Sentence examples for depends on random variables from inspiring English sources

Monte Carlo method is a simulation technique, which obtain results by averaging different realizations of an experiment which depends on random variables.

We further extend the notation by allowing the number of replications to depend on random variables, as represented by the dotted arrow from SUB to the plate indexed by j.

The packet dropout's probability of the i-th channel depends on random Bernoulli variables.

Note that ε ̄ TE ( τ 0, γ, ψ ) is random because it depends on four random variables, ρns,0, ρ ̇ n s, 0, ρ ̈ n s, 0, and a0.

For two linearly related variables, the Pearson correlation coefficient measures the strength of their association, which depends on random but not systematic error.

Cryptography depends on random numbers.

The resulting alignment depends on random numbers.

Since the results metaheuristic algorithms depend on random initial variables, the design codes are run several times to obtain a sample pool.

The rate r c (t), given in Eq. (9), is also a random variable, as it depends on the random variable N (t).

The expected value of a function (f : varPi rightarrowmathbb{R}), which depends on the random variables, is defined as mathbb{E} [ f ] := int_{varOmega } fbigl({boldsymbol{xi}} omega bigr), { mathrm{d}}mathbb{P} omega) = int_{varPi } f {boldsymbol{xi}}) rho {boldsymbol{xi}}), mathrm{d} {boldsymbol{xi}} (6) provided that the integral is finite.

Finally, note also that a similar procedure to estimate the Friedlander's error derived in Section 3.1 is infeasible due to the fact that the error in Equation (19) depends on the random variables τ ̂ ML, γ ̂ ML, ρ ( τ ̂ ML ), ρ ̇ ( τ ̂ ML ), and ρ ̈ ( τ ̂ ML ), the probability density functions of which are unavailable.