Title :
Eighty Univariate Distributions and Their Relationships Displayed in a Matrix Format
Author :
Song, Wheyming Tina ; Chen, Yi-Chun
Author_Institution :
Dept. of Ind. Eng. & Eng. Manage., Nat. Tsing Hua Univ., Hsinchu, Taiwan
Abstract :
This work improves upon previously published results by depicting 80 probability distributions in one user-friendly ten-by-eight matrix format. The figure is logically organized and thereby allows users to easily locate a particular distribution. A simplified five-by-five matrix, showing only 25 families, is designed for more elementary needs. These distributions and associated relationships provide rapid access to information that must otherwise be found through a time-consuming search of numerous sources.
Keywords :
matrix algebra; statistical distributions; five-by-five matrix; probability distribution; univariate distribution; user friendly ten-by-eight matrix format; Convolution; Logistics; Manganese; Organizing; Random variables; Shape; Random processes; transformations of random variables; univariate distributions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2146870