General Preface |
|
vii | |
|
|
|
Preface |
|
ix | |
|
Prasanta S. Bandyopadhyay |
|
|
|
|
xiii | |
Introduction |
|
|
Philosophy of Statistics: An Introduction |
|
|
1 | (52) |
|
Prasanta S. Bandyopadhyay |
|
|
|
Part I Probability & Statistics |
|
|
|
Elementary Probability and Statistics: A Primer |
|
|
53 | (46) |
|
Prasanta S. Bandyopadhyay |
|
|
|
Part II Philosophical Controversies about Conditional Probability |
|
|
|
|
99 | (38) |
|
|
The Varieties of Conditional Probability |
|
|
137 | (16) |
|
|
Part III Four Paradigms of Statistics |
|
|
|
Classical Statistics Paradigm |
|
|
|
|
153 | (46) |
|
|
|
|
199 | (34) |
|
|
|
|
|
The Bayesian Decision-Theoretic Approach to Statistics |
|
|
233 | (30) |
|
|
Modern Bayesian Inference: Foundations and Objective Methods |
|
|
263 | (44) |
|
|
Evidential Probability and Objective Bayesian Epistemology |
|
|
307 | (26) |
|
|
|
|
333 | (58) |
|
|
Challenges to Bayesian Confirmation Theory |
|
|
391 | (50) |
|
|
Bayesianism as a Pure Logic of Inference |
|
|
441 | (32) |
|
|
Bayesian Inductive Logic, Verisimilitude, and Statistics |
|
|
473 | (20) |
|
|
|
|
Likelihood and its Evidential Framework |
|
|
493 | (20) |
|
|
Evidence, Evidence Functions, and Error Probabilities |
|
|
513 | (22) |
|
|
|
|
|
AIC Scores as Evidence --- a Bayesian Interpretation |
|
|
535 | (18) |
|
|
|
Part IV The Likelihood Principle |
|
|
|
|
553 | (30) |
|
|
Part V Recent Advances in Model Selection |
|
|
|
AIC, BIC and Recent Advances in Model Selection |
|
|
583 | (24) |
|
|
|
Posterior Model Probabilities |
|
|
607 | (26) |
|
|
Part VI Attempts to Understand Different Aspects of "Randomness" |
|
|
|
|
633 | (8) |
|
|
Mathematical Foundations of Randomness |
|
|
641 | (72) |
|
|
Part VII Probabilistic and Statistical Paradoxes |
|
|
|
|
713 | (24) |
|
|
Statistical Paradoxes: Take It to The Limit |
|
|
737 | (14) |
|
|
Part VIII Statistics and Inductive Inference |
|
|
|
Statistics as Inductive Inference |
|
|
751 | (26) |
|
|
Part IX Various Issues about Causal Inference |
|
|
|
Common Cause in Causal Inference |
|
|
777 | (36) |
|
|
The Logic and Philosophy of Causal Inference: A Statistical Perspective |
|
|
813 | (20) |
|
|
Part X Some Philosophical Issues Concerning Statistical Learning Theory |
|
|
|
Statistical Learning Theory as a Framework for the Philosophy of Induction |
|
|
833 | (16) |
|
|
|
Testability and Statistical Learning Theory |
|
|
849 | (16) |
|
|
Part XI Different Approaches to Simplicity Related to Inference and Truth |
|
|
|
Luckiness and Regret in Minimum Description Length Inference |
|
|
865 | (36) |
|
|
|
MML, Hybrid Bayesian Network Graphical Models, Statistical Consistency, Invariance and Uniqueness |
|
|
901 | (82) |
|
|
Simplicity, Truth and Probability |
|
|
983 | (44) |
|
|
Part XII Special Problems in Statistics/Computer Science |
|
|
|
|
1027 | (46) |
|
|
|
1073 | (26) |
|
|
|
Data, Data, Everywhere: Statistical Issues in Data Mining |
|
|
1099 | (22) |
|
|
Part XIII An Application of Statistics to Climate Change |
|
|
|
An Application of Statistics in Climate Change: Detection of Nonlinear Changes in a Streamflow Timing Measure in the Columbia and Missouri Headwaters |
|
|
1121 | (28) |
|
|
|
|
Part XIV Historical Approaches to Probability/Statistics |
|
|
|
The Subjective and the Objective |
|
|
1149 | (26) |
|
|
Probability in Ancient India |
|
|
1175 | (22) |
|
Index |
|
1197 | |