| dbo:abstract |
A probability box (or p-box) is a characterization of uncertain numbers consisting of both aleatoric and epistemic uncertainties that is often used in risk analysis or quantitative uncertainty modeling where numerical calculations must be performed. Probability bounds analysis is used to make arithmetic and logical calculations with p-boxes. An example p-box is shown in the figure at right for an uncertain number x consisting of a left (upper) bound and a right (lower) bound on the probability distribution for x. The bounds are coincident for values of x below 0 and above 24. The bounds may have almost any shape, including step functions, so long as they are monotonically increasing and do not cross each other. A p-box is used to express simultaneously incertitude (epistemic uncertainty), which is represented by the breadth between the left and right edges of the p-box, and variability (aleatory uncertainty), which is represented by the overall slant of the p-box. (en) |
| dbo:thumbnail |
wiki-commons:Special:FilePath/500.png?width=300 |
| dbo:wikiPageExternalLink |
http://savannah.gatech.edu/workshop/rec08/documents/REC08_Paper_Bernardini.pdf http://www.univ-orleans.fr/mapmo/membres/baudrit/csda06.pdf http://www.univ-orleans.fr/mapmo/membres/baudrit/ieee06.pdf https://archive.today/20130202224101/http:/www.sciencedirect.com/science%3F_ob=ArticleURL&_udi=B6V07-4T2M5W9-1&_user=10&_coverDate=11/30/2008&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_rerunOrigin=scholar.google&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=5e765b0819db1b4f43f21cd7e90fe509&searchtype=a https://web.archive.org/web/20110911141406/http:/www.caee.utexas.edu/prof/tonon/Publications/Papers/Paper%20P%202008-02%20Extreme%20probability%20distributions%20of.pdf https://web.archive.org/web/20120311172706/http:/www.brgm.fr/publication/pubDetailRapportSP.jsp%3Fid=RSP-BRGM%2FRP-54099-FR |
| dbo:wikiPageID |
31320115 (xsd:integer) |
| dbo:wikiPageLength |
34067 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
1065158930 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Probability_distribution dbr:Method_of_moments_(statistics) dbr:Lévy_metric dbr:Copula_(statistics) dbr:Dennis_Lindley dbc:Probability_bounds_analysis dbr:Upper_and_lower_bounds dbr:Variance dbr:Confidence_interval dbr:Mean dbr:Empirical_distribution_function dbr:Confidence_distribution dbr:Credal_set dbr:Credible_interval dbr:Dempster–Shafer_theory dbr:Probability_bounds_analysis dbr:Student's_t-distribution dbr:Measurement_uncertainty dbc:Numerical_analysis dbr:Cumulative_distribution_function dbr:Expected_value dbr:Numerical_analysis dbr:Kolmogorov–Smirnov_test dbr:Possibility_theory dbr:Posterior_probability dbr:Probability_theory dbr:Random_variable dbr:Risk_analysis dbr:Heaviside_step_function dbr:Interval_(mathematics) dbr:Chebyshev's_inequality dbr:Bootstrapping dbc:Risk_analysis_methodologies dbr:Integer dbr:Kolmogorov dbr:Real_number dbr:Markov's_inequality dbr:Maximum_likelihood dbr:Uncertainty dbr:Uncertainty_quantification dbr:Wasserstein_metric dbr:Survival_function dbr:Imprecise_Dirichlet_process dbr:Imprecise_probability dbr:List_of_uncertainty_propagation_software dbr:Event_(probability_theory) dbr:Upper_and_lower_probabilities dbr:Unimodality dbr:Subset dbr:Unimodal dbr:Riemann–Stieltjes_integral dbr:Robust_Bayes_analysis dbr:Distribution-free dbr:Confidence_band dbr:Uncertainty_propagation dbr:Bayesian_model_average dbr:Distribution_band dbr:File:Continuous_p-box_gamma(2,interval(2,4)),steps=500.png dbr:Stochastic_mixture dbr:Uncertain_number |
| dbp:alt |
P-box with dotted lines showing interval 95th percentile (en) p-box with dotted lines showing probability interval associated with an x-value (en) |
| dbp:caption |
95 (xsd:integer) Probability that x is 2.5 or less is between 4% and 36% (en) |
| dbp:direction |
vertical (en) |
| dbp:footer |
Dual interpretation of p-boxes (en) |
| dbp:image |
Continuous p-box showing interval probability interval that x is 2.5 or less.png (en) Continuous p-box showning interval 95th percentile interval.png (en) |
| dbp:width |
160 (xsd:integer) |
| dbp:wikiPageUsesTemplate |
dbt:! dbt:= dbt:Doi dbt:Math dbt:Multiple_image dbt:Mvar dbt:Other_uses_of dbt:Reflist dbt:Short_description dbt:Overbar |
| dct:subject |
dbc:Probability_bounds_analysis dbc:Numerical_analysis dbc:Risk_analysis_methodologies |
| gold:hypernym |
dbr:Characterization |
| rdfs:comment |
A probability box (or p-box) is a characterization of uncertain numbers consisting of both aleatoric and epistemic uncertainties that is often used in risk analysis or quantitative uncertainty modeling where numerical calculations must be performed. Probability bounds analysis is used to make arithmetic and logical calculations with p-boxes. (en) |
| rdfs:label |
Probability box (en) |
| owl:sameAs |
freebase:Probability box yago-res:Probability box wikidata:Probability box https://global.dbpedia.org/id/4tdHR |
| prov:wasDerivedFrom |
wikipedia-en:Probability_box?oldid=1065158930&ns=0 |
| foaf:depiction |
wiki-commons:Special:FilePath/500.png wiki-commons:Special:FilePath/Continuous_p-box_show...(0.4,_0.36)_that_x_is_2.5_or_less.png wiki-commons:Special:FilePath/Continuous_p-box_show...al_95th_percentile_interval(9,16).png |
| foaf:isPrimaryTopicOf |
wikipedia-en:Probability_box |
| is dbo:knownFor of |
dbr:Scott_Ferson_(professor) |
| is dbo:wikiPageRedirects of |
dbr:P-bounds dbr:Pbox |
| is dbo:wikiPageWikiLink of |
dbr:Applications_of_p-boxes_and_probability_bounds_analysis dbr:List_of_probability_topics dbr:Credal_set dbr:Probability_bounds_analysis dbr:Measurement_uncertainty dbr:Line_sampling dbr:Scott_Ferson_(professor) dbr:Imprecise_probability dbr:List_of_statistics_articles dbr:Robust_Bayesian_analysis dbr:P-box dbr:P-bounds dbr:Pbox |
| is dbp:knownFor of |
dbr:Scott_Ferson_(professor) |
| is foaf:primaryTopic of |
wikipedia-en:Probability_box |
