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A History of Inverse Probability: From Thomas Bayes to Karl Pearson

Posted By: AvaxGenius
A History of Inverse Probability: From Thomas Bayes to Karl Pearson

A History of Inverse Probability: From Thomas Bayes to Karl Pearson by Andrew I. Dale
English | PDF | 1991 | 512 Pages | ISBN : 1468404172 | 62.9 MB

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.

Probability, Statistics and Time: A collection of essays

Posted By: AvaxGenius
Probability, Statistics and Time: A collection of essays

Probability, Statistics and Time: A collection of essays by M. S. Bartlett
English | PDF | 1975 | 156 Pages | ISBN : 0412222604 | 13.9 MB

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).

Visualizing Linear Models

Posted By: AvaxGenius
Visualizing Linear Models

Visualizing Linear Models by W. D. Brinda
English | PDF,EPUB | 2021 | 175 Pages | ISBN : 303064166X | 19.7 MB

This book provides a visual and intuitive coverage of the core theory of linear models. Designed to develop fluency with the underlying mathematics and to build a deep understanding of the principles, it's an excellent basis for a one-semester course on statistical theory and linear modeling for intermediate undergraduates or graduate students.

Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics

Posted By: AvaxGenius
Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics

Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics by R.-D. Reiss
English | PDF | 1989 | 363 Pages | ISBN : 1461396220 | 27.5 MB

This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concern­ ing the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense.

Linear Model Theory: With Examples and Exercises

Posted By: AvaxGenius
Linear Model Theory: With Examples and Exercises

Linear Model Theory: With Examples and Exercises by Dale L. Zimmerman
English | EPUB | 2020 | 513 Pages | ISBN : 3030520625 | 23 MB

This textbook presents a unified and rigorous approach to best linear unbiased estimation and prediction of parameters and random quantities in linear models, as well as other theory upon which much of the statistical methodology associated with linear models is based. The single most unique feature of the book is that each major concept or result is illustrated with one or more concrete examples or special cases.

Linear Model Theory: Exercises and Solutions

Posted By: AvaxGenius
Linear Model Theory: Exercises and Solutions

Linear Model Theory: Exercises and Solutions by Dale L. Zimmerman
English | EPUB | 2020 | 350 Pages | ISBN : 3030520730 | 24 MB

This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation.