Sentence examples for distributed as a sum of from inspiring English sources

Assuming that any such position can be an insertion or a deletion independently with the same probability, the random variable k − k′ is distributed as a sum of independent random variables with values in {+1, −1, 0} with mean value 0, thus, by a Chernoff bound argument, its tail distribution decays exponentially (Motwani and Raghavan, 1995; Mulmuley, 1993).

Then, given r = r, the run length z is distributed as the sum of r geometric variables, which would result in a negative binomial distribution were these geometric variables independent.

If the member sensor node contains more than one son node, the time-slot of this member node is distributed as sum of all its son nodes.

The mean phenotype vector is defined as Y ¯ = N A 1 N / N. Following Wu et al. [ 11], the test statistic is T = Y − Y ¯ T K (Y − Y ¯ ) / 2. The SKAT test statistic under the null hypothesis is asymptotically distributed as the weighted sum of chi-squared random variables with one degree of freedom.

In [2, 10], it is shown that the sum of κ-μ powers is κ-μ power distributed as well (but with different parameters), which is an ideal choice for MRC analysis.

In the special case where the modulation has constant amplitude (e.g., as in PSK) and the amplitude is Rayleigh-distributed, Ztotal is a sum of normally distributed random variables and therefore is normally distributed by the central limit theorem.

Total interpersonal problems (sum of 32 item scores) were distributed as a truncated normal curve (skewed toward 0, range 6 - 75).

Thus, can be viewed as a sum of independent and identically distributed random variables.

Gravity g i at a time t = t i can be modeled as a sum of a linear trend and normally distributed random noise w i with zero mean and unknown variance σ2 as (3).

The seasonal variation was modeled as a sum of two sinusoids with periods of 12 and 6 months, allowing the peak and trough to be non-symmetrically distributed during the calendar year.

Algebraically, then, what that corresponds to is representing the sequence as a sum of individual terms as I've indicated here or in terms of a general sum, the sum of x[k] delta[n-k].