Given n points in the plane and an integer k, the slope selection problem is to nd the pair of points whose connecting line has the k-th smallest slope. (In dual setting, given n lines in the plane, we want to nd the vertex of their arrangement with the k-th smallest x-coordinate.) Cole et al. 6] have given an O(n log n) solution (which is optimal), using the parametric searching technique of M...

This paper explores a natural decomposition property motivated by Shorrocks (1980, Econometrica 48, 613 625) and Anand (1983, ``Inequality and poverty in Malaysia,'' Oxford University Press) that we call path independent decomposability. Between-group inequality is found by applying the inequality measure to the smoothed distribution, which replaces each income in a subgroup with its representa...

We show that search frictions can be the source of increasing returns to scale (IRS) that brings people together in big cities. We develop a model of an economy with several regions, which differ in scale. Within each region, workers have to search for a job-type that matches their skill. They face a trade-off between match quality and the cost of extended search. This trade-off differs between...

The Mediterranean Basin, located in a transition zone between the temperate and rainy climate of central Europe arid North Africa, is considered major hotspot change, subject to water scarcity drought. In this work, dry wet spells have been analyzed Wadi Cheliff basin (Algeria) by means annual precipitation observed at 150 rain gauges period 1970–2018. particular, characteristics (frequency, du...

Least squares regression of y on x assumes that the x variate is measured without error, and minimizes the sum of squared vertical distance between the data points y and the fitted regression line. Regression of x on y minimizes the horizontal distances. Adcock [1] in 1878 suggested minimizing the sum of squared horizontal + vertical distances to the predicted values. However the idea of Adcock...

(1) Acromegaly (Benoit, Theil, and Watten, 1963). (2) Paget's disease of bone (Benoit and others, 1963). (3) Hyperthyroidism (Sjoerdsma, Udenfriend, Keiser, and LeRoy, 1965). (4) Marfan's syndrome (Sjoerdsma, Davidson, Udenfriend, and Mitoma, 1958). (5) Hyperparathyroidism (Benoit and others, 1963; Laitinen, Nikkikii, and Kivirikko, 1966). (6) Primary and metastatic bone tumours (Hosley, Taft, ...

Automatic estimation of velocities from GPS coordinate time series is becoming required to cope with the exponentially increasing flood of available data, but problems detectable to the human eye are often overlooked. This motivates us to find an automatic and accurate estimator of trend that is resistant to common problems such as step discontinuities, outliers, seasonality, skewness, and hete...

Maintaining a software system resembles renovating a house: it usually takes longer and costs more than planned. Similarly to a house owner identifying potential problems before renovation, a software owner should assess maintainability of software before renovating or extending it. To measure maintainability one often applies metrics, associating software artifacts with numbers. Unfortunately,...