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Statistical Properties of Bayes’ Theorem

In: The Manual of Strategic Economic Decision Making

Author

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  • Jeff Grover

    (Grover Group, Inc.)

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.

Suggested Citation

  • Jeff Grover, 2016. "Statistical Properties of Bayes’ Theorem," Springer Books, in: The Manual of Strategic Economic Decision Making, chapter 0, pages 37-57, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-48414-3_3
    DOI: 10.1007/978-3-319-48414-3_3
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