{"id":505,"date":"2015-01-06T17:15:59","date_gmt":"2015-01-06T17:15:59","guid":{"rendered":"http:\/\/frees.pajarel.net\/?page_id=505"},"modified":"2015-02-20T18:40:22","modified_gmt":"2015-02-21T00:40:22","slug":"summary","status":"publish","type":"page","link":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/actuarial-mathematics\/multiple-decrement-models\/4-fractional-age-assumptions\/summary\/","title":{"rendered":"Summary"},"content":{"rendered":"<table>\n<tr>\n<td>Concept<\/td>\n<td>Function<\/td>\n<td>UDD<\/td>\n<td>Constant Force<\/td>\n<\/tr>\n<tr>\n<td>Transition Probability<\/td>\n<td>\\(_t p_x^{0j}\\)<\/td>\n<td>\\( t \\times p_x^{0j}\\)<\/td>\n<td(\\frac{ p_x^{0j}}{p_x^{0\\bullet}} \\left(1- (p_x^{00})^t\\right) \\)<\/td>\n<\/tr>\n<tr>\n<td>Total Transition Probability<\/td>\n<td>\\( _t p_x^{0\\bullet}\\)<\/td>\n<td>\\( t \\times p_x^{0\\bullet}\\)<\/td>\n<td>\\(1- (p_x^{00})^t \\)<\/td>\n<\/tr>\n<tr>\n<td>Survival Probability<\/td>\n<td>\\( _t p_x^{00}\\)<\/td>\n<td>\\( 1-t \\times p_x^{0\\bullet}\\)<\/td>\n<td>\\( (p_x^{00})^t \\)<\/td>\n<\/tr>\n<tr>\n<td>Transition Forces<\/td>\n<td>\\( \\mu_{x+t}^{0j}\\)<\/td>\n<td>\\( \\frac{p_x^{0j}}{1 &#8211; t \\times p_x^{0\\bullet}}\\)  <\/td>\n<td>\\(p_x^{0\\bullet}\\)<\/td>\n<\/tr>\n<\/table>\n<p><div class=\"alignleft\"><a href=\"https:\/\/users.ssc.wisc.edu\/~ewfrees\/actuarial-mathematics\/multiple-decrement-models\/4-fractional-age-assumptions\/constant-transition-forces-in-the-multiple-decrement-table\/\" title=\"Constant Transition Forces in the Multiple Decrement Table\">&#9668 Previous page<\/a><\/div><div class=\"alignright\"><a href=\"https:\/\/users.ssc.wisc.edu\/~ewfrees\/actuarial-mathematics\/multiple-decrement-models\/4-fractional-age-assumptions\/uniform-distributions-of-decrements-in-the-multiple-decrement-table\/\" title=\"Uniform Distributions of Decrements in the Multiple Decrement Table\">Next page &#9658<\/a><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Concept Function UDD Constant Force Transition Probability \\(_t p_x^{0j}\\) \\( t \\times p_x^{0j}\\)<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":495,"menu_order":1,"comment_status":"closed","ping_status":"open","template":"","meta":{"jetpack_post_was_ever_published":false},"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P8cLPd-89","acf":[],"_links":{"self":[{"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages\/505"}],"collection":[{"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/comments?post=505"}],"version-history":[{"count":3,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages\/505\/revisions"}],"predecessor-version":[{"id":1615,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages\/505\/revisions\/1615"}],"up":[{"embeddable":true,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages\/495"}],"wp:attachment":[{"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/media?parent=505"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}