The Estimation Of Probabilities: An Essay on Modern Bayesian Methods (MIT Press) by Irving John John Good | (PDF) Free Download

Description

The problem of how to estimate probabilities has interested philosophers, statisticians, actuaries, and mathematicians for a long time. It is currently of interest for automatic recognition, medical diagnosis, and artificial intelligence in general. This monograph reviews existing methods, including those that are new or have not been written up in a connected manner.The problem of how to estimate probabilities has interested philosophers, statisticians, actuaries, and mathematicians for a long time. It is currently of interest for automatic recognition, medical diagnosis, and artificial intelligence in general. The main purpose of this monograph is to review existing methods, especially those that are new or have not been written about in an organized way. The need for nontrivial theory arises because our samples are usually too small for us to rely exclusively on the frequency definition of probability. Most of the techniques described in this book depend on a modern Bayesian approach. The maximum-entropy principle, also relevant to this discussion, is used in the last chapter. It is hoped that the book will stimulate further work in a field whose importance will increasingly be recognized.Methods for estimating probabilities are related to another part of statistics, namely, significance testing, and example of this relationship are also presented.Many readers will be persuaded by this work that it is necessary to make use of a theory of subjective probability in order to estimate physical probabilities and also that a useful idea is that of a hierarchy of three types of probability which can sometimes be identified with physical, logical, and subjective probabilities.

User’s Reviews

Editorial Reviews: About the Author Irving Good was University Distinguished Professor of Statistics at Virginia Polytechnic Institute and State University as well as an adjunct professor of the Center for the Study of Science in Society and an adjunct professor of Philosophy.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is definitely not the easiest of books to read and the author is not always the best person at expressing himself very clearly but the message that he struggles to get over is an important one. Good is part of the Bayesian statistical movement. This is a shift away from the frequentist views of Fisher. Where Fisher is limited is in problems where you have small samples and imperfect knowledge, i.e. real life!The simplest way to explain the problem is if I roll a die 100 times and I never see a six then if I say that is a fair sample then the estimate of the probability of getting a six from the frequentists must be 0. But I can look at the die (and so long as it does have a 6 on one face and not 1 twice) and know that a six could occur. So it should have a probability. This is what Good is trying to explain in terms of dividing experiments into Type I, Type II and Type III distributions. Understanding this definition in the first chapter is essential to following his arguments in the rest of the book.A lot of the time Good’s arguments are analytical and he could have used real data to make his view clearer but at the time this was written he lacked the computational power to be able to do this. This means that his arguments have quite a few gaps where you have to trust that his assumptions are valid. This is definitely not a book for the amateur as it has some very complex parts that I am still struggling to interpret. But for those interested in the philosopical basis of statistical inference and who need a response to Hume’s ideas about empiricism and human understanding then you should read this book.

Keywords

Free Download The Estimation Of Probabilities: An Essay on Modern Bayesian Methods (MIT Press) in PDF format
The Estimation Of Probabilities: An Essay on Modern Bayesian Methods (MIT Press) PDF Free Download
Download The Estimation Of Probabilities: An Essay on Modern Bayesian Methods (MIT Press) 2003 PDF Free
The Estimation Of Probabilities: An Essay on Modern Bayesian Methods (MIT Press) 2003 PDF Free Download
Download The Estimation Of Probabilities: An Essay on Modern Bayesian Methods (MIT Press) PDF
Free Download Ebook The Estimation Of Probabilities: An Essay on Modern Bayesian Methods (MIT Press)