Sentence examples for sum of random from inspiring English sources

The following lemma gives a moment inequality for the maximum partial sum of random variables.

Lemma 2.3 gives a moment inequality for the sum of random variables.

where (y_{i},=,sum _{n=1}^{i}! p_{n}) is the sum of random transmit powers.

The PDF of y is a sum of random variables following a Rayleigh distribution.

The useful symbol is weighted by the equivalent channel frequency response, which is the sum of random variables of channels.

Computing the probability of the corresponding significance point is important in cases that have a finite sum of random variables.

These concepts are more general than some known setting of randomly weighted sums of random variables.

Many authors considered the complete convergence of the weight sums of random variables.

Theorem 3.1 concerns the weighted sums of random vectors in Hilbert space.

Sung [5] gave some sufficient conditions to prove the strong law of large numbers for weighted sums of random variables.

The following theorem gives a general method for obtaining the complete moment convergence for sums of random variables satisfying (2.9).