Sentence examples for be the joint probability from inspiring English sources

Let be the joint probability density function of and.

Let (mathbb {P}_{t}) be the joint probability measure for the collection of random variables {X0,X n,Y n }1≤n≤t.

For two features, { x r,x r + 1}, ranked in order of P ̄ r and P ̄ r + 1 values, let p( x r ) and p(x r + 1) be the probability density functions, and p( x r,x r + 1) be the joint probability density function, where r∈[1,L] is the rank of a feature in X corresponds to an index j in the original feature space.

where p y, x) is the joint probability distribution.

where is the joint probability density of and.

where g is the joint probability density of ((A^{delta }_{1}(t),X^{delta }_{1}(t))).

where is the joint probability between and, is the conditional probability of sound given concept, and is defined similarly.

where γ is the maximum prime number in A+B and p is the joint probability function on.

where γ is the maximum prime number in 2 · N and p is the joint probability function on.

Here, f Y,h (Y,h) is the joint probability density function of the observations and the channel coefficients.

In addition to the previously introduced notation, π ij is the joint probability of inclusion for unit i and j.