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The confidence region is calculated in such a way that if a set of measurements were repeated many times and a confidence region calculated in the same way on each set of measurements, then a certain percentage of the time (e.g. 95%) the confidence region would include the point representing the "true" values of the set of variables being estimated.
And in reality, actually, it would not even be an ellipse, but a close approximation of ellipse, more like a shape of an egg. The probability target areas of balistic vehicles are usually given as two distances, one in the direction of trajectory between minimum and maximum probability points, and a shorter one as a cross section of that.
The "68–95–99.7 rule" is often used to quickly get a rough probability estimate of something, given its standard deviation, if the population is assumed to be normal. It is also used as a simple test for outliers if the population is assumed normal, and as a normality test if the population is potentially not normal.
In probability and statistics, an elliptical distribution is any member of a broad family of probability distributions that generalize the multivariate normal distribution. Intuitively, in the simplified two and three dimensional case, the joint distribution forms an ellipse and an ellipsoid, respectively, in iso-density plots.
GPS signals can also be affected by multipath issues, where the radio signals reflect off surrounding terrain; buildings, canyon walls, hard ground, etc. These delayed signals cause measurement errors that are different for each type of GPS signal due to its dependency on the wavelength.
The prime-time speech on the Ellipse comes amid rising anxiety from some over how much time Harris is devoting to disqualify Trump compared with what she would do if elected. The Tuesday night ...
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