Philosophies, Puzzles and Paradoxes

ISBN-13: 9781032377391 / Miękka / 2024 / 320 str.

South Korea) Lee Youngjo (Seoul National University

Opis

Aimed at undergraduate students of statistics and researchers interested in the philosophical foundations of statistics. Of interest to philosophers of science, as well as a general audience interested in puzzles and paradoxes.

Spis treści

1.  1. Philosophical Theories of Knowledge and Truth. 2 Deduction and Induction. 3. Hilbert’s Broken Dream: Limitations of Deductive Reasoning. 4. ‘Real’ Scientific Process. 5. The Rise of Probability. 6. Philosophical Theories of Probability. 7. Rereading Savage. 8. Inverse Probability Method. 9. What Prior? 10. Likelihood. 11. P-value and Confidence. 12. Extended Likelihood. 13. Epistemic Confidence. 14. Paradoxes of Savage’s Axioms. 15. Fallacious Fallacies. 16. Monty Hall Puzzle and the Three Prisoners Paradox. 17. Lottery Paradox and the Cold Suspect Puzzle. 18. Paradox of the Ravens. 19. Exchange Paradox.

 

O autorze

Yudi Pawitan graduated with a PhD in Statistics in 1987 from the University of California at Davis and has been Professor of Biostatistics since 2001 at the Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, Stockholm, Sweden. He has worked in many areas of statistical applications, including time series analyses and medical imaging, and for the last 20 years in the modelling and analysis of high-throughput genetic and molecular data with particular applications in cancer. He has published more than 200 peer-reviewed research papers, split about equally between methodology and applied publications. He is the author of the monographs In All Likelihood (2001) and co-author of Generalized Linear Models with Random Effects (2017) together with Youngjo Lee and John Nelder, both covering likelihood-based statistical modelling and inference. Philosophy of science, statistical puzzles and paradoxes have been a lifelong interest.

Youngjo Lee graduated with a PhD in Statistics in 1983 from Iowa State University. He is currently a Professor Emeritus of Statistics at Seoul National University, an Endowed-Chair Professor of Data and Knowledge Service Engineering at Dankook University, and a Vice President of the Korean Academy of Science and Technology. Alongside the late John Asworth Nelder, he is an originator of hierarchical generalized models and h-likelihood, having co-authored over 200 peer-reviewed research papers on the application of h-likelihood in various statistical areas. He is also a co-author of monographs on h-likelihood theory and applications. Furthermore, he has developed related software and is currently extending h-likelihood procedures to deep neural networks.