STATISTICS
formulas2015

formulas2015 - Medidas muestrales Reglas de Probabilidad n...

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4/25/2015 1 Medidas muestrales 1 Media muestral ponderada Mediana Varianza muestral Covarianza Coeficiente de correlación muestral 1 , 1 0 1 1 n i i i n i i i w w w donde X w X n i i i XY Y Y X X n S 1 1 1 Reglas de Probabilidad 2 1. Para todo evento A, 0 P(A) 1 2. P(A B) = Prob(que se de A o B), P(A B) = P(A)+P(B) - P(A B) 3. Probabilidad condicional Regla de Bayes 4. Eventos Independientes: A y B son independientes si P(A / B) = P(A) o P(A ∩ B) = P(A)*P(B) 5. Probabilidad Total: Si el evento B tiene dos casos posibles P(A )=P(A / B1)*P(B1) + P(A / B2)*P(B2) ) ( ) ( ) / ( A P B A P A B P ) ( ) ( ) / ( ) / ( A P B P B A P A B P Esperanza matemática Varianza Covarianza 3 n i i i n n x p x x X p x x X p x X E 1 1 1 ) ( ) ( ... ) ( ) ( n i i i x p x E x x E x E X 1 2 2 ) ( ) ( ) ( ) var(     Y E Y X E X E p Y E y X E x Y X Y X XY XY Y i X i ) , cov( Reglas de la esperanza: E(X+a)=E(X)+a E(aX)=aE(X) E(X+Y)=E(X)+E(Y) E(aX+bY)= aE(X)+bE(Y) E(X Y) = E(X) E(Y) solo si son independientes Reglas de la varianza: var(X) 0 var(a)=0
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• Spring '15
• Media aritmética, Correlación, inferência bayesiana, Coeficiente de correlación de Pearson, Probabilidad condicionada

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