A Literature Review of Bayes’ Theorem and Bayesian Belief Networks (BBN)

This chapter provides an introduction to the Bayes’ theorem evolution to include: (a) the early 1900s, (b) 1920–1930s, (c) 1940–1950s, and (d) 1960s–Mid 1980s, a review of the BBN evolution to include: (a) financial economics, accounting, and operational risks, (b) safety, accident analysis, and prevention, (c) engineering and safety risk analysis, (d) ecology, (e) human behavior, (f) behavioral sciences and marketing, (g) decision support systems with expert systems and applications, information sciences, intelligent data analysis, neuroimaging, environmental modeling and software, and industrial ergonomics, (h) cognitive science, (i) medical, health, dental, and nursing, (j) environmental studies, and (k) miscellaneous—politics, geriatrics, space policy, and language and speech, and a review of current government and commercial users of BBN.

[1]  Y. Heuzé,et al.  Application of non-adult Bayesian dental age assessment methods to skeletal remains: the Spitalfields collection , 2008 .

[2]  S. Galea,et al.  Spatial proximity and the risk of psychopathology after a terrorist attack , 2010, Psychiatry Research.

[3]  Greg M. Allenby Modeling marketplace behavior , 2012 .

[4]  Gregory Schraw,et al.  Conceptions of Efficiency: Applications in Learning and Problem Solving , 2010 .

[5]  Grant G Schultz,et al.  Analyzing Raised Median Safety Impacts Using Bayesian Methods , 2011 .

[6]  Harry J. P. Timmermans,et al.  Modelling land-use decisions under conditions of uncertainty , 2007, Comput. Environ. Urban Syst..

[7]  Terry Walshe,et al.  A Framework for Assessing and Managing Risks Posed by Emerging Diseases , 2010, Risk analysis : an official publication of the Society for Risk Analysis.

[8]  Mortalité infantile, défaveur et proximité aux industries polluantes : une analyse spatiale conduite à fine échelle (agglomération de Lille, France) , 2011 .

[9]  Eric W. Ford,et al.  Assessing Differences Between Physicians’ Realized and Anticipated Gains from Electronic Health Record Adoption , 2011, Journal of Medical Systems.

[10]  P. K. Marhavilas,et al.  Risk analysis and assessment methodologies in the work sites: On a review, classification and comparative study of the scientific literature of the period 2000–2009 , 2011 .

[11]  Tim Grant,et al.  Quantifying evidence in forensic authorship analysis , 2007 .

[12]  ALTERNATE SCALING PARAMETER FUNCTIONS IN A HIERARCHICAL BAYES MODEL OF U.S. COUNTY POVERTY RATES , 2000 .

[13]  W. Towers,et al.  Risk of erosion in peat soils – an investigation using Bayesian belief networks , 2011 .

[14]  Monique Frize,et al.  Does Bayes have it? Decision support systems in diagnostic medicine , 2009 .

[15]  E. L. Lehmann,et al.  Neyman’s Statistical Philosophy , 2012 .

[16]  Morteza Dehghani,et al.  Causal Explanation and Fact Mutability in Counterfactual Reasoning , 2012 .

[17]  Christopher R. Fisher,et al.  Assessing semantic coherence in conditional probability estimates , 2011, Behavior research methods.

[18]  S. Fienberg Bayesian Models and Methods in Public Policy and Government Settings , 2011, 1108.2177.

[19]  J. Milgrom,et al.  Does postnatal depression screening work? Throwing out the bathwater, keeping the baby. , 2011, Journal of affective disorders.

[20]  John G. Bullock Partisan Bias and the Bayesian Ideal in the Study of Public Opinion , 2009, The Journal of Politics.

[21]  B. D. Mast Comparing Public Housing and Housing Voucher Tenants with Bayesian Propensity Scores , 2012 .

[22]  Manish Verma Railroad transportation of dangerous goods: A conditional exposure approach to minimize transport risk , 2011 .

[23]  A. Newton,et al.  Use of a Bayesian Belief Network to Predict the Impacts of Commercializing Non-timber Forest Products on Livelihoods , 2006 .

[24]  C. Muntaner,et al.  Socioeconomic inequalities in mortality in Barcelona: a study based on census tracts (MEDEA Project). , 2009, Health & place.

[25]  Robert J. Lilieholm,et al.  Using Bayesian belief networks to identify potential compatibilities and conflicts between development and landscape conservation , 2011 .

[26]  Laura Painton Swiler,et al.  Bayesian Methods in Engineering Design Problems , 2006 .

[27]  T. Donaldson,et al.  A Mathematical Proof and Example That Bayes's Theorem Is Fundamental to Actuarial Estimates of Sexual Recidivism Risk , 2008, Sexual abuse : a journal of research and treatment.

[28]  Amir Hussain,et al.  Novel logistic regression models to aid the diagnosis of dementia , 2012, Expert Syst. Appl..

[29]  Norman Fenton,et al.  Using Bayesian belief networks to predict the reliability of military vehicles , 2001 .

[30]  Shie Mannor,et al.  Regret minimization in repeated matrix games with variable stage duration , 2008, Games Econ. Behav..

[31]  K. Fabiańczyk Decision making on ambiguous stimuli such as prosody by subjects suffering from paranoid schizophrenia, alcohol dependence, and without psychiatric diagnosis. , 2011, The British journal of mathematical and statistical psychology.

[32]  Carrie N. Hoff,et al.  Effects of osteoporosis on AIS 3+ injury risk in motor-vehicle crashes. , 2010, Accident; analysis and prevention.

[33]  David Corney Designing Food with Bayesian Belief Networks , 2000 .

[34]  Y. Ilker Topcu,et al.  Applying Bayesian Belief Network approach to customer churn analysis: A case study on the telecom industry of Turkey , 2011, Expert Syst. Appl..

[35]  Chun-Nan Lin,et al.  Predicting tourism loyalty using an integrated Bayesian network mechanism , 2009, Expert Syst. Appl..

[36]  Ewald Moser,et al.  Multi-subject analyses with dynamic causal modeling , 2010, NeuroImage.

[37]  V. Saravanan,et al.  Negotiating participatory irrigation management in the Indian Himalayas , 2010 .

[38]  D. Laming Ordinary people do not ignore base rates , 2007 .

[39]  S. Boo,et al.  Coronary heart disease risk estimation in asymptomatic adults. , 2012, Nursing research.

[40]  Päivi Elisabet Haapasaari,et al.  Integration of biological, economic, and sociological knowledge by Bayesian belief networks: the interdisciplinary evaluation of potential management plans for Baltic salmon , 2011 .

[41]  Adrian E. Raftery,et al.  Assessing Uncertainty in Urban Simulations Using Bayesian Melding , 2007 .

[42]  B. D. Mast Measuring Neighborhood Quality with Survey Data: A Bayesian Approach , 2010 .

[43]  Jörg Berkenhagen,et al.  Integrated modelling tools to support risk-based decision-making in marine spatial management , 2011 .

[44]  Davy Janssens,et al.  An interactive computer-based interface to support the discovery of individuals' mental representations and preferences in decisions problems: An application to travel behavior , 2011, Comput. Hum. Behav..

[45]  John Quigley,et al.  Modelling the reliability of search and rescue operations with Bayesian Belief Networks , 2008, Reliab. Eng. Syst. Saf..

[46]  Zahra Mohaghegh,et al.  Incorporating organizational factors into Probabilistic Risk Assessment (PRA) of complex socio-technical systems: A hybrid technique formalization , 2009, Reliab. Eng. Syst. Saf..

[47]  Paul Damien,et al.  A multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods. , 2008, Accident; analysis and prevention.

[48]  R. Lilieholm,et al.  Impact of Demographic Trends on Future Development Patterns and the Loss of Open Space in the California Mojave Desert , 2012, Environmental Management.

[49]  Stephen E. Fienberg,et al.  The Early Statistical Years: 1947–1967. A Conversation with Howard Raiffa , 2008, 0808.0781.

[50]  Mahmoud R Haddara,et al.  The Development of Posterior Probability Models in Risk‐Based Integrity Modeling , 2010, Risk analysis : an official publication of the Society for Risk Analysis.

[51]  Alistair G. Sutcliffe,et al.  A socio-technical approach to business process simulation , 2008, Decis. Support Syst..

[52]  Javier Taboada,et al.  A Bayesian network analysis of workplace accidents caused by falls from a height , 2009 .

[53]  J H Smid,et al.  A Practical Framework for the Construction of a Biotracing Model: Application to Salmonella in the Pork Slaughter Chain , 2011, Risk analysis : an official publication of the Society for Risk Analysis.

[54]  Paul R. Cohen,et al.  Discovering Dynamics Using Bayesian Clustering , 1999, IDA.

[55]  Barry J. Adams,et al.  Methodology for Bayesian Belief Network Development to Facilitate Compliance with Water Quality Regulations , 2010 .

[56]  Byron Gajewski,et al.  Bayesian Data Analysis: Estimating the Efficacy of T'ai Chi as a Case Study , 2008, Nursing research.

[57]  John Bromley,et al.  The Use of Participatory Object-Oriented Bayesian Networks and Agro-Economic Models for Groundwater Management in Spain , 2011 .

[58]  Jian-Bo Yang,et al.  A methodology to generate a belief rule base for customer perception risk analysis in new product development , 2011, Expert Syst. Appl..

[59]  Stephen O. Ogunlana,et al.  Quantifying schedule risk in construction projects using Bayesian belief networks , 2009 .

[60]  Pablo García Bringas Intensive Use of Bayesian Belief Networks for the Unified, Flexible and Adaptable Analysis of Misuses and Anomalies in Network Intrusion Detection and Prevention Systems , 2007 .

[61]  N. Chater,et al.  Précis of Bayesian Rationality: The Probabilistic Approach to Human Reasoning , 2009, Behavioral and Brain Sciences.

[62]  Adam J. L. Harris,et al.  Bayesian rationality in evaluating multiple testimonies: incorporating the role of coherence. , 2009, Journal of experimental psychology. Learning, memory, and cognition.

[63]  Ken E. Giller,et al.  Application of Fuzzy Cognitive Mapping in Livelihood Vulnerability Analysis , 2011 .

[64]  R. J. Staker Use of Bayesian belief networks in the analysis of information system network risk , 1999, 1999 Information, Decision and Control. Data and Information Fusion Symposium, Signal Processing and Communications Symposium and Decision and Control Symposium. Proceedings (Cat. No.99EX251).

[65]  S. Galea,et al.  Bayesian Hierarchical Spatial Modeling of Substance Abuse Patterns Following a Mass Trauma: The Role of Time and Place , 2009, Substance use & misuse.

[66]  D. Chambers,et al.  An investigation of dentists' and dental students' estimates of diagnostic probabilities. , 2010, Journal of the American Dental Association.

[67]  Robert Daland,et al.  Learning Diphone-Based Segmentation , 2011, Cogn. Sci..

[68]  K. Kypri,et al.  Bayes' Theorem to estimate population prevalence from Alcohol Use Disorders Identification Test (AUDIT) scores , 2009, Addiction.

[69]  Gernot D. Kleiter Implications of natural sampling in base-rate tasks , 2007 .

[70]  Ivor Grattan-Guinness,et al.  Landmark writings in western mathematics, 1640-1940 , 2005 .

[71]  Olli Varis,et al.  A Belief Network Approach to Optimization and Parameter Estimation: Application to Resource and Environmental Management , 1998, Artif. Intell..

[72]  Sean Tucker,et al.  INDIVIDUAL SAFETY AND HEALTH OUTCOMES IN THE CONSTRUCTION INDUSTRY , 2008 .

[73]  Moinul Hossain,et al.  A Bayesian network based framework for real-time crash prediction on the basic freeway segments of urban expressways. , 2012, Accident; analysis and prevention.

[74]  Kyung Jae Lee,et al.  Bayesian belief network for box-office performance: A case study on Korean movies , 2009, Expert Syst. Appl..

[75]  Ron Goeree,et al.  Handling uncertainty in economic evaluations of patient level data: A review of the use of Bayesian methods to inform health technology assessments , 2009, International Journal of Technology Assessment in Health Care.

[76]  Lothar Simon,et al.  An illustration of Bayes' theorem and its use as a decision‐making aid for competitive intelligence and marketing analysts , 2008 .

[77]  Alistair G. Sutcliffe,et al.  Workload prediction for improved design and reliability of complex systems , 2008, Reliab. Eng. Syst. Saf..

[78]  Luka Jalen,et al.  Valuation of contingent claims with mortality and interest rate risks , 2009, Math. Comput. Model..

[79]  Charles DiMaggio,et al.  Roadway characteristics and pediatric pedestrian injury. , 2012, Epidemiologic reviews.

[80]  J. Devore,et al.  An Evaluation of Feral Cat Management Options Using a Decision Analysis Network , 2010 .

[81]  S. Rahman Reliability Engineering and System Safety , 2011 .

[82]  Investigating Endogeneity Bias in Marketing , 2006 .

[83]  J. Christensen,et al.  Accounting Errors and Errors of Accounting , 2010 .

[84]  Antoni Calvó-Armengol,et al.  Information Gathering in Organizations: Equilibrium, Welfare, and Optimal Network Structure , 2009 .

[85]  Athanasios V. Vasilakos,et al.  Affectively intelligent and adaptive car interfaces , 2010, Inf. Sci..

[86]  Anthony J. Jakeman,et al.  An integrated approach to linking economic valuation and catchment modelling , 2011, Environ. Model. Softw..

[87]  Giulia Bruno,et al.  Anomaly Detection in XML databases by means of Association Rules , 2007 .

[88]  Panos Louvieris,et al.  Assessing critical success factors for military decision support , 2010, Expert Syst. Appl..

[89]  W. Grove,et al.  An exploration of the base rate scores of the Millon Clinical Multiaxial Inventory-III. , 2009, Psychological assessment.

[90]  Ben Linders Building Process Improvement Business Cases Using Bayesian Belief Networks and Monte Carlo Simulation , 2009 .

[91]  Yannis Manolopoulos,et al.  Data Mining techniques for the detection of fraudulent financial statements , 2007, Expert Syst. Appl..

[92]  A. Newton,et al.  Toward integrated analysis of human impacts on forest biodiversity: lessons from Latin America. , 2009 .

[93]  Molly K. Macauley,et al.  The value of information: ‘Methodological Frontiers and New Applications for Realizing Social Benefit’ workshop , 2010 .

[94]  M. Remmenga,et al.  Combining surveillance and expert evidence of viral hemorrhagic septicemia freedom: a decision science approach. , 2010, Preventive veterinary medicine.

[95]  Ockie J. H. Bosch,et al.  Adaptive management: making it happen through participatory systems analysis , 2008 .

[96]  S. Scarlata,et al.  Accuracy of Spirometry in Diagnosing Pulmonary Restriction in Elderly People , 2009, Journal of the American Geriatrics Society.

[97]  Niraj S. Desai,et al.  Activity-dependent scaling of quantal amplitude in neocortical neurons , 1998, Nature.

[98]  M. Neil,et al.  Modeling operational risk in financial institutions using hybrid dynamic Bayesian networks , 2009 .

[99]  Jukka Ranta,et al.  Bayesian temporal source attribution of foodborne zoonoses: Campylobacter in Finland and Norway. , 2011, Risk analysis : an official publication of the Society for Risk Analysis.

[100]  Michiel Blind,et al.  Perceived effectiveness of environmental decision support systems in participatory planning: Evidence from small groups of end-users , 2011, Environ. Model. Softw..

[101]  Ivo Schneider,et al.  Abraham de Moivre, The doctrine of chances (1718, 1738, 1756) , 2005 .

[102]  Edson Zangiacomi Martinez,et al.  Modelagem Bayesiana do risco de infecção tuberculosa para estudos com perdas de seguimento , 2008 .

[103]  T. Arentze,et al.  Longitudinal Model of Longer-Term Mobility Decisions: Framework and First Empirical Tests , 2011 .

[104]  Panos Louvieris,et al.  Human-Centered Safety Analysis of Prospective Road Designs , 2010, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[105]  John Bromley,et al.  Research, part of a Special Feature on Implementing Participatory Water Management: Recent Advances in Theory, Practice and Evaluation Evaluation of Bayesian Networks in Participatory Water Resources Management, Upper Guadiana Basin, Spain , 2010 .

[106]  T. Arentze,et al.  Modeling and Measuring Individuals' Mental Representations of Complex Spatio-Temporal Decision Problems , 2008 .

[107]  Douglas Gale,et al.  Bayesian learning in social networks , 2003, Games Econ. Behav..

[108]  Xiang Fei,et al.  A Methodology for Assessing Transportation Network Terrorism Risk with Attacker and Defender Interactions , 2010, Comput. Aided Civ. Infrastructure Eng..

[109]  M. Elliott,et al.  A new method for estimating race/ethnicity and associated disparities where administrative records lack self-reported race/ethnicity. , 2008, Health services research.

[110]  J. Achcar,et al.  [Bayesian model for the risk of tuberculosis infection for studies with individuals lost to follow-up]. , 2008, Revista de saude publica.

[111]  David J. Hand,et al.  Advances in Intelligent Data Analysis , 2000, Lecture Notes in Computer Science.

[112]  Arnold Zellner,et al.  Information processing and Bayesian analysis , 2002 .

[113]  J. David Allan,et al.  Investigating the relationships between environmental stressors and stream condition using Bayesian belief networks , 2012 .

[114]  J. T. McClain,et al.  Using a text analysis and categorization tool to generate Bayesian belief networks for use in cognitive social simulation from a document corpus , 2011, SpringSim.

[115]  Mohammed Bennamoun,et al.  A probabilistic framework for automatic term recognition , 2009, Intell. Data Anal..

[116]  The role of externalities and information aggregation in market collapse , 2008 .

[117]  Yong Hu,et al.  The application of data mining techniques in financial fraud detection: A classification framework and an academic review of literature , 2011, Decis. Support Syst..

[118]  G M Hood,et al.  Alternative Methods for Computing the Sensitivity of Complex Surveillance Systems , 2009, Risk analysis : an official publication of the Society for Risk Analysis.

[119]  Mitchell J Small,et al.  Methods for Assessing Uncertainty in Fundamental Assumptions and Associated Models for Cancer Risk Assessment , 2008, Risk analysis : an official publication of the Society for Risk Analysis.

[120]  Enrique López Droguett,et al.  Bayesian Methodology for Model Uncertainty Using Model Performance Data , 2008, Risk analysis : an official publication of the Society for Risk Analysis.

[121]  Nathaniel G. Plant,et al.  A Bayesian network to predict vulnerability to sea-level rise: data report , 2011 .

[122]  Sharon Bertsch McGrayne,et al.  The Theory That Would Not Die: How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of Controversy , 2011 .

[123]  R. Wollert Poor diagnostic reliability, the Null-Bayes Logic Model, and their implications for sexually violent predator evaluations. , 2007 .

[124]  W. Johnson,et al.  Using evidence to determine diagnostic test efficacy. , 2009, Worldviews on evidence-based nursing.