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  2. Distance from a point to a line - Wikipedia

    en.wikipedia.org/.../Distance_from_a_point_to_a_line

    The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.

  3. Mean line segment length - Wikipedia

    en.wikipedia.org/wiki/Mean_line_segment_length

    In geometry, the mean line segment length is the average length of a line segment connecting two points chosen uniformly at random in a given shape. In other words, it is the expected Euclidean distance between two random points, where each point in the shape is equally likely to be chosen.

  4. Distance sampling - Wikipedia

    en.wikipedia.org/wiki/Distance_sampling

    All x from the survey are used to model how detectability decreases with distance from the transect, which allows estimation of total population density in the surveyed area. A common approach to distance sampling is the use of line transects. The observer traverses a straight line (placed randomly or following some planned distribution).

  5. Hesse normal form - Wikipedia

    en.wikipedia.org/wiki/Hesse_normal_form

    Distance from the origin O to the line E calculated with the Hesse normal form. Normal vector in red, line in green, point O shown in blue. In analytic geometry, the Hesse normal form (named after Otto Hesse) is an equation used to describe a line in the Euclidean plane, a plane in Euclidean space, or a hyperplane in higher dimensions.

  6. Statistical distance - Wikipedia

    en.wikipedia.org/wiki/Statistical_distance

    In statistics, probability theory, and information theory, a statistical distance quantifies the distance between two statistical objects, which can be two random variables, or two probability distributions or samples, or the distance can be between an individual sample point and a population or a wider sample of points. A distance between ...

  7. DFFITS - Wikipedia

    en.wikipedia.org/wiki/DFFITS

    In statistics, DFFIT and DFFITS ("difference in fit(s)") are diagnostics meant to show how influential a point is in a linear regression, first proposed in 1980. [ 1 ] DFFIT is the change in the predicted value for a point, obtained when that point is left out of the regression:

  8. Nearest neighbour distribution - Wikipedia

    en.wikipedia.org/wiki/Nearest_neighbour_distribution

    In probability and statistics, a nearest neighbor function, nearest neighbor distance distribution, [1] nearest-neighbor distribution function [2] or nearest neighbor distribution [3] is a mathematical function that is defined in relation to mathematical objects known as point processes, which are often used as mathematical models of physical phenomena representable as randomly positioned ...

  9. Minimum distance - Wikipedia

    en.wikipedia.org/wiki/Minimum_distance

    The term minimum distance may refer to Minimum distance estimation, a statistical method for fitting a model to data; Closest pair of points problem, the algorithmic problem of finding two points that have the minimum distance among a larger set of points; Euclidean distance, the minimum length of any curve between two points in the plane