Classical retrieval and overlap measures satisfy the requirements for rankings based on a Lorenz curve
نویسندگان
چکیده
Classical information retrieval and overlap measures such as the Jaccard index, the Dice coefficient and Salton’s cosine measure can be characterized by Lorenz curves. This result demonstrates the existence of a formal link between information retrieval and the information sciences on the one hand, and concentration and diversity theory, as used, e.g., in social economics and ecology on the other. 2004 Elsevier Ltd. All rights reserved.
منابع مشابه
Methods for Parameter Estimation of the Lorenz Functional Forms and Compare Them Based on Household Expenses Data
In the modern society and specially in our country discussion of poverty, wealth and social justice are the most important arguments of public and private circles. The most important graphical tools which are used to describe the quantity of centralization like wealth in a society is Lorenz curve. In these situations, most of econometricians measure the economic inequalities. In the discrete ca...
متن کاملParametric Lorenz Curves and its Relationship with Reliability Indicators
The problem of poverty can not be considered without paying care to the topic of income distribution. In fact, the concept of poverty refers to the lowest class in the distribution of income, and inequality in the income distribution is related to all stages of society. Based on the income distributions that are unfairly priced, many indices have been developed to measure the size of inequality...
متن کاملAsymptotic Behaviors of the Lorenz Curve for Left Truncated and Dependent Data
The purpose of this paper is to provide some asymptotic results for nonparametric estimator of the Lorenz curve and Lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation. First, we show that nonparametric estimator of the Lorenz curve is uniformly strongly consistent for the associated Lorenz curve. Also, a strong Gaussian approximation for ...
متن کاملMultivariate Lorenz dominance based on zonoids∗
The classical Lorenz curve visualizes and measures the disparity of items which are characterized by a single variable: The more the curve bends, the more scatter the data. Recently a general approach has been proposed and investigated that measures the disparity of multidimensioned items regardless of their dimension. This paper surveys various generalizations of Lorenz curve and Lorenz domina...
متن کاملDesign and Simulation of Adaptive Neuro Fuzzy Inference Based Controller for Chaotic Lorenz System
Chaos is a nonlinear behavior that shows chaotic and irregular responses to internal and external stimuli in dynamic systems. This behavior usually appears in systems that are highly sensitive to initial condition. In these systems, stabilization is a highly considerable tool for eliminating aberrant behaviors. In this paper, the problem of stabilization and tracking the chaos are investigated....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Inf. Process. Manage.
دوره 42 شماره
صفحات -
تاریخ انتشار 2006