Variabel acak: Béda antarrépisi

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Budhi (obrolan | kontribusi)
Budhi (obrolan | kontribusi)
Baris ka-53:
Dina raraga leuwih ngajentrekeun, di handap ieu sababaraha hal ngeunaan kasaruaan dijentrekeun.
 
==== EqualitySaruan indina distributionsebaran ====
 
TwoDua randomvariabel variablesacak ''X'' andjeung ''Y'' are ''equalsarua indina distributionsebaran'' iflamun
 
:<math>\operatorname{P}(X \le x) = \operatorname{P}(Y \le x)\quad\hbox{forkeur allsakabeh}\quad x.</math>
 
Bakal sarua dina sebaran, variabel acak teu perlu kapanggih dina rohang probabilitas nu sarua, tapi teu kaleungitan kailaharan nu bisa dijieun kana variabel acak dina rohang probabilitas nu sarua. Lambang nu sarua di sebaran pakait jeung lambang jarak saterusna antara sebaran probabilitas,
To be equal in distribution, random variables need not be defined on the same probability space, but without loss of generality they can be made into independent random variables on the same probability space. The notion of equivalence in distribution is associated to the following notion of distance between probability distributions,
 
:<math>d(X,Y)=\sup_x|\operatorname{P}(X \le x) - \operatorname{P}(Y \le x)|,</math>
 
whichnumana isdumasar the basis of thekana [[Kolmogorov-Smirnov test|tes Kolmogorov-Smirnov]].
 
==== Equality in mean ====