arXiv subjects

Mohammad M. Salehi

Publications and source records attributed to Mohammad M. Salehi.

2 recordsLinked to original sources

arXiv2020

Sampling of multiple variables based on partial order set theory

This paper is going to introduce a new method for ranked set sampling with multiple criteria. The method is based on a version of ranked set sampling, introduced by Panahbehagh et al. (2017), which relaxes the restriction of selecting just one individual variable from each ranked set. Under the new method for ranking, elements are ranked in sets based on linear extensions in partial order sets theory, where based on all the variables simultaneously. Results will be evaluated by some simulations and two real case study on economical, medicinal use of flowers and the pollution of herb-layer by Lead, Cadmium, Zinc and Sulfur in regions in the southwest of Germany.

stat.ME↗

arXiv2017

Numerical treatment to a non-local parabolic free boundary problem arising in financial bubbles

In this paper we continue to study a non-local free boundary problem arising in financial bubbles. We focus on the parabolic counterpart of the bubble problem and suggest an iterative algorithm which consists of a sequence of parabolic obstacle problems at each step to be solved, that in turn gives the next obstacle function in the iteration. The convergence of the proposed algorithm is proved. Moreover, we consider the finite difference scheme for this algorithm and obtain its convergence. At the end of the paper we present and discuss computational results.

math.NA↗