By S. James Press
Shorter, extra concise chapters supply versatile insurance of the subject.Expanded assurance contains: uncertainty and randomness, past distributions, predictivism, estimation, research of variance, and type and imaging.Includes subject matters now not coated in different books, corresponding to the de Finetti Transform.Author S. James Press is the trendy guru of Bayesian information.
By Elisa T. Lee;John Wang
3rd variation brings the textual content modern with new fabric and up-to-date references.New content material contains an creation to left and period censored info; the log-logistic distribution; estimation systems for left and period censored facts; parametric equipment iwth covariates; Cox's proportional dangers version (including stratification and time-dependent covariates); and a number of responses to the logistic regression model.Coverage of graphical tools has been deleted.Large information units are supplied on an FTP web site for readers' convenience.Bibliographic comments finish each one bankruptcy.
By Christer Borell (auth.), Xavier Fernique, Bernard Heinkel, Paul-André Meyer, Michael B. Marcus (eds.)
By Christian H. Schäfer, Jens-Uwe Scheer
By M Pilch; H Yan; T G Theofanous; U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Systems Research.; Sandia National Laboratories
By Olle Häggström, A. Ring, C. Ring
Dies ist eine Einf?hrung in die Wahrscheinlichkeitstheorie - der Mathematik des Zufalls. In einer mehr oder weniger losen Folge von Kapiteln werden veschiedene Themen angesprochen: Ein Teil behandelt klassische Begriffe, wie Irrfahrten oder die Gesetze der gro?en Zahlen, w?hrend andere Kapitel zeigen, wie die Mathematik in aktuelle Forschungen, z.B. die der Evolutionsbiologie, eingreift. Anschaulich wird der Zusammenhang zur Spieltheorie erl?utert.
Der textual content widmet sich ausf?hrlich einigen der am meisten diskutierten Paradoxa der Wahrscheinlichkeitstheorie, deren Betrachtung zu lehrreichen Einsichten f?hrt. Einen wichtigen Raum nimmt auch die Perkolation und ihre Anwendungen ein, so wird zum Beispiel das so genannte "kleine Welt"-Ph?nomen mathematisch untersucht.
Das Buch ist in erster Linie als Zusatzlekt?re f?r Vorlesungen zur Stochastik und mathematischen Statistik im Grundstudium an Universit?t und Hochschule gedacht. Dar?ber hinaus gibt es Anregungen f?r Gymnasiallehrer und ihre Sch?ler. H?ggstr?ms Buch leistet f?r die Wahrscheinlichkeitstheorie das, was once J?nichs f?r die Topologie tut.
By A. Ya. Khinchin (auth.), A. N. Shiryayev (eds.)
This quantity is the second one of 3 volumes dedicated to the paintings of 1 of the main famous twentieth-century mathematicians. all through his mathematical paintings, A.N. Kolmogorov (1903-1987) confirmed nice creativity and flexibility and his wide-ranging reviews in lots of diversified parts ended in the answer of conceptual and primary difficulties and the posing of latest, very important questions. His lasting contributions embody chance thought and data, the speculation of dynamical platforms, mathematical good judgment, geometry and topology, the idea of features and useful research, classical mechanics, the speculation of turbulence, and data thought.
This moment quantity includes papers on chance concept and mathematical statistics, and embraces issues akin to restrict theorems, axiomatics and logical foundations of likelihood conception, Markov chains and tactics, desk bound techniques and branching strategies.
the cloth showing in each one quantity was once chosen by means of A.N. Kolmogorov himself and is observed via brief introductory notes and commentaries which replicate upon the impact of this paintings at the improvement of contemporary arithmetic. All papers seem in English - a few for the 1st time -- and in chronological order. This quantity encompasses a major legacy so that it will locate many thankful beneficiaries among researchers and scholars of arithmetic and mechanics, in addition to historians of arithmetic.
By P. D. Finch (auth.), William Leonard Harper, Clifford Alan Hooker (eds.)
In might of 1973 we prepared a global learn colloquium on foundations of chance, data, and statistical theories of technological know-how on the college of Western Ontario. up to now 4 many years there were remarkable formal advances in our figuring out of good judgment, semantics and algebraic constitution in probabilistic and statistical theories. those advances, which come with the improvement of the kinfolk among semantics and metamathematics, among logics and algebras and the algebraic-geometrical foundations of statistical theories (especially within the sciences), have resulted in amazing new insights into the formal and conceptual constitution of likelihood and statistical thought and their medical functions within the type of medical idea. the rules of facts are in a kingdom of profound clash. Fisher's objections to a couple elements of Neyman-Pearson information have lengthy been renowned. extra lately the emergence of Bayesian records as an intensive substitute to straightforward perspectives has made the clash particularly acute. in recent times the reaction of many practicing statisticians to the clash has been an eclectic method of statistical inference. Many reliable statisticians have built one of those knowledge which permits them to understand which difficulties are so much properly dealt with by way of all of the tools to be had. the quest for ideas which might clarify why all the equipment works the place it does and fails the place it does deals a fruitful method of the debate over foundations.
By Wolfgang Schwarz
"40 Puzzles and difficulties in likelihood and Mathematical Statistics" is meant to coach the reader to imagine probabilistically via fixing hard, non-standard chance difficulties. the incentive for this sincerely written assortment lies within the trust that difficult difficulties aid to enhance, and to sharpen, our probabilistic instinct far better than plain-style deductions from summary strategies. the chosen difficulties fall into huge different types. difficulties regarding chance concept come first, by way of difficulties regarding the applying of chance to the sector of mathematical data. All difficulties search to show a non-standard point or an technique which isn't instantly obvious.
The observe puzzles within the identify refers to questions within which a few qualitative, non-technical perception is most vital. preferably, puzzles can educate a effective new manner of framing or representing a given scenario. even if the border among the 2 isn't really consistently truly outlined, difficulties are inclined to require a extra systematic program of formal instruments, and to emphasize extra technical elements. therefore, an immense goal of the current assortment is to bridge the space among introductory texts and rigorous state of the art books.
Anyone with a uncomplicated wisdom of likelihood, calculus and information will take advantage of this e-book; despite the fact that, a few of the difficulties accrued require little greater than user-friendly likelihood and immediately logical reasoning. to aid someone utilizing this publication for self-study, the writer has integrated very special step-for-step ideas of all difficulties and likewise brief tricks which element the reader within the applicable course.