Title
Johnson Quantile-Parameterized Distributions
Abstract
It is common decision analysis practice to elicit quantiles of continuous uncertainties and then fit a continuous probability distribution to the corresponding probabilityquantile pairs. This process often requires curve fitting and the best-fit distribution will often not honor the assessed points. By strategically extending the Johnson Distribution System, we develop a new distribution system that honors any symmetric percentile triplet of quantile assessments (e.g., the 10th-50th-90th) in conjunction with specified support bounds. Further, our new system is directly parameterized by the assessed quantiles and support bounds, eliminating the need to apply a fitting procedure. Our new system is practical, flexible, and, as we demonstrate, able to match the shapes of numerous commonly named distributions.
Year
DOI
Venue
2017
10.1287/deca.2016.0343
DECISION ANALYSIS
Keywords
DocType
Volume
uncertainty, subjective probability, modeling, decision analysis, quantile function
Journal
14
Issue
ISSN
Citations 
1
1545-8490
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Christopher C. Hadlock100.68
J. Eric Bickel211112.96