This work applies the moment method onto a generic form of kinetic equations, given by the Boltzmann equation, to simplify kinetic models of particle systems. This leads to the moment closure problem which is addressed using entropy-based moment closure techniques utilizing entropy minimization. The resulting moment closure system forms a system of partial differential equations that retain str...

This paper considers new downside risk-aversion models for linear optimization (linear programming) with discrete fuzzy random variables. Through new downside risk measures for fuzzy stochastic optimization problems, possibilistic low partial moment (PLPM) models are constructed by incorporating possibility and necessity measures into classical low partial moment. To provide practical models, t...

We derive tractable necessary and sufficient conditions for the absence of buy-and-hold arbitrage opportunities in a perfectly liquid, one period market. We formulate the positivity of Arrow-Debreu prices as a generalized moment problem to show that this no arbitrage condition is equivalent to the positive semidefiniteness of matrices formed by the market price of tradeable securities and their...

In this paper, the higher-order asymptotic expansion of the moment of extreme from generalized Maxwell distribution is gained, by which one establishes the rate of convergence of the moment of the normalized partial maximum to the moment of the associate Gumbel extreme value distribution.

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Zheng Liu Name of the doctoral dissertation MODELING OF MASS TRANSFER AND REACTIONS WITH THE MOMENT METHOD Publisher School of Chemical Technology Unit Department of Biotechnology and Chemical Technology Series Aalto University publication series DOCTORAL DISSERTATIONS 5/2015 Field of research Chemical Engineering Manuscript s...

A field experiment was conducted to evaluate the effect of planting pattern and irrigation system on antioxidant activity of wheat and Persian clover. The experiment was carried out as a two-factor factorial with three replications. The first factor was irrigation system (conventional and partial root-zone irrigation) and the second was planting pattern (sole wheat, sole Persian clover, alterna...

in recent years, different damage indexes have been introduced in engineering literature. the most prominent one among other counterparts is the 1985 park and ang's damage index (dipa), which demonstrates well calibration against experimental results. hence, it has traditionally had broad application in the field of structural engineering. commonly, in dipa relevant parameters are assessed...