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[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/en\/wiki12\/stochastic-ordering-wikipedia\/#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/en\/wiki12\/stochastic-ordering-wikipedia\/","headline":"Stochastic ordering – Wikipedia","name":"Stochastic ordering – Wikipedia","description":"In probability theory and statistics, a stochastic order quantifies the concept of one random variable being “bigger” than another. These","datePublished":"2014-05-19","dateModified":"2014-05-19","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/en\/wiki12\/author\/lordneo\/#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/en\/wiki12\/author\/lordneo\/","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/7daff47fa58cdfd29dc333def748ff5fa4c923e3","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/7daff47fa58cdfd29dc333def748ff5fa4c923e3","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/en\/wiki12\/stochastic-ordering-wikipedia\/","wordCount":16422,"articleBody":"In probability theory and statistics, a stochastic order quantifies the concept of one random variable being “bigger” than another. These are usually partial orders, so that one random variable A{displaystyle A} may be neither stochastically greater than, less than nor equal to another random variable B{displaystyle B}. Many different orders exist, which have different applications. Table of ContentsUsual stochastic order[edit]Characterizations[edit]Other properties[edit]Stochastic dominance[edit]Multivariate stochastic order[edit]Other dominance orders[edit]Other stochastic orders[edit]Hazard rate order[edit]Likelihood ratio order[edit]Variability orders[edit]Convex order[edit]Laplace transform order[edit]Realizable monotonicity[edit]See also[edit]References[edit]Bibliography[edit]Usual stochastic order[edit]A real random variable A{displaystyle A} is less than a random variable B{displaystyle B} in the “usual stochastic order” if "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/en\/wiki12\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/en\/wiki12\/stochastic-ordering-wikipedia\/#breadcrumbitem","name":"Stochastic ordering – Wikipedia"}}]}]