Ordinary least squares ( OLS ) is often used for estimation since it provides the BLUE or " best linear unbiased estimator " ( where " best " means most efficient, unbiased estimator ) given the Gauss-Markov assumptions.

The Gauss-Markov theorem shows that the OLS estimator is the best ( minimum variance ), unbiased estimator assuming the model is linear, the expected value of the error term is zero, errors are homoskedastic and not autocorrelated, and there is no perfect multicollinearity.

Error terms are assumed to be spherical otherwise the OLS estimator is inefficient.

( The error term does not get included in the expectation values as it is assumed that it satisfies the usual OLS conditions, i. e., E ( U < sub > i </ sub >)

One such method is the usual OLS method, which is called the Linear probability model, this is only in case of an independent dummy variable regression.

This is the ( ordinary ) least squares ( OLS ) approach.

When x and the other unmeasured, causal variables collapsed into the term are correlated, however, the OLS estimator is generally biased and inconsistent for β.

In statistics, ordinary least squares ( OLS ) or linear least squares is a method for estimating the unknown parameters in a linear regression model.

The OLS estimator is consistent when the regressors are exogenous and there is no perfect multicollinearity, and optimal in the class of linear unbiased estimators when the errors are homoscedastic and serially uncorrelated.

Under the additional assumption that the errors be normally distributed, OLS is the maximum likelihood estimator.

OLS is used in economics ( econometrics ) and electrical engineering ( control theory and signal processing ), among many areas of application.

This implies that the regression coefficient in an Ordinary Least Squares ( OLS ) regression is biased, however if the correlation is not contemporaneous, then it may still be consistent.

Oulun Luistinseura ( or OLS ) is a Finnish multi-sports club, based in Oulu.

The no. 1 OLS team is nowadays the A-junior team that plays in the A-junior 1-division.

OLS is one of the most successful clubs in Finland and are the only non-Swedish or Russian / Soviet club to have won the Bandy World Cup having won the title in 1976.

Operation Lifeline Sudan ( OLS ) is a consortium of UN agencies ( mainly UNICEF and the World Food Programme ) and approximately 35 NGOs ( Non-governmental organizations ) operating in southern Sudan to provide humanitarian assistance throughout war-torn and drought-afflicted regions in the South.

This occurs because it is more natural for one's mind to consider the orthogonal distances from the observations to the regression line, rather than the vertical ones as OLS method does.

The commercial timesharing services such as CompuServe, On-Line Systems ( OLS ), and Rapidata maintained sophisticated inhouse systems programming groups so that they could modify the operating system as needed for their own businesses without being dependent on DEC or others.

While it does not bias the OLS coefficient estimates, the standard errors tend to be underestimated ( and the t-scores overestimated ) when the autocorrelations of the errors at low lags are positive.

Following an internal outcry, the Sadiq al-Mahdi government in March 1989 agreed with the United Nations and donor nations ( including the US ) on a plan called Operation Lifeline Sudan ( OLS ), under which some 100, 000 tons of food was moved into both government and SPLA-held areas of the Sudan, and widespread starvation was averted.

Oracle has a product named Oracle Label Security ( OLS ) that implements mandatory access controls-typically by adding a ' label ' column to each table in an Oracle database.

Autocorrelation violates the ordinary least squares ( OLS ) assumption that the error terms are uncorrelated.

The OLS estimator remains unbiased, however.

The sample data matrix must have full rank or OLS cannot be estimated.

There are several basic types of discrepancy functions, including maximum likelihood ( ML ), generalized least squares ( GLS ), and ordinary least squares ( OLS ), which are considered the " classical " discrepancy functions.

This method differs from the Ordinary Least Squares ( OLS ) statistical technique that bases comparisons relative to an average producer.

The other two are the Linux Symposium ( commonly known as OLS ) and Linux Kongress.

Phase II of OLS to cover 1990 was approved by both the government and the SPLA Sudan faced a 2-year drought and food shortage across the entire country.

In 1965 Eisenstadt convinced Bernhard to use a statistical method called ordinary least squares ( OLS ) regression analysis to replace Bernhard's visual method of fitting cash flow to a price chart.

In 1992 the local shooting club ( Schutterij St. Joseph ) won the OLS.

When the covariates are exogenous, the small-sample properties of the OLS estimator can be derived in a straightforward manner by calculating moments of the estimator conditional on X.

The Sargan test statistic can be calculated as ( the number of observations multiplied by the coefficient of determination ) from the OLS regression of the residuals onto the set of exogenous variables.

The violation causes OLS estimator to be biased and inconsistent.

Ratified in the Republican Party victory in 1952, the Positive State is now evidenced by political campaigns being waged not on whether but on how much social legislation there should be.

A third, one of at least equal and perhaps even greater importance, is now being traversed: American immersion and involvement in world affairs.

I consider it to be my job to expose the public to what is being written today ''.

A new order is thrusting itself into being.

As the dancer is depersonalized, his accouterments are animized, and the combined elements give birth to a new being.

When Heidegger and Sartre speak of a contrast between being and existence, they may be right, I don't know, but their language is too philosophical for me.

Thus jazz is transmuted into something holy, the sacred road to integration of being.

And yet -- a year to a child is an eternity, and in the memory that phase of one's being -- a certain mental landscape -- will seem to have endured without beginning and without end.

All such imitations of negative quality have given rise to a compensatory response in the form of a heroic and highly individualistic humanism: if man can neither know nor love reality as it is, he can at least invent an artistic `` reality '' which is its own world and which can speak to man of purely personal and subjective qualities capable of being known and worthy of being loved.

For Plato, `` imitation '' is twice removed from reality, being a poor copy of physical appearance, which in itself is a poor copy of ideal essence.

It's infuriating, this feeling that one is being picked on, continually, constantly.

Almost nothing is said of Charles' spectacular victories, the central theme being the heroic loyalty of the Swedish people to their idolized king in misfortune and defeat.

But he plunges into yet another, this time with Norway, and is killed in an assault on the fortress of Fredrikshall, being only thirty-six years of age when he died.

he is very close to being a mental case.

( B ) A message runs too great a risk of being distorted if it is to be relayed more than about six consecutive times.

Further, change is a form of motion, it occurs as the act of a being in potency insofar as it is in potency and has not yet reached the terminus of the change.

The young William Faulkner in New Orleans in the 1920's impressed the novelist Hamilton Basso as obviously conscious of being a Southerner, and there is no evidence that since then he has ever considered himself any less so.

The maturity in this point of view lies in its recognition that no basic problem is ever solved without being clearly understood.

The problem is rather to find out what is actually happening, and this is especially difficult for the reason that `` we are busily being defended from a knowledge of the present, sometimes by the very agencies -- our educational system, our mass media, our statesmen -- on which we have had to rely most heavily for understanding of ourselves ''.