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Likelihood

Likelihood
Author: A. W. F. Edwards
Publisher: CUP Archive
Total Pages: 266
Release: 1984-11-29
Genre: Mathematics
ISBN: 9780521318716

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Dr Edwards' stimulating and provocative book advances the thesis that the appropriate axiomatic basis for inductive inference is not that of probability, with its addition axiom, but rather likelihood - the concept introduced by Fisher as a measure of relative support amongst different hypotheses. Starting from the simplest considerations and assuming no more than a modest acquaintance with probability theory, the author sets out to reconstruct nothing less than a consistent theory of statistical inference in science.


A History of Inverse Probability

A History of Inverse Probability
Author: Andrew I. Dale
Publisher: Springer Science & Business Media
Total Pages: 512
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468404156

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It is thought as necessary to write a Preface before a Book, as it is judged civil, when you invite a Friend to Dinner, to proffer him a Glass of Hock beforehand for a Whet. John Arbuthnot, from the preface to his translation of Huygens's "De Ratiociniis in Ludo Alooe". Prompted by an awareness of the importance of Bayesian ideas in modern statistical theory and practice, I decided some years ago to undertake a study of the development and growth of such ideas. At the time it seemed appropriate to begin such an investigation with an examination of Bayes's Essay towards solving a problem in the doctrine of chances and Laplace's Theorie analytique des probabilites, and then to pass swiftly on to a brief consideration of other nineteenth century works before turning to what would be the main topic of the treatise, videlicet the rise of Bayesian statis tics from the 1950's to the present day. It soon became apparent, however, that the amount of Bayesian work published was such that a thorough investigation of the topic up to the 1980's would require several volumes - and also run the risk of incurring the wrath of extant authors whose writings would no doubt be misrepre sented, or at least be so described. It seemed wise, therefore, to restrict the period and the subject under study in some way, and I decided to con centrate my attention on inverse probability from Thomas Bayes to Karl Pearson.


Breakthroughs in Statistics

Breakthroughs in Statistics
Author: Samuel Kotz
Publisher: Springer Science & Business Media
Total Pages: 576
Release: 2013-12-01
Genre: Mathematics
ISBN: 1461206677

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Volume III includes more selections of articles that have initiated fundamental changes in statistical methodology. It contains articles published before 1980 that were overlooked in the previous two volumes plus articles from the 1980's - all of them chosen after consulting many of today's leading statisticians.


A History of Inverse Probability

A History of Inverse Probability
Author: Andrew I. Dale
Publisher: Springer Science & Business Media
Total Pages: 691
Release: 2012-09-08
Genre: Mathematics
ISBN: 1441986529

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This is a history of the use of Bayes theoremfrom its discovery by Thomas Bayes to the rise of the statistical competitors in the first part of the twentieth century. The book focuses particularly on the development of one of the fundamental aspects of Bayesian statistics, and in this new edition readers will find new sections on contributors to the theory. In addition, this edition includes amplified discussion of relevant work.


Unifying Political Methodology

Unifying Political Methodology
Author: Gary King
Publisher: University of Michigan Press
Total Pages: 290
Release: 1998-06-24
Genre: Mathematics
ISBN: 9780472085545

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DIVArgues that likelihood theory is a unifying approach to statistical modeling in political science /div


Probability, Statistics and Time

Probability, Statistics and Time
Author: M. S. Bartlett
Publisher: Springer Science & Business Media
Total Pages: 156
Release: 2012-12-06
Genre: Science
ISBN: 9400958897

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Some years ago when I. assembled a number of general articles and lectures on probability and statistics, their publication (Essays in Probability and Statistics, Methuen, London, 1962) received a some what better reception than I had been led to expect of such a miscellany. I am consequently tempted to risk publishing this second collection, the title I have given it (taken from the first lecture) seeming to me to indicate a coherence in my articles which my publishers might otherwise be inclined to query. As in the first collection, the articles are reprinted chronologically, usually without comment. One exception is the third, not previously published and differing from the original spoken version both slightly where indicated in the text and by the addition of an Appendix. I apologize for the inevitable limitations due to date, and also for any occasional repetition of the discussion (e.g. on Bayesian methods in statistical inference). In particular, readers technically interested in the classification and use of nearest-neighbour models, a topic raised in Appendix II of the fourth article, should also refer to my monograph The Statistical Analysis of Spatial Pattern (Chapman and Hall, London, 1976), where a much more up-to-date account of these models will be found, and, incidentally, a further emphasis, if one is needed, of the common statistical theory of physics and biology. March 1975 M.S.B.


Inverse Probability

Inverse Probability
Author: Sir Ronald Aylmer Fisher
Publisher:
Total Pages: 0
Release: 1930
Genre: Probabilities
ISBN:

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