Is this a mistake? (regarding maximum likelihood estimator)Validity of maximising log-likelihood for maximum likelihood estimationMethod of moments and maximum likelihood problemKL-divergence as a negative log likelihood for exponential familiesimprove performance of finding rolling window maximum likelihoodMaximum-Likelihood estimatorMaximum Likelihood Estimators under null hypothesis $H_0: mu=csigma$Finding the maximum likelihood estimatorMaximum likelihood estimator for $theta$Variance of distribution for maximum likelihood estimatorMaximum Likelihood with 2 Samples

Compiling c files on ubuntu and using the executable on Windows

Do any instruments not produce overtones?

Arriving at the same result with the opposite hypotheses

Soft question: Examples where lack of mathematical rigour cause security breaches?

When did Linux kernel become libre software?

What's up with this leaf?

What language is the software written in on the ISS?

At what point in time did Dumbledore ask Snape to do this thing?

How would a aircraft visually signal in distress?

Why would future John risk sending back a T-800 to save his younger self?

Should I give professor gift at the beginning of my PhD?

The eyes have it

My coworkers think I had a long honeymoon. Actually I was diagnosed with cancer. How do I talk about it?

How to retract an idea already pitched to an employer?

How does a transformer increase voltage while decreasing the current?

Is this a mistake? (regarding maximum likelihood estimator)

Can a black dragonborn's acid breath weapon destroy objects?

Frame failure sudden death?

PhD - Well known professor or well known school?

How to chain Python function calls so the behaviour is as follows

Should an arbiter claim draw at a K+R vs K+R endgame?

What makes Ada the language of choice for the ISS's safety-critical systems?

Does an ice chest packed full of frozen food need ice?

Do the English have an ancient (obsolete) verb for the action of the book opening?



Is this a mistake? (regarding maximum likelihood estimator)


Validity of maximising log-likelihood for maximum likelihood estimationMethod of moments and maximum likelihood problemKL-divergence as a negative log likelihood for exponential familiesimprove performance of finding rolling window maximum likelihoodMaximum-Likelihood estimatorMaximum Likelihood Estimators under null hypothesis $H_0: mu=csigma$Finding the maximum likelihood estimatorMaximum likelihood estimator for $theta$Variance of distribution for maximum likelihood estimatorMaximum Likelihood with 2 Samples






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








1












$begingroup$


Screenshot from textbook



Under 'general remarks' on maximum likelihood estimators. I don't understand the right hand side of ii. (it is also repeated in iii. this time as the log-likelihood function). That the MLE is theta hat equals arg-theta-max makes sense but why does the likelihood function of theta hat also equal arg-theta-max? Doesn't this imply that theta-hat equals its own likelihood function? This doesn't make sense to me. Should it?










share|cite|improve this question







New contributor



Awaitingthebus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






$endgroup$


















    1












    $begingroup$


    Screenshot from textbook



    Under 'general remarks' on maximum likelihood estimators. I don't understand the right hand side of ii. (it is also repeated in iii. this time as the log-likelihood function). That the MLE is theta hat equals arg-theta-max makes sense but why does the likelihood function of theta hat also equal arg-theta-max? Doesn't this imply that theta-hat equals its own likelihood function? This doesn't make sense to me. Should it?










    share|cite|improve this question







    New contributor



    Awaitingthebus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






    $endgroup$














      1












      1








      1





      $begingroup$


      Screenshot from textbook



      Under 'general remarks' on maximum likelihood estimators. I don't understand the right hand side of ii. (it is also repeated in iii. this time as the log-likelihood function). That the MLE is theta hat equals arg-theta-max makes sense but why does the likelihood function of theta hat also equal arg-theta-max? Doesn't this imply that theta-hat equals its own likelihood function? This doesn't make sense to me. Should it?










      share|cite|improve this question







      New contributor



      Awaitingthebus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      $endgroup$




      Screenshot from textbook



      Under 'general remarks' on maximum likelihood estimators. I don't understand the right hand side of ii. (it is also repeated in iii. this time as the log-likelihood function). That the MLE is theta hat equals arg-theta-max makes sense but why does the likelihood function of theta hat also equal arg-theta-max? Doesn't this imply that theta-hat equals its own likelihood function? This doesn't make sense to me. Should it?







      maximum-likelihood






      share|cite|improve this question







      New contributor



      Awaitingthebus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.










      share|cite|improve this question







      New contributor



      Awaitingthebus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      share|cite|improve this question




      share|cite|improve this question






      New contributor



      Awaitingthebus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      asked 9 hours ago









      AwaitingthebusAwaitingthebus

      82




      82




      New contributor



      Awaitingthebus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




      New contributor




      Awaitingthebus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






















          1 Answer
          1






          active

          oldest

          votes


















          5












          $begingroup$

          I believe the second parts should read
          $$
          L(hattheta) = max_theta L(theta)
          $$

          and
          $$
          l(hattheta) = max_theta l(theta)
          $$



          As written, it doesn't make sense.






          share|cite|improve this answer









          $endgroup$













            Your Answer








            StackExchange.ready(function()
            var channelOptions =
            tags: "".split(" "),
            id: "65"
            ;
            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: false,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: null,
            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
            ,
            onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            );



            );






            Awaitingthebus is a new contributor. Be nice, and check out our Code of Conduct.









            draft saved

            draft discarded


















            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f411331%2fis-this-a-mistake-regarding-maximum-likelihood-estimator%23new-answer', 'question_page');

            );

            Post as a guest















            Required, but never shown

























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            5












            $begingroup$

            I believe the second parts should read
            $$
            L(hattheta) = max_theta L(theta)
            $$

            and
            $$
            l(hattheta) = max_theta l(theta)
            $$



            As written, it doesn't make sense.






            share|cite|improve this answer









            $endgroup$

















              5












              $begingroup$

              I believe the second parts should read
              $$
              L(hattheta) = max_theta L(theta)
              $$

              and
              $$
              l(hattheta) = max_theta l(theta)
              $$



              As written, it doesn't make sense.






              share|cite|improve this answer









              $endgroup$















                5












                5








                5





                $begingroup$

                I believe the second parts should read
                $$
                L(hattheta) = max_theta L(theta)
                $$

                and
                $$
                l(hattheta) = max_theta l(theta)
                $$



                As written, it doesn't make sense.






                share|cite|improve this answer









                $endgroup$



                I believe the second parts should read
                $$
                L(hattheta) = max_theta L(theta)
                $$

                and
                $$
                l(hattheta) = max_theta l(theta)
                $$



                As written, it doesn't make sense.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered 9 hours ago









                Peter K.Peter K.

                1688




                1688




















                    Awaitingthebus is a new contributor. Be nice, and check out our Code of Conduct.









                    draft saved

                    draft discarded


















                    Awaitingthebus is a new contributor. Be nice, and check out our Code of Conduct.












                    Awaitingthebus is a new contributor. Be nice, and check out our Code of Conduct.











                    Awaitingthebus is a new contributor. Be nice, and check out our Code of Conduct.














                    Thanks for contributing an answer to Cross Validated!


                    • 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%2fstats.stackexchange.com%2fquestions%2f411331%2fis-this-a-mistake-regarding-maximum-likelihood-estimator%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

                    Canceling a color specificationRandomly assigning color to Graphics3D objects?Default color for Filling in Mathematica 9Coloring specific elements of sets with a prime modified order in an array plotHow to pick a color differing significantly from the colors already in a given color list?Detection of the text colorColor numbers based on their valueCan color schemes for use with ColorData include opacity specification?My dynamic color schemes

                    Invision Community Contents History See also References External links Navigation menuProprietaryinvisioncommunity.comIPS Community ForumsIPS Community Forumsthis blog entry"License Changes, IP.Board 3.4, and the Future""Interview -- Matt Mecham of Ibforums""CEO Invision Power Board, Matt Mecham Is a Liar, Thief!"IPB License Explanation 1.3, 1.3.1, 2.0, and 2.1ArchivedSecurity Fixes, Updates And Enhancements For IPB 1.3.1Archived"New Demo Accounts - Invision Power Services"the original"New Default Skin"the original"Invision Power Board 3.0.0 and Applications Released"the original"Archived copy"the original"Perpetual licenses being done away with""Release Notes - Invision Power Services""Introducing: IPS Community Suite 4!"Invision Community Release Notes

                    In Tikz, how to set a node's label alignment to the left?Rotate a node but not its content: the case of the ellipse decorationHow to define the default vertical distance between nodes?Numerical conditional within tikz keys?TikZ/ERD: node (=Entity) label on the insideLine up nested tikz enviroments or how to get rid of themVertically align a tikzpicture and forestDrawing tikz line in the margin for multiple pagesLongtable, contained tikz, padding, custom columns, and an alignment issueTikZ: define arrow starting position based on style and format node labelAlign node name in Tikz