Determination the different categories of buyers based on the Jaynes’ information principle

Purpose: The article aims to reduce the volume of statistical data, necessary for determination the buyer’s structure. The correct clustering of clients is important for successful activity for both commercial and non-profit organizations. This issue is devoted to a large number of studies. Their main mathematical apparatus is statistical methods. Input data are results of buyer polls. Polls are labor-consuming and quite often annoying buyers. The problem of determination of structure (various categories) of buyers by the mathematical methods demanding a small amount of these polls is relevant. Design/Methodology/Approach: The approach offered in this report based on the Jaynes' information principle (principle of maximum entropy). Jaynes idea is as follows. Let us consider a system in which the conditions cannot be calculated or measured by an experiment. However, each state of the system has a certain measured implication, the average value of which is known (or can be defined), and the average result of these implications is known from the statistical data. Then the most objective are probabilities of states maximizing Shannon’s entropy under restrictions imposed by information about average implications of states. Findings: In this work the task of determination of percentage of buyers for computer shop by the average check is set and solved provided that average checks for each concrete category of buyers are known. Input data for calculation are their average checks. Determination of these values requires much less statistical data, than to directly determine relative number of buyers of various categories. Practical Implications: The results are of particular interest to marketing experts. Originality/Value: The article deals with practical situation when initially there are only three different groups of customers. For this case, the problem of maximizing entropy under given constraints reduced to the problem of finding a solution to a system of three equations, of which only one is nonlinear. This is a completely new result.peer-reviewe

Israeli politics and the occupied territories: what\u27s ahead in 2004

Traditional Israeli conservative politics on the one hand and strong public support for a fence on the other, have left Prime Minister Ariel Sharon between a rock and a hard place for his proposed plan of separation between Israel and the Occupied Territories. If he leaves his postion, it’s unclear who would take over

Who are the settlers?

Settlers are well educated, politically connected and enjoying high living standards. Therefore, convincing Israeli settlers to consent to a relocation will be difficult. Certain Macro Projects could facilitate this

Recent or on-going development projects in the Gaza Strip

Update on projects in the Gaza Strip includes project name, number, and loan size as well as a short description. Projects include Southern Area Water, Education Action, and Gaza Emergency Water as well as others

Home, home again: Palestinian refugees and a Halutza-like swap

A third of the Palestinians just in Gaza are living in refugee camps. The disposition of these refugees, and the Palestinian assertion of a “right of return” to Israel is a hugely contentious issue. The Palestinian acquisition of the Halutza sand dunes through land swaps could confer a great deal of benefit regarding the refugee issue and others

The Negev Desert: a viable Israeli resettlement option?

On Feb. 9, 2004, Israeli Infrastructure Minister Yosef Paritzsky suggested that the 7,500 Israeli settlers who are to be removed from the Gaza Strip under Prime Minister Sharon’s disengagement plan could be housed in the 13,000 empty apartments available in the Negev Desert. The Negev “Desert Cities” plan isn’t a perfect option, but it will allow the settlers to move into high-quality housing rapidly. While at least some settlers will almost certainly have to live in existing apartment housing during the construction of the Negev settlements, this plan offers the best chance of ensuring that the apartment housing will be only a temporary solution

Simulations of Incompressible MHD Turbulence

We simulate incompressible MHD turbulence in the presence of a strong background magnetic field. Our major conclusions are: 1) MHD turbulence is most conveniently described in terms of counter propagating shear Alfven and slow waves. Shear Alfven waves control the cascade dynamics. Slow waves play a passive role and adopt the spectrum set by the shear Alfven waves, as does a passive scalar. 2) MHD turbulence is anisotropic with energy cascading more rapidly along k_perp than along k_parallel, where k_perp and k_parallel refer to wavevector components perpendicular and parallel to the local magnetic field. Anisotropy increases with increasing k_perp. 3) MHD turbulence is generically strong in the sense that the waves which comprise it suffer order unity distortions on timescales comparable to their periods. Nevertheless, turbulent fluctuations are small deep inside the inertial range compared to the background field. 4) Decaying MHD turbulence is unstable to an increase of the imbalance between the flux of waves propagating in opposite directions along the magnetic field. 5) Items 1-4 lend support to the model of strong MHD turbulence by Goldreich & Sridhar (GS). Results from our simulations are also consistent with the GS prediction gamma=2/3. The sole notable discrepancy is that 1D power law spectra, E(k_perp) ~ k_perp^{-alpha}, determined from our simulations exhibit alpha ~ 3/2, whereas the GS model predicts alpha = 5/3.Comment: 56 pages, 30 figures, submitted to ApJ 59 pages, 31 figures, accepted to Ap

Managing trade-offs in landscape restoration and revegetation projects

Landscape restoration projects often have multiple and disparate conservation, resource enhancement and sometimes economic objectives, since projects that seek to meet more than one objective tend to be viewed more positively by funding agencies and the community. The degree to which there are tradeoffs among desired objectives is an important variable for decision-makers, yet this is rarely explicitly considered. In particular, the existence of ecological thresholds has important implications for decision-making at both the project level and the regional level. We develop a model of the possibilities and choices for an agency seeking to achieve two environmental objectives in a region through revegetation of a number of sites. A graphical model of the production possibilities sets for a single revegetation project is developed and different tradeoff relationships are discussed and illustrated. Then the model is used to demonstrate the possibilities for managing all such projects within a region. We show that where there are thresholds in the tradeoff relationship between two objectives, specialization (single- or dominant- objective projects) should be considered. This is illustrated using a case study in which revegetation is used to meet avian biodiversity and salinity mitigation objectives. We conclude that where there are sufficient scientific data, explicit consideration of different types of tradeoffs can assist in making decisions about the most efficient mix and type of projects to better achieve a range of objectives within a region