4 samples from 4 smaller, adjacent uniform distributions instead of 1 large.











up vote
0
down vote

favorite












If the problem requires me to use 4 samples drawn from a uniform distribution $U[0, 1]$ is it allowed to instead obtain such samples from these uniform distributions:



sample once from $U[0,0.25]$



then sample once from $U(0.25, 0.5]$



then sample once from $U(0.5, 0.75]$



finally, sample once from $U(0.75, 1.0]$



Such an approach somewhat reminds me of Importance Sampling, except there is no correction to be applied, since the 4 ranges are equal in amount.










share|cite|improve this question




























    up vote
    0
    down vote

    favorite












    If the problem requires me to use 4 samples drawn from a uniform distribution $U[0, 1]$ is it allowed to instead obtain such samples from these uniform distributions:



    sample once from $U[0,0.25]$



    then sample once from $U(0.25, 0.5]$



    then sample once from $U(0.5, 0.75]$



    finally, sample once from $U(0.75, 1.0]$



    Such an approach somewhat reminds me of Importance Sampling, except there is no correction to be applied, since the 4 ranges are equal in amount.










    share|cite|improve this question


























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      If the problem requires me to use 4 samples drawn from a uniform distribution $U[0, 1]$ is it allowed to instead obtain such samples from these uniform distributions:



      sample once from $U[0,0.25]$



      then sample once from $U(0.25, 0.5]$



      then sample once from $U(0.5, 0.75]$



      finally, sample once from $U(0.75, 1.0]$



      Such an approach somewhat reminds me of Importance Sampling, except there is no correction to be applied, since the 4 ranges are equal in amount.










      share|cite|improve this question















      If the problem requires me to use 4 samples drawn from a uniform distribution $U[0, 1]$ is it allowed to instead obtain such samples from these uniform distributions:



      sample once from $U[0,0.25]$



      then sample once from $U(0.25, 0.5]$



      then sample once from $U(0.5, 0.75]$



      finally, sample once from $U(0.75, 1.0]$



      Such an approach somewhat reminds me of Importance Sampling, except there is no correction to be applied, since the 4 ranges are equal in amount.







      uniform-distribution






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Nov 12 at 23:53

























      asked Nov 11 at 9:54









      Kari

      1479




      1479



























          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%2f2993660%2f4-samples-from-4-smaller-adjacent-uniform-distributions-instead-of-1-large%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%2f2993660%2f4-samples-from-4-smaller-adjacent-uniform-distributions-instead-of-1-large%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

          How to change which sound is reproduced for terminal bell?

          Title Spacing in Bjornstrup Chapter, Removing Chapter Number From Contents

          Can I use Tabulator js library in my java Spring + Thymeleaf project?