Majorization and Approximate Majorization for Families of Measures, Applications to Local Comparison of Experiments and the Theory of Majorization of Vectors in Rn (Schur Convexity)

Wildland fires and wildland urban-interface (WUI) fires have become a significant problem in recent years. The mechanisms of home ignition in WUI fires are direct flame contact, thermal radiation, and firebrand attack. Out of these three fire spread factors, firebrands are considered to be a main driving force for rapid fire spread as firebrands can fly far from the fire front and ignite structures. The limited experimental data on firebrand showers limits the ability to design the next generation of communities to resist WUI fires to these types of exposures. The objective of this paper is to summarize, compare, and reconsider the results from previous experiments, to provide new data and insights to prevent home losses from firebrands in WUI fires. Comparison of different combustible materials around homes revealed that wood decking assemblies may be ignited within similar time to mulch under certain conditions.

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Local comparison of empirical distributions via nonparametric regression

Journal of Statistical Computation and Simulation ◽

10.1080/00949655.2014.929133 ◽

2014 ◽

Vol 85 (12) ◽

pp. 2384-2405 ◽

Cited By ~ 2

Author(s):

A. Antoniadis ◽

I.K. Glad ◽

H. Mohammed

Keyword(s):

Nonparametric Regression ◽

Empirical Distributions ◽

Local Comparison

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Schur-convexity for compositions of complete symmetric function dual

Journal of Inequalities and Applications ◽

10.1186/s13660-020-02334-8 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Huan-Nan Shi ◽

Pei Wang ◽

Jian Zhang

Keyword(s):

Symmetric Function ◽

Complete Symmetric Function ◽

Schur Convexity

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Oscillations Modulating Power Law Exponents in Isotropic Turbulence: Comparison of Experiments with Simulations

Physical Review Letters ◽

10.1103/physrevlett.126.254501 ◽

2021 ◽

Vol 126 (25) ◽

Author(s):

Kartik P. Iyer ◽

Gregory P. Bewley ◽

Luca Biferale ◽

Katepalli R. Sreenivasan ◽

P. K. Yeung

Keyword(s):

Power Law ◽

Isotropic Turbulence ◽

Comparison Of Experiments

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Two Remarks on Blackwell's Theorem

Journal of Applied Probability ◽

10.1017/s0021900200004459 ◽

2008 ◽

Vol 45 (02) ◽

pp. 580-586 ◽

Cited By ~ 1

Author(s):

Ehud Lehrer ◽

Eran Shmaya

Keyword(s):

Decision Maker ◽

Information Structure ◽

Decision Problem ◽

Partial Information ◽

The Other ◽

Actual State ◽

Information Structures ◽

Comparison Of Experiments ◽

Classical Characterization ◽

Blackwell's Theorem

In a decision problem with uncertainty a decision maker receives partial information about the actual state via an information structure. After receiving a signal, he is allowed to withdraw and gets zero profit. We say that one structure is better than another when a withdrawal option exists if it may never happen that one structure guarantees a positive profit while the other structure guarantees only zero profit. This order between information structures is characterized in terms that are different from those used by Blackwell's comparison of experiments. We also treat the case of a malevolent nature that chooses a state in an adverse manner. It turns out that Blackwell's classical characterization also holds in this case.

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