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 ]






integration







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 ]






    integration







    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 ]






      integration







      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




      integration






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited 19 hours ago

























      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

          AnyDesk - Fatal Program Failure

          Image
          up vote 0 down vote favorite Good day all. I have a window that pops up saying Fatal Program Failure (AnyDesk). This is what I have done so far: Uninstalled AnyDesk and reinstalled it. ( The window still appeared ) I disabled AnyDesk start up in Msconfig and the window seems to have disapeared. Lastly I made sure that AnyDesk worked by remoting into it, and it worked. Today the same window appeared. How do I get rid of this window? remote-desktop share | improve this question edited 10 hours ago Tomasz Jakub Rup 552 3 13 ...
          Read more

          How to calibrate 16:9 built-in touch-screen to a 4:3 resolution?

          Image
          up vote 0 down vote favorite I need help with an issue we're facing in a project where we are moving from a Windows-based POS environment to one running on CentOS7. The problem consists of a number of factors, please find the details below: The supplier of our POS application will only deliver an application that is hard-coded to run in a 1024:768 4:3 format. The hardware we are using is a POS unit from HP that has a built-in 16:9 touch-screen. The employees using this solution is not supposed to see nor have access to anything but the POS application. Our sales organization demands that touch is an available feature when going live with the new POS environment. Going further into this, allow me to explain what we have encountered on the way trying to achieve the goal of having a touch-screen: We've simply change...
          Read more

          QoS: MAC-Priority for clients behind a repeater

          Image
          1 1 I've setup a wireless network using a Linksys-Router (DD-WRT) as an AP and a TP-Link repeater for range extension. To manage bandwith for specific users, I've setup QoS-Rules on the AP (DD-WRT) using MAC-Priority: However the AP shows only the Repeater's MAC and the MACs of users inside the AP-Range. The MAC addresses of users behind the Repeater are not listed : The purple MAC is not listed in the AP-Clientlist. Its related to a device connected via the TP-Link repeater. Q: How can I setup MAC-Priority for repeater-clients? Do I simply add the purple MAC in AP-MAC priority list although it's not listed as a client? I want to setup specific priority instead of giving one priority for all clients behind the repeater by adding the repeater's MAC in the MAC priority list in the AP as ...
          Read more