Sentence examples for bound for the variance from inspiring English sources

Therefore, the bound for the variance estimation cannot be found.

We also obtain a lower bound for the variance of the same family of measures.

A robust design should be based on some reliable upper bound for the variance of σ2W.

Hence, we aim to derive the lower bound for the variance of the proposed ML estimator.

We give a second order lower bound for the variance incurred by a three-stage procedure for estimating a product of means by allocation from independent Bernoulli populations.

Gurland [10] has given an inequality satisfied by the gamma function, using the so-called Cramér-Rao lower bound for the variance of unbiased estimators.

It is shown that the lower bound for the average variance of a set of contrasts in the usual block design setting with a single measured response also provides a bound for a similar set of contrasts in the multiple response setting.

However, for designs with more than three observations per subject, Kunert and Utzig (1993) only give a rough upper bound for the worst-case variance bias.

Hence, with the aid of Proposition 1, it is known in advance that the lower bound for the prediction error variance could only be achieved in case decision is obtained directly from the original time series.

Following a similar procedure, we derive a bound for the (sinusoidal) period estimate variance herein as: (7) where is the 'signal-to-noise ratio', which can be interpreted as the ratio of the energy of the perfectly periodic component of x[ n] to that of the remaining component of x[ n].

We can claim with some confidence that presented CRLB values are the minimum attainable estimator variance bound for the nonlinear RC model.