Sentence examples for with a regular probability from inspiring English sources

Assume that omegainmathcal{O}mapsto W cdot,omega inmathcal{W} is a random variable, and the mapping omegainmathcal{O}mapstobigl[rho_{0}(cdot,omega),(rhomathbf {u})_{0}(cdot,omega),mathbf{H}_{0}(cdot,omega bigr] inmathcal{ID} is a random variable on (mathcal{O}={mathcal{O},mathcal{B},mu}), with a regular probability measure μ.

We consider the central limit theorem for the probability density function ƒn(x) of the standardized sum of independent and identically distributed random variables with finite variance and regular probability density function.

Moreover, μ is the fixed point of the operator (M_{ mathcal{S}}) in the topology of weak convergence within the space (mathcal{M}) of Borel regular probability measures with bounded support.

P R. The family may also be considered as a regular conditional probability.

The difference in the probability of being a user of family physician services between those with a regular medical doctor and those without was approximately 20%.

Starting with a regular ring graph in which each node is connected to its k-nearest neighbours, each edge is rewired with probability P, provided that self-loops and duplication of edges are prohibited.

Mr. Montalvo is a regular guy with a regular life.

With a regular doctor (n = 10) 2.2.

Start with a regular tampon.

Mark the eggs with a regular pencil.

Start with a regular piece of paper.