If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.

The strongest appeal of the Copernican formulation consisted in just this: ideally, the justification for dealing with special problems in particular ways is completely set out in the basic ' rules ' of the theory.

Each will decide on his own course somewhere between these two extreme cases according to the sense of responsibility which is determined for him by the particular circumstances of his own life.

In particular, Governor Nelson Rockefeller has expressed as cogently and clearly as anyone the case for a resumption of atmospheric tests.

Second, we can make assistance for particular projects conditional on the consistency of such projects with the program.

It would seem, then, that movable property and equipment is not taxed as a whole but that certain types are taxed in towns where this is bound to be expedient for that particular kind of personal property.

The Armed Forces Epidemiological Board agreed to submit each month a report for one of its 12 commissions, so that each commission will report once a year on some phase of its work calculated to be of particular interest and value to medical officers of the Armed Forces.

Determine for each State ( except the Virgin Islands, Guam and Puerto Rico, and, prior to 1962, Alaska and Hawaii ) that percentage which bears the same ratio to 50% as the particular State's average per capita income bears to the average per capita income of the U. S..

If the resulting difference for the particular State is less or more than these extremes, the State's allotment percentage must be raised or lowered to the appropriate extreme.

Determine the particular State's unadjusted allotment for the particular fiscal year.

Determine for each State ( except the Virgin Islands, Guam, Puerto Rico, and, prior to 1962, Alaska and Hawaii ), that percentage which bears the same ration to 40% as the particular State's average per capita income bears to the average per capita income of the United States.

If the resulting difference for the particular State is less or more than these extremes, the State's Federal share must be raised or lowered to the appropriate extreme.

Petitioner was not entitled to have the hearing officer's notes and report, especially since he failed to show any particular need for them and he did have a copy of the Department of Justice's recommendation to the appeal board.

Petitioner was not entitled, either in the administrative hearing at the Department of Justice or at his trial, to inspect the original report of the Federal Bureau of Investigation, since he was furnished a resume of it, did not challenge its accuracy, and showed no particular need for the original report.

In addition, petitioner has failed to show any particular need for the report and notes.

The 20-to-1 ratio for cochannel interference embodies one of the fundamental limiting principles which we must always take into account in AM assignments and allocations -- that signals from a particular station are potential sources of objectionable interference over an area much greater than that within which they provide useful service.

For this reason, the more uncertain skywave service was denominated `` secondary '' in our rules, as compared to the steadier, more reliable groundwave `` primary service '', and, for both skywave service and skywave interference, signal strength is expressed in terms of percentage of time a particular signal-intensity level is exceeded -- 50 percent of the time for skywave service, 10 percent of the time for skywave interference.

Perhaps the outstanding standard bearer of Mr. Brown's tradition for accuracy was Mr. Oscar J. Beale, whose mechanical genius closely paralleled that of Mr. Brown, and whose particular forte was the development of the exceedingly accurate measuring machinery that enabled Brown & Sharpe to manufacture gages, and therefore its products, with an accuracy exceeding anything then available elsewhere in the world.

Our instructions assume you are building this particular frame, which is for a junction.

It is, I am reliably given to understand, the technical argot for those who engage in your particular branch of the boost ; ;

With due consideration for the limits of precision in assessing, expected rate of change in ossification of girls age 2 years, and the known variations in rate of ossification of these children as described in our preceding paper in the Supplement, each arrow with a `` shaft length '' of four months or less was selected as indicating `` same schedule '' at Onset and Completion, for this particular epiphysis.

At the same time, Searight intended his language to be more practical than most a priori languages like Solresol or Ro, which were intended to be unbiased by any particular group of natural languages.

It is unbiased in that the probability of a particular result is equal to the proportion of total support that that result has in all the votes.

But in all instances the request should be unbiased, with no incentives for a positive review, and that's where this particular e-mail went too far ", and that it was a mistake by a marketing employee.

These are sufficient conditions for the least-squares estimator to possess desirable properties ; in particular, these assumptions imply that the parameter estimates will be unbiased, consistent, and efficient in the class of linear unbiased estimators.

Johnson states, " I am interested in what unbiased science has to tell us about the history of life, and in particular how the enormously complex organs of plants and animals came into existence.

Being a function of the data, the estimator is itself a random variable ; a particular realization of this random variable is called the " estimate ".

However, when MSE is computed for a particular estimator of the true value of which is not known, it will be subject to estimation error.

Sound statistical practice requires selecting an estimator consistent with the actual loss experienced in the context of a particular applied problem.

The best-known example is the James – Stein estimator, which works by starting at X and moving towards a particular point ( such as the origin ) by an amount inversely proportional to the distance of X from that point.

For any particular value of θ the new estimator will improve at least one of the individual mean square errors This is not hard − for instance, if is between − 1 and 1, and σ

If the observations are collected from a random sample, statistical theory provides probabilistic estimates of the likely size of the sampling error for a particular statistic or estimator.

In statistics, analysis of variance ( ANOVA ) is a collection of statistical models, and their associated procedures, in which the observed variance in a particular variable is partitioned into components attributable to different sources of variation.

A learning algorithm has high variance for a particular input if it predicts different output values when trained on different training sets.

The daytime version has also seen its share of variance, as was the case in two particular episodes.

In particular, the variance is one of the moments of a distribution.

Samuelson's inequality is a result that states, given that the sample mean and variance have been calculated from a particular sample, bounds on the values that individual values in the sample can take.

where z is a datum at a particular location, h is the distance between ordered data, and n ( h ) is the number of paired data at a distance of h. The semivariance is half the variance of the increments, but the whole variance of z-values at given separation distance h ( Bachmaier and Backes, 2008 ).

MLE would accomplish this by taking the mean and variance as parameters and finding particular parametric values that make the observed results the most probable ( given the model ).

The deviance is used to compare two models-in particular in the case of generalized linear models where it has a similar role to residual variance from ANOVA in linear models ( RSS ).

In particular ARCH models assume the variance of the current error term or innovation to be a function of the actual sizes of the previous time periods ' error terms: often the variance is related to the squares of the previous innovations.

The term is due to H. Rabitz and include as a particular case the variance based methods.

Occupational hygienists do not rely on the accuracy of the equipment or method used but in knowing with certainty and precision the limits of the equipment or method being used and the error or variance given by using that particular equipment or method.

High card by suit is used to break ties between poker hands as a regional variance, but more commonly is used in the following situations, as well as various others, based upon the circumstances of the particular game:

This formula is not the true posterior distribution, but an approximation to it ; in particular, it will generally agree fairly closely in the lowest moments of the unobserved variables, e. g. the mean and variance.

As in some other areas of the law, the actual judicial disposition appeared at times to be at variance with this particular principle.

While the particular specification of " optimal " here — requiring unbiasedness and measuring " goodness " using the variance — may not always be what is wanted for any given practical situation, it is one where useful and generally applicable results can be found.

For example, individuals with the same allele for a gene involved in a quantitative trait like body height might have large variance ( some are taller than others ), making prediction of the phenotype from a particular genotype alone difficult.

Hood, however, rejects this interpretation on the grounds that pension plans in particular cannot cross-share risks and that they are explicitly singular entities, rendering shared variance irrelevant.

In particular, the residuals should be independent of each other and constant in mean and variance over time.

An alternative parametric approach is to assume that the residuals follow a mixture of normal distributions ; in particular, a contaminated normal distribution in which the majority of observations are from a specified normal distribution, but a small proportion are from a normal distribution with much higher variance.