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Home > Art, Film & Photography > Estimation of Densities: Histogram, Kernel Density Estimation, Cluster-Weighted Modeling, Mean Integrated Squared Error
Estimation of Densities: Histogram, Kernel Density Estimation, Cluster-Weighted Modeling, Mean Integrated Squared Error

Estimation of Densities: Histogram, Kernel Density Estimation, Cluster-Weighted Modeling, Mean Integrated Squared Error


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Chapters: Histogram, Kernel Density Estimation, Cluster-Weighted Modeling, Mean Integrated Squared Error. Source: Wikipedia. Pages: 30. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: In statistics, a histogram is a graphical display of tabular frequencies, shown as adjacent rectangles. Each rectangle is erected over an interval, with an area equal to the frequency of the interval. The height of a rectangle is also equal to the frequency density of the interval, i.e. the frequency divided by the width of the interval. The total area of the histogram is equal to the number of data. A histogram may also be based on the relative frequencies instead. It then shows what proportion of cases fall into each of several categories (a form of data binning), and the total area then equals 1. The categories are usually specified as consecutive, non-overlapping intervals of some variable. The categories (intervals) must be adjacent, and often are chosen to be of the same size, but not necessarily so. Histograms are used to plot density of data, and often for density estimation: estimating the probability density function of the underlying variable. The total area of a histogram used for probability density is always normalized to 1. If the length of the intervals on the x-axis are all 1, then a histogram is identical to a relative frequency plot. An alternative to the histogram is kernel density estimation, which uses a kernel to smooth samples. This will construct a smooth probability density function, which will in general more accurately reflect the underlying variable. The histogram is one of the seven basic tools of quality control. An example histogram of the heights of 31 Black Cherry trees.The etymology of the word histogram is uncertain. Sometimes it is said to be derived from the Greek histos '...More: http: //booksllc.net/?id=1326


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Product Details
  • ISBN-13: 9781156966716
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Histogram, Kernel Density Estimation, Cluster-Weighted Modeling, Mean Integrated Squared Error
  • Width: 229 mm
  • ISBN-10: 115696671X
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Spine Width: 2 mm
  • Weight: 59 gr


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