method and makes its underlying philosophy clear.
This volume deals with two complementary topics. On one hand the book deals with the problem of determining the the probability distribution of a positive compound random variable, a problem which appears in the banking and insurance industries, in many areas of operational research and in reliability problems in the engineering sciences. On the other hand, the methodology proposed to solve such problems, which is based on an application of the maximum entropy method to invert the Laplace transform of the distributions, can be applied to many other problems. The book contains applications to a large variety of problems, including the problem of dependence of the sample data used to estimate empirically the Laplace transform of the random variable. Contents Introduction Frequency models Individual severity models Some detailed examples Some traditional approaches to the aggregation problem Laplace transforms and fractional moment problems The standard maximum entropy method Extensions of the method of maximum entropy Superresolution in maxentropic Laplace transform inversion Sample data dependence Disentangling frequencies and decompounding losses Computations using the maxentropic density Review of statistical procedures
The book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem.A variety of mathematical aspects of the maximum entropy method are explored as well.
This monograph is an outgrowth of a set of lecture notes on the maximum entropy method delivered at the 1st Venezuelan School of Mathematics. This yearly event aims at acquainting graduate students and university teachers with the trends, techniques and open problems of current interest. In this book the author reviews several versions of the maximum entropy method and makes its underlying philosophy clear.
This volume deals with two complementary topics. On one hand the book deals with the problem of determining the the probability distribution of a positive compound random variable, a problem which appears in the banking and insurance industries, in many areas of operational research and in reliability problems in the engineering sciences. On the other hand, the methodology proposed to solve such problems, which is based on an application of the maximum entropy method to invert the Laplace transform of the distributions, can be applied to many other problems. The book contains applications to a large variety of problems, including the problem of dependence of the sample data used to estimate empirically the Laplace transform of the random variable. Contents Introduction Frequency models Individual severity models Some detailed examples Some traditional approaches to the aggregation problem Laplace transforms and fractional moment problems The standard maximum entropy method Extensions of the method of maximum entropy Superresolution in maxentropic Laplace transform inversion Sample data dependence Disentangling frequencies and decompounding losses Computations using the maxentropic density Review of statistical procedures
Describes a useful tool for solving linear inverse problems subject to convex constraints. This book consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem. It explores a variety of mathematical aspects of the maximum entropy method.
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The Polish author Henryk Sienkiewicz is best remembered for his historical novels, particularly the internationally known bestseller ‘Quo Vadis’. Numerous translations of his innovative novels gained him international renown, culminating with the 1905 Nobel Prize in Literature for "outstanding merits as an epic writer." This comprehensive eBook presents Sienkiewicz’ complete works, with numerous illustrations, rare texts appearing in digital print for the first time, informative introductions and the usual Delphi bonus material. (Version 1) * Beautifully illustrated with images relating to Sienkiewicz’ life and works * Concise introductions to the novels and other texts * All 10 translated novels, with individual contents tables * Images of how the books were first published, giving your eReader a taste of the original texts * Excellent formatting of the texts * Features rare short stories appearing for the first time in digital publishing * Special chronological and alphabetical contents tables for the short stories * Easily locate the short stories you want to read * Scholarly ordering of texts into chronological order and literary genres Please visit www.delphiclassics.com to browse through our range of exciting titles CONTENTS: The Trilogy With Fire and Sword The Deluge Pan Michael Other Novels Without Dogma Children of the Soil Quo Vadis The Knights of the Cross On the Field of Glory Whirlpools In Desert and Wilderness The Shorter Fiction Yanko the Musician and Other Stories Lillian Morris and Other Stories Hania and Other Stories Let Us Follow Him Sielanka: A Forest Picture, and Other Stories In Vain Life and Death and Other Legends and Stories The Short Stories List of Short Stories in Chronological Order List of Short Stories in Alphabetical Order Non-Fiction and Dramas So Runs the World Please visit www.delphiclassics.com to browse through our range of exciting titles or to purchase this eBook as a Parts Edition of individual eBooks
With Fire and Sword" is the historical novel of the Polish writer Henryk Sienkiewicz.The novel opens the historical trilogy of Senkevich, which also includes the "Flood" and "Pan Volodyevsky." The novel takes place from 1647 to 1651, during the rebellion of Bohdan Khmelnitsky in Ukraine.It was first published in the polish journal "Friend of the People" in 1884. The novel immediately gained grate popularity.
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