Directly solving the ordinary least squares problem will (in general) require O(nd) operations. From Table 5.1, the Gaussian sketch does not actually improve upon this scaling for unconstrained problems: when m d (as is needed in the unconstrained case), then computing the sketch SA requires O(nd) operations as well. If we compute sketches using the JLT, then this cost is reduced to O(nd log(d)...

Previously identified predictors of public punitiveness include attitudinal, experiential, background, and demographic characteristics. Given the influence of parenthood on certain attitudes and beliefs, it may also affect how strongly individuals endorse harsh punishment for criminals. Few studies have explored how parenthood influences general policy preferences or support for criminal justic...

When independent variables have high linear correlation in a multiple linear regression model, we can have wrong analysis. It happens if we do the multiple linear regression analysis based on common Ordinary Least Squares (OLS) method. In this situation, we are suggested to use ridge regression estimator. We conduct some simulation study to compare the performance of ridge regression estimator ...

The present article deals with the problem of estimation of parameters in a linear regression model when some data on response variable is missing and the responses are equicorrelated. The ordinary least squares and optimal homogeneous predictors are employed to nd the imputed values of missing observations. Their eeciency properties are analyzed using the small disturbances asymptotic theory. ...

A robust version of the Ordinary Least Squares accommodating the idea of weighting the order statistics of the squared residuals (rather than directly the squares of residuals) is recalled and its properties are studied. The existence of solution of the corresponding extremal problem and the consistency under heteroscedasticity is proved. 1. BASIC FRAMEWORK AND WEIGHTING THE ORDER STATISTICS Le...

We show that previous results on the asymptotic e ciency of OLS versus GLS in the context of trending data carry over to regressors of the fractionally integrated type

The creative capital possessed by the members of the creative class in region is either acquired through education or present innately in these members. Therefore, the creative infrastructure in the region is the sum of a part representing creative capital obtained through education and a second part denoting creative capital present innately in the creative class members. A researcher wishes t...

This note formalizes bias and inconsistency results for ordinary least squares (OLS) on the linear probability model and provides sufficient conditions for unbiasedness and consistency to hold. The conditions suggest that a btrimming estimatorQ may reduce OLS bias. D 2005 Elsevier B.V. All rights reserved.