Variable aleatory

1) cumulative Function of probability:

 

2) statistical Moment:

 

3) medium Value:

Draft of the statistical moment of order 1 .

 

4) Variance:

Draft of the moment centers them of second ordine .

 

5) Shunting line standard:

It is the square root of the variance, also is said standard deviation.

 

6) characteristic Function:

pu² to be considered the antitransformed one of the probability density.

 

7) uniform Distribution:

 

8) Gaussian distribution:

 

9) Function of error:

 

10) complementary Function of error:

 

11) Distribution of Rayleigh:

con x ³0

 

12) exponential Distribution:

con x ³0

 

13) Distribution of Rice:

con x ³0

where_{the 0} are the function of modified Bessel.

 

14) range Function:

for x > 0

 

15) Distribution lognormale:

per x > 0

 

16) binomial Distribution:

 

17) cumulative Function of variable probabilities of two aleatory ones:

 

18) variable Moment of the brace of aleatory:

it enjoys the property of decomposition for the functions that decide of the additiva or moltiplicativa separation.

 

19) Covarianza:

 

20) Condition of incorrelationship :

 

21) Coefficient of intercorrelationship :

where m are the combined moment of 2° E[x order^k1 x^k2].

 

22) Density of probability of one variable aleatory y function of one variable aleatory x:

 

23) Density of combined probability in the case of variable aleatory independent:

 

24) Jacobiano of one brace of transformations g(x, y) and h(x, y):

 

25) Density of combined probability f_zv of a function of 2 variable ones of which the density of combined probability is famous f_{xy :}