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[2] viXra:2107.0131 [pdf] submitted on 2021-07-23 19:10:35
Authors: Glenn Healey, Shiyuan Zhao
Comments: 31 Pages.
An important and challenging problem in the evaluation of baseball players is the quan-
tification of batted-ball talent. This problem has traditionally been addressed using linear
regression on the value of a statistic derived from a set of observations. We use large sets
of trajectory measurements acquired by in-game sensors to show that the predictive value
of a batted ball depends on its physical properties. This knowledge is exploited to estimate batted-ball distributions defined over a multidimensional measurement space from observed
distributions by using regression parameters that adapt to batted ball properties. This
process is central to a new method for estimating batted-ball talent. The domain of the
batted-ball distributions is defined by a partition of measurement space that is selected to
optimize the accuracy of the estimates. We present examples illustrating facets of the new
approach and use a set of experiments to show that the new method generates estimates
that are significantly more accurate than those generated using current methods. The new
methodology supports the use of fine-grained contextual adjustments and we show that this
process further improves the accuracy of the technique.
Category: Statistics
[1] viXra:2107.0031 [pdf] submitted on 2021-07-05 20:36:40
Authors: Joh. J. Sauren, Aloys J. Sipers
Comments: 8 Pages. [Corrections made by viXra Admin to conform with the requirements of viXra.org]
In this article, the Matlab program proposed in the article viXra:2103.0018 is improved. Further, the constant d3 depends on the constants d2 and a3. Three theorems are stated on the generating functions for the constants d2 and a3. The first two theorems provide analytical expressions for these generating functions, whereas the third theorem relates them.
Category: Statistics
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