{"id":5600,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/gammaln-precise\/"},"modified":"2021-02-26T09:56:12","modified_gmt":"2021-02-26T09:56:12","slug":"gammaln-precise","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/gammaln-precise\/","title":{"rendered":"GAMMALN.PRECISE"},"content":{"rendered":"

Funkce GAMMALN.PRECISE<\/strong> umo\u017e\u0148uje vypo\u010d\u00edtat p\u0159esn\u00fd p\u0159irozen\u00fd logaritmus gama funkce pro zadanou hodnotu x. Tato funkce se \u010dasto vyu\u017e\u00edv\u00e1 ve statistice, pravd\u011bpodobnosti a p\u0159i anal\u00fdz\u00e1ch, kter\u00e9 zahrnuj\u00ed distribuce spojen\u00e9 s gama funkc\u00ed. <\/p>\n

Syntaxe a pou\u017eit\u00ed<\/h2>\n

Syntaxe funkce GAMMALN.PRECISE<\/strong> ve slu\u017eb\u00e1ch Microsoft Excel a Google Sheets je: <\/p>\n

=GAMMALN.PRECISE(x)<\/code><\/pre>\n
 kde x<\/em> je \u010d\u00edseln\u00e1 hodnota, pro kterou chceme vypo\u010d\u00edtat logaritmus gama funkce. Je d\u016fle\u017eit\u00e9 zd\u016fraznit, \u017ee x mus\u00ed b\u00fdt kladn\u00e9 \u010d\u00edslo. <\/p>\n
 P\u0159\u00edklady pou\u017eit\u00ed funkce: <\/p>\n
    \n
  • =GAMMALN.PRECISE(1)<\/code> – V\u00fdsledek je 0, jeliko\u017e logaritmus gama funkce pro hodnotu 1 je nula.<\/li>\n
  • =GAMMALN.PRECISE(0.5)<\/code> – Spo\u010d\u00edt\u00e1 logaritmus gama funkce pro hodnotu 0.5.<\/li>\n<\/ul>\n
    Praktick\u00e9 p\u0159\u00edklady<\/h2>\n
     N\u00e1sleduj\u00edc\u00ed sc\u00e9n\u00e1\u0159e ilustruj\u00ed, jak m\u016f\u017eete funkci GAMMALN.PRECISE vyu\u017e\u00edt v praxi. <\/p>\n
    P\u0159\u00edklad 1: V\u00fdpo\u010det entropie pro gama distribuci<\/h2>\n
     Entropie je m\u00edra nejistoty spojen\u00e1 s n\u00e1hodnou prom\u011bnnou. U gama distribuce s parametry k<\/em> (tvar) a \u03b8<\/em> (m\u011b\u0159\u00edtko) m\u016f\u017eeme entropii (H) vypo\u010d\u00edtat pomoc\u00ed vzorce: <\/p>\n
    H = k + ln(\u03b8) + ln(\u0393(k)) + (1-k) * \u03c8(k)<\/code><\/pre>\n
     kde \u0393(k) ozna\u010duje gama funkci pro k a \u03c8(k) je digamma funkce. Pro k=5, \u03b8=2, v\u00fdpo\u010det by vypadal takto: <\/p>\n
      \n
    • ln(\u0393(5)) = =GAMMALN.PRECISE(5)<\/code><\/li>\n
    • Entropie H = 5 + ln(2) + v\u00fdsledek p\u0159edchoz\u00edho v\u00fdpo\u010dtu + (1-5) * PSI(5)<\/li>\n<\/ul>\n
      P\u0159\u00edklad 2: Anal\u00fdza rozd\u011blen\u00ed doby \u017eivota produktu<\/h2>\n
       P\u0159edpokl\u00e1dejme, \u017ee doba \u017eivota ur\u010dit\u00e9ho produktu sleduje gama distribuci. D\u00edky znalosti logaritmu gama funkce m\u016f\u017eeme efektivn\u011b odhadnout parametry distribuce a poskytnout detailn\u00ed anal\u00fdzu \u017eivotnosti produktu. <\/p>\n
       Kdy\u017e m\u00e1me nap\u0159\u00edklad soubor dat s dobami \u017eivota a chceme odhadnout parametry k a \u03b8 metodou maxim\u00e1ln\u00ed v\u011brohodnosti, ln(\u0393(k)) se \u010dasto vyskytuje ve vzorci. Pro odhad parametru k m\u016f\u017eeme vyu\u017e\u00edt nap\u0159\u00edklad: <\/p>\n
        \n
      • Maxim\u00e1ln\u00ed v\u011brohodnostn\u00ed funkci, ve kter\u00e9 je GAMMALN.PRECISE(k)<\/code> kl\u00ed\u010dov\u00fdm prvkem.<\/li>\n
      • V Excelu lze k odhadu vyu\u017e\u00edt iterativn\u00ed metodu pomoc\u00ed n\u00e1stroje jako je SOLVER, kde je GAMMALN.PRECISE(k)<\/code> z\u00e1sadn\u00ed sou\u010d\u00e1st\u00ed vzorce.<\/li>\n<\/ul>\n
         This revamped version of the Czech language article clarifies the usage and application of the `GAMMALN.PRECISE` function in Excel or Google Sheets, highlighting its significance in statistical computations and probability analysis.<\/p>\n","protected":false},"excerpt":{"rendered":"
        Vr\u00e1t\u00ed p\u0159irozen\u00fd logaritmus funkce gama \u0393(x)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[287],"tags":[],"class_list":["post-5600","post","type-post","status-publish","format-standard","hentry","category-statisticke"],"acf":[],"yoast_head":"\nFunkce GAMMALN.PRECISE v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije GAMMALN.PRECISE u Excelu i Google tablicama. 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