How to select a small amount of numbers such that a distribution matches another as closely as possible?












1












$begingroup$


I have two sets of numbers (1000 in each set, integers), one of those distributions remains constant (reference), but the other changes slightly and some numbers are dropped. When a number is dropped, I need to replace it with another number such that the resulting distribution is as close to the original (reference) as possible.



I could loop over possible values (or combinations in cases where multiple numbers were dropped) and in each iteration perform a KS test and pick the best result, but I was wondering if there may be quicker, more intelligent, ways to go around this.



Thank you in advance!










share|cite|improve this question









$endgroup$

















    1












    $begingroup$


    I have two sets of numbers (1000 in each set, integers), one of those distributions remains constant (reference), but the other changes slightly and some numbers are dropped. When a number is dropped, I need to replace it with another number such that the resulting distribution is as close to the original (reference) as possible.



    I could loop over possible values (or combinations in cases where multiple numbers were dropped) and in each iteration perform a KS test and pick the best result, but I was wondering if there may be quicker, more intelligent, ways to go around this.



    Thank you in advance!










    share|cite|improve this question









    $endgroup$















      1












      1








      1





      $begingroup$


      I have two sets of numbers (1000 in each set, integers), one of those distributions remains constant (reference), but the other changes slightly and some numbers are dropped. When a number is dropped, I need to replace it with another number such that the resulting distribution is as close to the original (reference) as possible.



      I could loop over possible values (or combinations in cases where multiple numbers were dropped) and in each iteration perform a KS test and pick the best result, but I was wondering if there may be quicker, more intelligent, ways to go around this.



      Thank you in advance!










      share|cite|improve this question









      $endgroup$




      I have two sets of numbers (1000 in each set, integers), one of those distributions remains constant (reference), but the other changes slightly and some numbers are dropped. When a number is dropped, I need to replace it with another number such that the resulting distribution is as close to the original (reference) as possible.



      I could loop over possible values (or combinations in cases where multiple numbers were dropped) and in each iteration perform a KS test and pick the best result, but I was wondering if there may be quicker, more intelligent, ways to go around this.



      Thank you in advance!







      matlab distribution-theory






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Feb 2 at 23:47









      MrKaplanMrKaplan

      83




      83






















          0






          active

          oldest

          votes












          Your Answer








          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',
          autoActivateHeartbeat: false,
          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%2f3097962%2fhow-to-select-a-small-amount-of-numbers-such-that-a-distribution-matches-another%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3097962%2fhow-to-select-a-small-amount-of-numbers-such-that-a-distribution-matches-another%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

          android studio warns about leanback feature tag usage required on manifest while using Unity exported app?

          SQL update select statement

          'app-layout' is not a known element: how to share Component with different Modules