The focus of this paper is to consider the compressed sensing problem. It is stated that the compressed sensing theory, under certain conditions, helps relax the Nyquist sampling theory and takes smaller samples. One of the important tasks in this theory is to carefully design measurement matrix (sampling operator). Most existing methods in the literature attempt to optimize a randomly initiali...

This paper provides an updated review of Monte Carlo simulation. The use of random sampling, its consequences in simulation, the use of descriptive sampling, its advantages, its limits and its improvement upon the precision of simulation estimates: Refined descriptive sampling. This state of the art gives also an insight into other sampling procedures used in the literature, like Ranked set sam...

We consider two types of convex approximations of two-stage totally unimodular integer recourse models. Although worst-case error bounds are available for these approximations, their actual performance has not yet been investigated, mainly because this requires solving the original recourse model. In this chapter we assess the quality of the approximating solutions using Monte Carlo sampling, o...

objectives: this study was done to assess the some factors which influence on fruit and vegetable consumption among iranian's elderly. methods and materials: this study was a cross sectional study which was done on 400 elderly people through a two stages sampling method. 10 elderly centers were selected from all of elderly centers in tehran. during second stage, a systematic random samplin...

In sampling theory, a wide variety of techniques is used to obtain efficient estimators for the population mean. The commonly used method to obtain the estimator for population mean is simple random sampling without replacement (SRSWOR) when there is no auxiliary variable available. There are methods that use the auxiliary information of the study characteristics. If there exists an auxiliary v...

We augment the mechanism used in Nash implementation with a political process that collects the opinions of a subset of individuals with a fixed probability distribution. The outcome is a function of only the collected opinions. We show that the necessary – and sometimes sufficient – condition for implementation by a specific political process can be either weaker or stronger than Maskin monoto...