{"id":17,"date":"2000-09-15T00:00:20","date_gmt":"2000-09-15T07:00:20","guid":{"rendered":"http:\/\/www.mii.ucla.edu\/causality\/?p=13"},"modified":"2000-09-15T00:00:20","modified_gmt":"2000-09-15T07:00:20","slug":"reciprocal-links-in-structural-equations","status":"publish","type":"post","link":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/2000\/09\/15\/reciprocal-links-in-structural-equations\/","title":{"rendered":"Reciprocal links in structural equations"},"content":{"rendered":"<p><font><strong>From Dennis Lindley&nbsp; <\/strong><br \/> <\/font><\/p>\n<p><font>Equations (1.42) and (1.43) and the general issue of  description by equations, still perplex me.  It is  incoherent to state both <em>p<\/em>(<em>x<\/em>|<em>y<\/em>) and  <em>p<\/em>(<em>y<\/em>|<em>x<\/em>).  (Try it  with <em>x<\/em> and <em>y<\/em> binary, when these statements describe 4  values, whereas we know only 3 are needed for the joint  distribution of <em>x<\/em> and <em>y<\/em>.)  There are special cases,  as with normal, linear regression, where the  coherence is avoided.  Generally I do not see how there  can be two links between <em>x<\/em> and <em>y<\/em>. <\/font><\/p>\n","protected":false},"excerpt":{"rendered":"<p>From Dennis Lindley&nbsp; Equations (1.42) and (1.43) and the general issue of description by equations, still perplex me. It is incoherent to state both p(x|y) and p(y|x). (Try it with x and y binary, when these statements describe 4 values, whereas we know only 3 are needed for the joint distribution of x and y.) [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37],"tags":[],"class_list":["post-17","post","type-post","status-publish","format-standard","hentry","category-structural-equations"],"_links":{"self":[{"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts\/17","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/comments?post=17"}],"version-history":[{"count":0,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts\/17\/revisions"}],"wp:attachment":[{"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/media?parent=17"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/categories?post=17"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/tags?post=17"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}