We develop a convex approximation for two-stage mixed-integer recourse models and we derive an error bound for this approximation that depends on all total variations of the probability density functions of the random variables in the model. We show that the error bound converges to zero if all these total variations converge to zero. Our convex approximation is a generalization of the one in C...

abstract surface soil shear strength is an effective parameter in soil erosion and runoff modeling, and known as soil erodibility index. this study was conducted to investigate and predict soil shear strength in central zagros region using multiple linear regressions (mlr). the study site was selected in rangeland and degraded-rangeland landuse with an area of 23562 ha. based on the maps of geo...

We study the detection error probability associated with balanced binary relay trees, in which sensor nodes fail with some probability. We consider N identical and independent crummy sensors, represented by leaf nodes of the tree. The root of the tree represents the fusion center, which makes the final decision between two hypotheses. Every other node is a relay node, which fuses at most two bi...

Using majorization theory via “Robin Hood” elementary operations, optimal lower and upper bounds are derived on Rényi guessing entropies with respect to either error probability (yielding reverse-Fano Fano inequalities) or total variation distance the uniform reverse-Pinsker Pinsker inequalities). This gives a general picture of how notion randomness can be measured in many areas computer scien...

We present an analytical formulation to compute the total-backscatter range-dependent error bars from the well-known Klett's elastic-lidar inversion algorithm. A combined error-propagation and statistical formulation approach is used to assess inversion errors in response to the following error sources: observation noise (i.e., signal-to-noise ratio) in the reception channel, the user's uncerta...

We develop a convex approximation for two-stage mixed-integer recourse models and we derive an error bound for this approximation that depends on all total variations of the probability density functions of the random variables in the model. We show that the error bound converges to zero if all these total variations converge to zero. Our convex approximation is a generalization of the one in C...

Numerous outcome measures can be used to characterize and compare the performance of alternative quality-control (QC) strategies. The performance measure traditionally used in the QC planning process is the probability of rejecting an analytical run when a critical out-of-control error condition exists. Another performance measure that naturally fits within the total allowable error paradigm is...