http://www.multimediaexpo.cz/mmecz/index.php?action=history&feed=atom&title=Standardizovan%C3%BD_moment 2026-07-01T22:14:55Z Historie editací této stránky MediaWiki 1.16.5 http://www.multimediaexpo.cz/mmecz/index.php?title=Standardizovan%C3%BD_moment&diff=2398278&oldid=prev 2022-08-14T14:53:45Z

<p>Nahrazení textu „&lt;/math&gt;“ textem „\)&lt;/big&gt;“</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 14. 8. 2022, 14:53</td> </tr><tr><td colspan="2" class="diff-lineno">Řádka 7:</td> <td colspan="2" class="diff-lineno">Řádka 7:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>K-tý standardizovaný moment je definován vzorcem</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>K-tý standardizovaný moment je definován vzorcem</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>:&lt;big&gt;\(\mu_{k,st} = \frac{\mu_k}{\sigma^k}&lt;/<del class="diffchange diffchange-inline">math</del>&gt;,</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>:&lt;big&gt;\(\mu_{k,st} = \frac{\mu_k}{\sigma^k}<ins class="diffchange diffchange-inline">\)</ins>&lt;/<ins class="diffchange diffchange-inline">big</ins>&gt;,</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>kde &lt;big&gt;\(\mu_k&lt;/<del class="diffchange diffchange-inline">math</del>&gt; je k-tý centrální moment a &lt;big&gt;\(\sigma&lt;/<del class="diffchange diffchange-inline">math</del>&gt; je [[směrodatná odchylka]].</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>kde &lt;big&gt;\(\mu_k<ins class="diffchange diffchange-inline">\)</ins>&lt;/<ins class="diffchange diffchange-inline">big</ins>&gt; je k-tý centrální moment a &lt;big&gt;\(\sigma<ins class="diffchange diffchange-inline">\)</ins>&lt;/<ins class="diffchange diffchange-inline">big</ins>&gt; je [[směrodatná odchylka]].</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>První standardizovaný moment je vždy roven nule, druhý standardizovaný moment je roven vždy jedné.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>První standardizovaný moment je vždy roven nule, druhý standardizovaný moment je roven vždy jedné.</div></td></tr> <tr><td colspan="2" class="diff-lineno">Řádka 19:</td> <td colspan="2" class="diff-lineno">Řádka 19:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Standardizovaný moment je invariantní k posunu a násobení konstantou:</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Standardizovaný moment je invariantní k posunu a násobení konstantou:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>:&lt;big&gt;\( \mu_{k,st}\left(X+c\right) = \mu_{k,st}(cX) = \mu_{k,st}(X) &lt;/<del class="diffchange diffchange-inline">math</del>&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>:&lt;big&gt;\( \mu_{k,st}\left(X+c\right) = \mu_{k,st}(cX) = \mu_{k,st}(X<ins class="diffchange diffchange-inline">) \</ins>)&lt;/<ins class="diffchange diffchange-inline">big</ins>&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Článek z Wikipedie}}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Článek z Wikipedie}}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>[[Kategorie:Statistika]]</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>[[Kategorie:Statistika]]</div></td></tr> </table>

Sysop http://www.multimediaexpo.cz/mmecz/index.php?title=Standardizovan%C3%BD_moment&diff=2397576&oldid=prev 2022-08-14T14:50:10Z

<p>Nahrazení textu „&lt;math&gt;“ textem „&lt;big&gt;\(“</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 14. 8. 2022, 14:50</td> </tr><tr><td colspan="2" class="diff-lineno">Řádka 7:</td> <td colspan="2" class="diff-lineno">Řádka 7:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>K-tý standardizovaný moment je definován vzorcem</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>K-tý standardizovaný moment je definován vzorcem</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>:&lt;<del class="diffchange diffchange-inline">math</del>&gt;\mu_{k,st} = \frac{\mu_k}{\sigma^k}&lt;/math&gt;,</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>:&lt;<ins class="diffchange diffchange-inline">big</ins>&gt;<ins class="diffchange diffchange-inline">\(</ins>\mu_{k,st} = \frac{\mu_k}{\sigma^k}&lt;/math&gt;,</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>kde &lt;<del class="diffchange diffchange-inline">math</del>&gt;\mu_k&lt;/math&gt; je k-tý centrální moment a &lt;<del class="diffchange diffchange-inline">math</del>&gt;\sigma&lt;/math&gt; je [[směrodatná odchylka]].</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>kde &lt;<ins class="diffchange diffchange-inline">big</ins>&gt;<ins class="diffchange diffchange-inline">\(</ins>\mu_k&lt;/math&gt; je k-tý centrální moment a &lt;<ins class="diffchange diffchange-inline">big</ins>&gt;<ins class="diffchange diffchange-inline">\(</ins>\sigma&lt;/math&gt; je [[směrodatná odchylka]].</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>První standardizovaný moment je vždy roven nule, druhý standardizovaný moment je roven vždy jedné.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>První standardizovaný moment je vždy roven nule, druhý standardizovaný moment je roven vždy jedné.</div></td></tr> <tr><td colspan="2" class="diff-lineno">Řádka 19:</td> <td colspan="2" class="diff-lineno">Řádka 19:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Standardizovaný moment je invariantní k posunu a násobení konstantou:</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Standardizovaný moment je invariantní k posunu a násobení konstantou:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>:&lt;<del class="diffchange diffchange-inline">math</del>&gt; \mu_{k,st}\left(X+c\right) = \mu_{k,st}(cX) = \mu_{k,st}(X) &lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>:&lt;<ins class="diffchange diffchange-inline">big</ins>&gt;<ins class="diffchange diffchange-inline">\( </ins>\mu_{k,st}\left(X+c\right) = \mu_{k,st}(cX) = \mu_{k,st}(X) &lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Článek z Wikipedie}}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{{Článek z Wikipedie}}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>[[Kategorie:Statistika]]</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>[[Kategorie:Statistika]]</div></td></tr> </table>

Sysop http://www.multimediaexpo.cz/mmecz/index.php?title=Standardizovan%C3%BD_moment&diff=532297&oldid=prev 2014-02-17T11:58:35Z

<p>+ Výrazné vylepšení</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr valign='top'> <td colspan='2' style="background-color: white; color:black;">← Starší verze</td> <td colspan='2' style="background-color: white; color:black;">Verze z 17. 2. 2014, 11:58</td> </tr><tr><td colspan="2" class="diff-lineno">Řádka 1:</td> <td colspan="2" class="diff-lineno">Řádka 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del class="diffchange diffchange-inline">{{Wikipedia-cs|</del>Standardizovaný moment|<del class="diffchange diffchange-inline">700}}</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">'''</ins>Standardizovaný moment<ins class="diffchange diffchange-inline">''' je v [[Matematická statistika|matematické statistice]] jednou z charakterstik [[Rozdělení pravděpodobnosti</ins>|<ins class="diffchange diffchange-inline">pravděpodobnostního rozdělení]]. </ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Je variantou [[centrální moment|centrálního momentu]], nezávislou na škále.</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">== Definice ==</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">K-tý standardizovaný moment je definován vzorcem</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">:&lt;math&gt;\mu_{k,st} = \frac{\mu_k}{\sigma^k}&lt;/math&gt;,</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">kde &lt;math&gt;\mu_k&lt;/math&gt; je k-tý centrální moment a &lt;math&gt;\sigma&lt;/math&gt; je [[směrodatná odchylka]].</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">První standardizovaný moment je vždy roven nule, druhý standardizovaný moment je roven vždy jedné.</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Třetí a čtvrtý standardizovaný moment se nazývají [[Koeficient šikmosti|šikmost]] a [[Koeficient špičatosti|špičatost]].</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">== Vlastnosti ==</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Standardizovaný moment je invariantní k posunu a násobení konstantou:</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">:&lt;math&gt; \mu_{k,st}\left(X+c\right) = \mu_{k,st}(cX) = \mu_{k,st}(X) &lt;/math&gt;</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">{{Článek z Wikipedie}}</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>[[Kategorie:Statistika]]</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>[[Kategorie:Statistika]]</div></td></tr> </table>

Sysop http://www.multimediaexpo.cz/mmecz/index.php?title=Standardizovan%C3%BD_moment&diff=409265&oldid=prev 2013-11-15T11:42:02Z

<p>1 revizi</p> <table style="background-color: white; color:black;"> <tr valign='top'> <td colspan='1' style="background-color: white; color:black;">← Starší verze</td> <td colspan='1' style="background-color: white; color:black;">Verze z 15. 11. 2013, 11:42</td> </tr></table>

Sysop http://www.multimediaexpo.cz/mmecz/index.php?title=Standardizovan%C3%BD_moment&diff=409264&oldid=prev 2012-10-23T11:24:50Z

<p>1 revizi</p> <p><b>Nová stránka</b></p><div>{{Wikipedia-cs|Standardizovaný moment|700}}<br /> <br /> [[Kategorie:Statistika]]</div>

Sysop