TY - GEN
T1 - Estimating the probability distributions of alloy impact toughness
T2 - A constrained quantile regression approach
AU - Golodnikov, Alexandr
AU - MacHeret, Yevgeny
AU - Trindade, A. Alexandre
AU - Uryasev, Stan
AU - Zrazhevsky, Grigoriy
PY - 2007
Y1 - 2007
N2 - We extend our earlier work, Golodnikov et al [3] and Golodnikov et al [4], by estimating the entire probability distributions for the impact toughness characteristic of steels, as measured by Charpy V-Notch (CVN) at -84°C. Quantile regression, constrained to produce monotone quantile function and unimodal density function estimates, is used to construct the empirical quantiles as a function of various alloy chemical composition and processing variables. The estimated quantiles are used to produce an estimate of the underlying probability density function, rendered in the form of a histogram. The resulting CVN distributions are much more informative for alloy design than singular test data. Using the distributions to make decisions for selecting better alloys should lead to a more effective and comprehensive approach than the one based on the minimum value from a multiple of the three test, as is commonly practiced in the industry.
AB - We extend our earlier work, Golodnikov et al [3] and Golodnikov et al [4], by estimating the entire probability distributions for the impact toughness characteristic of steels, as measured by Charpy V-Notch (CVN) at -84°C. Quantile regression, constrained to produce monotone quantile function and unimodal density function estimates, is used to construct the empirical quantiles as a function of various alloy chemical composition and processing variables. The estimated quantiles are used to produce an estimate of the underlying probability density function, rendered in the form of a histogram. The resulting CVN distributions are much more informative for alloy design than singular test data. Using the distributions to make decisions for selecting better alloys should lead to a more effective and comprehensive approach than the one based on the minimum value from a multiple of the three test, as is commonly practiced in the industry.
UR - http://www.scopus.com/inward/record.url?scp=53749084492&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-48271-0_16
DO - 10.1007/978-3-540-48271-0_16
M3 - Conference contribution
AN - SCOPUS:53749084492
SN - 9783540482703
T3 - Lecture Notes in Economics and Mathematical Systems
SP - 269
EP - 283
BT - Cooperative Systems
A2 - Grundel, Don
A2 - Pardalos, Panos
A2 - Murphey, Robert
A2 - Prokopyev, Oleg
ER -