Statistical Properties of Bayes’ Theorem

Jeff Grover
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Jeff Grover: Grover Group, Inc.

Chapter Chapter 3 in The Manual of Strategic Economic Decision Making, 2016, pp 37-57 from Springer

Abstract: Abstract This chapter provides definitions of the statistical properties of Bayes Theorem and Bayesian Belief Network (BBN). These areas include: (1) Axioms of Probability, (2) Base-Rate Fallacy, (3) Bayes Theorem probabilities, (4) Joint and Disjoint BBN Structures, (5) Bayesian Updating, (6) Certain Event, (7) Categorical Variable, (8) Chain (Product) Rule, (9) Collectively Exhaustive, (10) Combinations and Permutations, (11) Complement and Complement Rule, (12) Conditional and Unconditional Probability, (13) Counting and Countable Set and Uncountable Set, (14) Complement and Complement Rule, (15) Discrete Variable, (16) Disjoint or Mutually Exclusive Events (Sets), (17) Event, (18) Factorial, (19) Intersection and Union (of Sets), (20) Independence and Pairwise Independence, (21) Joint and Marginal Probability Distribution and Marginalization, (22) Law of Total Probability, (23) Mean (Arithmetic Mean), (24) Ordinal Variable, (25) Outcome (Outcome Space), (26) Parameter, (27) Partition, (28) Population, (29) Probability and Probability Sample, (30) Sample, Sample Size, Sample Space, Random Sample, Simple Random Sample, Random Experiment (Event), and Random Variable, (31) Real Number, (32) Set, Subset, Member of a Set, and Empty Set, (33) Theories of Probability, (34) Unit, (35) Venn Diagram, (36) The Algebra of Sets, and (37) Zero Sum Marginal Difference.

Keywords: Complement Rule; Outcome Space; BBN Structures; Unconditional Probability; Random Experiment (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-48414-3_3

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DOI: 10.1007/978-3-319-48414-3_3

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