Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction Engineering
Bayesian methods stem from the principle of linking prior probability and conditional probability (likelihood) to posterior probability via Bayes' rule. The posterior probability is an updated (improved) version of the prior probability of an event, through the likelihood of finding empirical e...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Electrochemistry |
| Online Access: | http://dx.doi.org/10.4061/2011/404605 |
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| _version_ | 1832548567469785088 |
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| author | Thomas Z. Fahidy |
| author_facet | Thomas Z. Fahidy |
| author_sort | Thomas Z. Fahidy |
| collection | DOAJ |
| description | Bayesian methods stem from the principle of linking prior probability and conditional probability (likelihood) to posterior probability via Bayes' rule. The posterior probability is an updated (improved) version of the prior probability of an event, through the likelihood of finding empirical evidence if the underlying assumptions (hypothesis) are valid. In the absence of a frequency distribution for the prior probability, Bayesian methods have been found more satisfactory than distribution-based techniques. The paper illustrates the utility of Bayes' rule in the analysis of electrocatalytic reactor performance by means of four numerical examples involving a catalytic oxygen cathode, hydrogen evolution on a synthetic metal, the reliability of a device testing the quality of an electrocatalyst, and the range of Tafel slopes exhibited by an electrocatalyst. |
| format | Article |
| id | doaj-art-c007c50c60d44905ad97f102a240c207 |
| institution | Kabale University |
| issn | 2090-3537 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Electrochemistry |
| spelling | doaj-art-c007c50c60d44905ad97f102a240c2072025-02-03T06:13:44ZengWileyInternational Journal of Electrochemistry2090-35372011-01-01201110.4061/2011/404605404605Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction EngineeringThomas Z. Fahidy0Chemical Engineering Department, University of Waterloo, 200 University Avenue West, Waterloo, ON, N2L 3G1, CanadaBayesian methods stem from the principle of linking prior probability and conditional probability (likelihood) to posterior probability via Bayes' rule. The posterior probability is an updated (improved) version of the prior probability of an event, through the likelihood of finding empirical evidence if the underlying assumptions (hypothesis) are valid. In the absence of a frequency distribution for the prior probability, Bayesian methods have been found more satisfactory than distribution-based techniques. The paper illustrates the utility of Bayes' rule in the analysis of electrocatalytic reactor performance by means of four numerical examples involving a catalytic oxygen cathode, hydrogen evolution on a synthetic metal, the reliability of a device testing the quality of an electrocatalyst, and the range of Tafel slopes exhibited by an electrocatalyst.http://dx.doi.org/10.4061/2011/404605 |
| spellingShingle | Thomas Z. Fahidy Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction Engineering International Journal of Electrochemistry |
| title | Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction Engineering |
| title_full | Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction Engineering |
| title_fullStr | Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction Engineering |
| title_full_unstemmed | Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction Engineering |
| title_short | Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction Engineering |
| title_sort | some applications of bayes rule in probability theory to electrocatalytic reaction engineering |
| url | http://dx.doi.org/10.4061/2011/404605 |
| work_keys_str_mv | AT thomaszfahidy someapplicationsofbayesruleinprobabilitytheorytoelectrocatalyticreactionengineering |