Find Mean Residual Life of a bounded variable











up vote
-2
down vote

favorite












Define [ Sleft( xright) = 1- exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0.]
Let [ fleft( xright) =frac{alpha beta}{x^{beta+1}} exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0. ]
I want to evaluate the following integral:
[ mleft( tright) =frac{int_{t}^{1}ufleft( uright) }{Sleft( tright)}-t ]










share|cite|improve this question




























    up vote
    -2
    down vote

    favorite












    Define [ Sleft( xright) = 1- exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0.]
    Let [ fleft( xright) =frac{alpha beta}{x^{beta+1}} exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0. ]
    I want to evaluate the following integral:
    [ mleft( tright) =frac{int_{t}^{1}ufleft( uright) }{Sleft( tright)}-t ]










    share|cite|improve this question


























      up vote
      -2
      down vote

      favorite









      up vote
      -2
      down vote

      favorite











      Define [ Sleft( xright) = 1- exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0.]
      Let [ fleft( xright) =frac{alpha beta}{x^{beta+1}} exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0. ]
      I want to evaluate the following integral:
      [ mleft( tright) =frac{int_{t}^{1}ufleft( uright) }{Sleft( tright)}-t ]










      share|cite|improve this question















      Define [ Sleft( xright) = 1- exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0.]
      Let [ fleft( xright) =frac{alpha beta}{x^{beta+1}} exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0. ]
      I want to evaluate the following integral:
      [ mleft( tright) =frac{int_{t}^{1}ufleft( uright) }{Sleft( tright)}-t ]







      integration






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited yesterday

























      asked Nov 12 at 13:18









      Student

      34




      34



























          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














           

          draft saved


          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2995300%2ffind-mean-residual-life-of-a-bounded-variable%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown






























          active

          oldest

          votes













          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















           

          draft saved


          draft discarded



















































           


          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2995300%2ffind-mean-residual-life-of-a-bounded-variable%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Quarter-circle Tiles

          build a pushdown automaton that recognizes the reverse language of a given pushdown automaton?

          Mont Emei