Browse Category by Probability
Probability

Statistical Rules of Thumb by Gerald van Belle

By Gerald van Belle

Statistics-in one convenient reference no longer even the main significant statistician can immediately remember each rule and idea that varieties the day-by-day bread of statistical paintings. for each practitioner and scholar with out a photographic reminiscence, here's an eminently sensible, easy-to-use, concise sourcebook that places a wide variety of subject matters immediately at your fingertips. Sensibly geared up for fast reference, Statistical principles of Thumb compiles uncomplicated ideas which are greatly appropriate, powerful, and stylish, and that seize key statistical innovations. Explaining the justification for every rule, this guide additionally conveys many of the chances that statisticians needs to contemplate whilst designing and accomplishing a research or examining its information. It presents a framework for contemplating such features of statistical paintings as: * Randomness and statistical types * pattern measurement * Covariation * Epidemiology * Environmental reports * Designing, undertaking, and reading experiences * phrases, tables, and graphs * Consulting convenient and trustworthy, this all-in-one reference will be the depended on significant other of each statistician.

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Modélisation et statistique spatiales by Carlo Gaetan, Xavier Guyon

By Carlo Gaetan, Xavier Guyon

La statistique spatiale conna?t un d?veloppement vital du fait de son utilisation dans de nombreux domaines : sciences de los angeles terre, environnement et climatologie, ?pid?miologie, ?conom?trie, examine d’image, and so on… Ce livre pr?sente les principaux mod?les spatiaux utilis?s ainsi que leur statistique pour les trois kinds de donn?es : g?ostatistiques (observation sur un domaine continu), donn?es sur r?seau discret, donn?es ponctuelles. L’objectif est pr?senter de fa?on concise mais math?matiquement compl?te les mod?les les plus classiques (second ordre et variogramme ; mod?le latticiel et champ de Gibbs-Markov ; processus ponctuels) ainsi que leur simulation par algorithme MCMC. Vient ensuite los angeles pr?sentation des outils statistiques utiles ? leur ?tude. De nombreux exemples utilisant R illustrent les sujets abord?s. Chaque chapitre est compl?t? par des exercices et une annexe pr?sente bri?vement les outils probabilistes et statistiques utiles ? l. a. statistique de champs al?atoires.

In fresh years spatial records has been generally utilized in diversified parts comparable to climatology, ecology, economic system, epidemiology, photo research, and so on. This quantity illustrates the most spatial versions and the present statistical equipment for point-referenced, areal facts and aspect trend information with an emphasis on fresh simulation ideas corresponding to MCMC algorithms. The presentation is concise yet mathematically rigorous and the proposed equipment are illustrated utilizing actual facts and the software program R. a few routines entire every one bankruptcy. the amount is offered for senior undergraduate scholars, Ph.D. scholars in facts, and skilled statisticians. furthermore researchers within the above pointed out parts will locate it worthy as a mathematically sound reference.

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Normal approximation and asymptotic expansions by Rabi N. Bhattacharya, R. Rango Rao

By Rabi N. Bhattacharya, R. Rango Rao

This monograph offers in a unified means a variety of refinements of the classical important restrict theorem for self sustaining random vectors and contains fresh study at the subject.Эта монография представляет собой объединенные разноообразные уточнения классический центральной предельной теории для независимых случайных величин и включает недавние исследования в этой области.

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Empirical likelihood by Art B. Owen

By Art B. Owen

Empirical probability presents inferences whose validity doesn't depend upon specifying a parametric version for the knowledge. since it makes use of a chance, the strategy has convinced inherent benefits over resampling tools: it makes use of the information to figure out the form of the boldness areas, and it makes it effortless to mixed information from a number of resources. It additionally enables incorporating aspect details, and it simplifies accounting for censored, truncated, or biased sampling.One of the 1st books released at the topic, Empirical chance bargains an in-depth remedy of this system for developing self belief areas and checking out hypotheses. the writer applies empirical probability to various difficulties, from these so simple as environment a self belief sector for a univariate suggest lower than IID sampling, to difficulties outlined via delicate capabilities of ability, regression types, generalized linear types, estimating equations, or kernel smooths, and to sampling with non-identically disbursed info. ample figures supply visible reinforcement of the recommendations and strategies. Examples from numerous disciplines and unique descriptions of algorithms-also published on a better half website at-illustrate the tools in perform. workouts support readers to appreciate and practice the methods.The approach to empirical likelihood is now attracting critical recognition from researchers in econometrics and biostatistics, in addition to from statisticians. This e-book is your chance to discover its foundations, its merits, and its software to a myriad of functional difficulties.

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Eine Einführung in die Statistik und ihre Anwendungen by Judith Eckle-Kohler, Michael Kohler

By Judith Eckle-Kohler, Michael Kohler

Dieses Buch gibt eine umfassende Einführung in die Grundprinzipien der Statistik und die zugrundeliegende mathematische Theorie des Zufalls. Schwerpunkte dabei sind die Verdeutlichung des Nutzens dieser Theorie in Anwendungen und die mathematisch exakte Einführung wichtiger Konzepte (wie z.B. des Begriffes der Zufallsvariablen) bei gleichzeitigem Ausblenden nicht benötigter info. Das Buch soll auch Lesern ohne Vorkenntnisse in diesem Bereich ermöglichen, die grundlegenden Ideen und den Nutzen der Statistik schnell kennenzulernen. Behandelt werden unter anderem: Die Erhebung von Daten im Rahmen von Studien und Umfragen, Methoden der beschreibenden Statistik (wie z.B. Histogramme und statistische Maßzahlen), die Grundbegriffe der Wahrscheinlichkeitstheorie (insbesondere Wahrscheinlichkeitsmaße, Zufallsvariablen, Erwartungswert und Varianz sowie die Gesetze der großen Zahlen und der zentrale Grenzwertsatz) und die grundlegenden Methoden der schließenden Statistik (insbesondere Punktschätzungen, Bereichsschätzungen und statistische Testverfahren). Das Buch wird an der TU Darmstadt zur Zeit sowohl als Grundlage für Vorlesungen für Studierende des Faches Mathematik als auch in Service-Veranstaltungen für Hörer anderer Fächer (wie z.B. Biologie, Psychologie, Pädagogik und Soziologie) eingesetzt.

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Statistical Design by George Casella

By George Casella

Although statistical layout is likely one of the oldest branches of information, its significance is ever expanding, particularly within the face of the knowledge flood that regularly faces statisticians. you will need to realize the precise layout, and to appreciate tips to successfully enforce it, being acutely aware that the default settings from a working laptop or computer package deal can simply offer an mistaken research. The objective of this booklet is to explain the rules that force solid layout, being attentive to either the theoretical history and the issues bobbing up from actual experimental events. Designs are prompted via genuine experiments, starting from the undying agricultural randomized whole block, to microarray experiments, which clearly result in break up plot designs and balanced incomplete blocks.

George Casella is wonderful Professor within the division of facts on the college of Florida. he's energetic in lots of elements of records, having contributed to theoretical records within the components of determination idea and statistical self belief, to environmental facts, and has extra lately centred efforts in statistical genomics. He additionally keeps energetic examine pursuits within the concept and alertness of Monte Carlo and different computationally in depth tools. he's indexed as an ISI "Highly

Cited Researcher."

In different capacities, Professor Casella has served as conception and techniques Editor of the magazine of the yankee Statistical organization, 1996-1999, govt Editor of Statistical technological know-how, 2001-2004, and Co-Editor of the magazine of the Royal Statistical Society, sequence B, 2009-2012. He has served at the Board of Mathematical Sciences of the nationwide study Council, 1999-2003, and lots of committees of either the yank Statistical organization and the Institute of Mathematical information. Professor Casella has co-authored 5 textbooks: Variance elements, 1992; thought of element Estimation, moment version, 1998; Monte Carlo Statistical equipment, moment version, 2004; Statistical Inference, moment version, 2001, and Statistical Genomics of advanced features, 2007.

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Probability

Advanced Stochastic Models, Risk Assessment, and Portfolio by Svetlozar T. Rachev, Stoyan V. Stoyanov, Visit Amazon's

By Svetlozar T. Rachev, Stoyan V. Stoyanov, Visit Amazon's Frank J. Fabozzi Page, search results, Learn about Author Central, Frank J. Fabozzi,

This groundbreaking e-book extends conventional techniques of probability size and portfolio optimization by means of combining distributional types with threat or functionality measures into one framework. all through those pages, the specialist authors clarify the basics of chance metrics, define new methods to portfolio optimization, and speak about numerous crucial threat measures. utilizing various examples, they illustrate a number of purposes to optimum portfolio selection and danger thought, in addition to functions to the realm of computational finance which may be necessary to monetary engineers.

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Interaction between functional analysis, harmonic analysis, by Nigel Kalton, Elias Saab, Stephen Montgomery-Smith

By Nigel Kalton, Elias Saab, Stephen Montgomery-Smith

In keeping with the convention at the interplay among sensible research, Harmonic research, and chance conception, held lately on the collage of Missouri;Columbia, this informative reference deals updated discussions of every particular field;probability concept and harmonic and practical analysis;and integrates issues universal to every.

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