
Abstract This chapter provides an introduction to BBN experimental protocol, the experimental protocol for BBN, the characteristics of a random experiment, and the conduct a Bayesian experiment, which includes the following 11-Steps: a) Step 1: identify a population of interest, b) Step 2: slice through this population and identify at a minimum two mutually exclusive or disjoint (unconditional) events, which are the subsets of our population, c) Step 3: determine prior (a priori) or unconditional probabilities, d) Step 4: identify the conditional event and its subset of mutually exclusive or disjoint (unconditional) elements, e) Step 5: conduct the random experiment, f) Step 6: determine frequency counts, g) Step 7: determine likelihood/conditional probabilities (relative frequencies), h) Step 8: determine joint probabilities, i) Step 9: determine posterior probabilities, j) Step 10: draw a tree diagram, and k) Step 11: run a Netica replication.[1]
[1] See the Norsys Software Corp. website (Netica 2012).
Abstract This chapter highlights an example of a Bayesian Belief Network (BBN) in a manufacturing scenario by evaluating the variables of “Transistor Quality” and “Suppliers.” Here, quality control and costs have great utility in the company’s ability to make a profit, gain a competitive advantage, and maintain their reputation as an industry leader. It also provides the experimental protocol for conducting the BBN, which includes the following 11-Steps: a) Step 1: identify a population of interest, b) Step 2: slice through this population and identify at a minimum two mutually exclusive or disjoint (unconditional) events, which are the subsets of our population, c) Step 3: determine prior (a priori) or unconditional probabilities, d) Step 4: identify the conditional event and its subset of mutually exclusive or disjoint (unconditional) elements, e) Step 5: conduct the random experiment, f) Step 6: determine frequency counts, g) Step 7: determine likelihood/conditional probabilities (relative frequencies), h) Step 8: determine joint probabilities, i) Step 9: determine posterior probabilities, j) Step 10: draw a tree diagram, and k) Step 11: run a Netica replication. In addition, it provides a conclusion, which includes a discussion of posterior and inverse probabilities as they pertain to this scenario.
Abstract This chapter highlights an example of Bayesian Belief Network (BBN) in a national economic scenario by evaluating the variables of “County” and “Political Affiliation.” Here, the balance between Democrats and Republicans has great utility in a politician’s ability to determine her or his position in the political arena to maintain their reputation as a government servant. It also provides the experimental protocol for conducting the BBN, which includes the following 11-Steps: a) Step 1: identify a population of interest, b) Step 2: slice through this population and identify at a minimum two mutually exclusive or disjoint (unconditional) events, which are the subsets of our population, c) Step 3: determine prior (a priori) or unconditional probabilities, d) Step 4: identify the conditional event and its subset of mutually exclusive or disjoint (unconditional) elements, e) Step 5: conduct the random experiment, f) Step 6: determine frequency counts, g) Step 7: determine likelihood/conditional probabilities (relative frequencies), h) Step 8: determine joint probabilities, i) Step 9: determine posterior probabilities, j) Step 10: draw a tree diagram, and k) Step 11: run a Netica replication. In addition, it provides a conclusion, which includes a discussion of posterior and inverse probabilities as they pertain to this scenario.
Abstract This chapter highlights an example of Bayesian Belief Network (BBN) in a gaming scenario by evaluating the variables of “Die Randomness” and “Fair Die.” Here, the balance between winning and losing has great utility in a casino’s ability to remain profitable while hedging risk to maintain their reputation as a gaming establishment. It also provides the experimental protocol for conducting the BBN, which includes the following 11-Steps: a) Step 1: identify a population of interest, b) Step 2: slice through this population and identify at a minimum two mutually exclusive or disjoint (unconditional) events, which are the subsets of our population, c) Step 3: determine prior (a priori) or unconditional probabilities, d) Step 4: identify the conditional event and its subset of mutually exclusive or disjoint (unconditional) elements, e) Step 5: conduct the random experiment, f) Step 6: determine frequency counts, g) Step 7: determine likelihood/conditional probabilities (relative frequencies), h) Step 8: determine joint probabilities, i) Step 9: determine posterior probabilities, j) Step 10: draw a tree diagram, and k) Step 11: run a Netica replication. In addition, it provides a conclusion, which includes a discussion of posterior and inverse probabilities as they pertain to this scenario.
Abstract This chapter highlights an example of Bayesian Belief Network (BBN) in a national economic scenario by evaluating the variables of “Altman Z-Scores” and “Health Status.” Here, the balance between international company default and investments has great economic utility in a country’s ability to warn its international investors and to hedge global effects of default to maintain their reputation as a global financial leader. It also provides the experimental protocol for conducting the BBN, which includes the following 11-Steps: a) Step 1: identify a population of interest, b) Step 2: slice through this population and identify at a minimum two mutually exclusive or disjoint (unconditional) events, which are the subsets of our population, c) Step 3: determine prior (a priori) or unconditional probabilities, d) Step 4: identify the conditional event and its subset of mutually exclusive or disjoint (unconditional) elements, e) Step 5: conduct the random experiment, f) Step 6: determine frequency counts, g) Step 7: determine likelihood/conditional probabilities (relative frequencies), h) Step 8: determine joint probabilities, i) Step 9: determine posterior probabilities, j) Step 10: draw a tree diagram, and k) Step 11: run a Netica replication. In addition, it provides a conclusion, which includes a discussion of posterior and inverse probabilities as they pertain to this scenario.
Abstract This chapter highlights an example of Bayesian Belief Network (BBN) in an insurance scenario by evaluating the variables of “Risk Category” and “Fatality Status.” Here, the balance between risk and premiums have great economic utility in the company’s ability to make a profit, gain a competitive advantage, and maintain their reputation as an industry leader. It also provides the experimental protocol for conducting the BBN, which includes the following 11-Steps: a) Step 1: identify a population of interest, b) Step 2: slice through this population and identify at a minimum two mutually exclusive or disjoint (unconditional) events, which are the subsets of our population, c) Step 3: determine prior (a priori) or unconditional probabilities, d) Step 4: identify the conditional event and its subset of mutually exclusive or disjoint (unconditional) elements, e) Step 5: conduct the random experiment, f) Step 6: determine frequency counts, g) Step 7: determine likelihood/conditional probabilities (relative frequencies), h) Step 8: determine joint probabilities, i) Step 9: determine posterior probabilities, j) Step 10: draw a tree diagram, and k) Step 11: run a Netica replication. In addition, it provides a conclusion, which includes a discussion of posterior and inverse probabilities as they pertain to this scenario.
Abstract This chapter highlights an example of Bayesian Belief Network (BBN) in a potential hostile scenario by evaluating the variables of “Country” and “Fatality Status.” Here, citizen safety has great economic utility in a person’s ability to maintain safety while living and traveling abroad in countries with terrorist cells who desire to launch their economic and political agenda on innocent citizens. It also provides the experimental protocol for conducting the BBN, which includes the following 11-Steps: a) Step 1: identify a population of interest, b) Step 2: slice through this population and identify at a minimum two mutually exclusive or disjoint (unconditional) events, which are the subsets of our population, c) Step 3: determine prior (a priori) or unconditional probabilities, d) Step 4: identify the conditional event and its subset of mutually exclusive or disjoint (unconditional) elements, e) Step 5: conduct the random experiment, f) Step 6: determine frequency counts, g) Step 7: determine likelihood/conditional probabilities (relative frequencies), h) Step 8: determine joint probabilities, i) Step 9: determine posterior probabilities, j) Step 10: draw a tree diagram, and k) Step 11: run a Netica replication. In addition, it provides a conclusion, which includes a discussion of posterior and inverse probabilities as they pertain to this scenario.
Grover Group, Inc. (GGI), offers this course so that learners can use inductive logic when making business decisions that effect an organizations economic outcomes. We base this course on our primer, "A Manual for Strategic Economic Decision-Making: Using Bayesian Belief Networks to make Complex Decisions (2016)," which is an extension of "Strategic Economic Decision-Making: Using Bayesian Belief Networks to make Complex Decisions (Springer, 2013). This course is a thorough investigation on Bayesian belief networks (BBN), where we will provide the learner with the underlying principles associated with Bayes' theorem and its application to BBN.
The value of BBNs is that they take an initial guess of probability likelihoods and filter them through observable information to predict future states of nature in the form of posterior probabilities. This course is meant for learners that are non-statisticians and will complement those that have a basic understanding of statistics and Bayes' theorem. During this course, we will walk the learner through the modeling and application of BBN using real-world applications. We will do this by introducing the learner to the underlying principles of discrete mathematics using set theory and discrete axioms of probability, These underlying concepts include counting and subsequent calculation of prior, marginal, likelihood, joint, and finally posterior probabilities.
At the end of the course, the learner will replicate 10 BBNs based on real world problems in the area of economics. We will explain the requirements of fitting a Bayes' model in this course. Upon course completion, the learner can mathematically determine posterior probabilities. These posteriors will represent the initial guess of the investigator.
Very little has been published in the area of discrete Bayes' theory, and this course will appeal to both non-statisticians with little to no knowledge of BBN and statisticians currently conducting research in the fields of engineering, computing, life sciences, and social sciences.