PROBBNRM Function

Returns a probability from a bivariate normal distribution.

Category: Probability
Returned data type: DOUBLE

Syntax

PROBBNRM(x, y, r)

Arguments

x

specifies a numeric constant, variable, or expression.

Data type DOUBLE

y

specifies a numeric constant, variable, or expression.

Data type DOUBLE

r

is a numeric correlation coefficient.

Range -1 ≤ r ≤ 1
Data type DOUBLE

Details

The PROBBNRM function returns the probability that an observation (X, Y) from a standardized bivariate normal distribution with mean 0, variance 1, and a correlation coefficient r, is less than or equal to (x, y). That is, it returns the probability that X≤x and Y≤y. The following equation describes the PROBBNRM function, where u and v represent the random variables x and y, respectively:

Example

The following statement illustrates the PROBBNRM function:
Statements
Results
select probbnrm(.4, -.3, .2);
0.27831833451902
Last updated: February 23, 2017