A consideration about picking up the `best' values from N times experiences. Mathematically, the author considered "how the maximum value of N values that are distributed normally distributes?". The median values are 0.998, 1.498, 1.998 for N=4,10,30, respectively.
This proposition would be useful because everybody quite often is in need of choosing something best from multiple candidates in their daily or social life. The figures shown above are easy to remember so you can utilize them with ease.
Theory to consider an inaccurate testing and how to determine the prior proba...Toshiyuki Shimono
I presented a mathematical theory on a medical testing method. This fundamental theory can be taken account of both cases when the resource of the testing is limited or not. One implication is that "negative proof" may not function well, and another implication is that excessively high specificity and accuracy are required for meaningful diagnosis unless the careful usage of the diagnosis is considered.
To Make Graphs Such as Scatter Plots Numerically Readable (PacificVis 2018, K...Toshiyuki Shimono
Different-sized discrete crosses placed in an organized lattice pattern can assist the human eyes to read numerical values on statistical graphs, enabling more precise interpretation and enlarging the utility of statistical graphs that visually represent numerical quantities. This paper presents a novel graph-plotting method that places roughly ten thousand of separated grids on a graph, providing human data analysis with an easy access to arbitrary numerical readouts from a statistical graph. At present, this functionality has been lacking in the existing graph-plotting softwares.
To Make Graphs Such as Scatter Plots Numerically Readable (PacificVis 2018, K...Toshiyuki Shimono
Different-sized discrete crosses placed in an organized lattice pattern can assist the human eyes to read numerical values on statistical graphs, enabling more precise interpretation and enlarging the utility of statistical graphs that visually represent numerical quantities. This paper presents a novel graph-plotting method that places roughly ten thousand of separated grids on a graph, providing human data analysis with an easy access to arbitrary numerical readouts from a statistical graph. At present, this functionality has been lacking in the existing graph-plotting softwares.
Make Accumulated Data in Companies Eloquent by SQL Statement Constructors (PDF)Toshiyuki Shimono
Presented at IEEE BigData 2017, Boston, on Dec 11, 2017
in the Workshop of "3rd International Workshop on Methodologies to Improve Big Data projects".
The author is Toshiyuki Shimono, Digital Garage, Inc.
(This is PDF format instead of MS Powerpoint format for the sake of significantly smaller file size.)
2. Statement :
Assume Norm + ( m,s 2 ) be the distribution of the maximum value of
N
N stochastic variables distributed normally with mean m and variance s 2 .
Then for N = 4, 10, 30, each median value of Norm + (0,1) are,
N
approximately 0.9981, 1.4988, 1.9982, that are rounded down to
0.998, 1.498, 1.998, respectively. These are easy to remember as
1-e , 1.5-e , 2-e for N = 4, 10, 30 with e =0.002, thus possibly very useful
for your daily and social life. These numeric figures are calculated from
billions of Mersenne Twister psudo-ranom numbers using R language.