Exact Bounds on Finite Populations of Interval Data

Exact Bounds on Finite Populations of Interval Data

In this paper, we start research into using intervals to bound the impact of bounded measurement errors on the computation of bounds on finite population parameters (“descriptive statistics”). Specifically, we provide a feasible (quadratic time) algorithm for computing the lower bound σ on the finite population variance function of interval data. We prove that the problem of computing the upper...

Computing Exact Componentwise Bounds on Solutions of Lineary Systems with Interval Data is NP-Hard

We prove that it is NP-hard to compute the exact componentwise bounds on solutions of all the linear systems which can be obtained from a given linear system with a nonsingular matrix by perturbing all the data independently of each other within prescribed tolerances.

Efficiency Evaluation and Ranking DMUs in the Presence of Interval Data with Stochastic Bounds

On account of the existence of uncertainty, DEA occasionally faces the situation of imprecise data, especially when a set of DMUs include missing data, ordinal data, interval data, stochastic data, or fuzzy data. Therefore, how to evaluate the efficiency of a set of DMUs in interval environments is a problem worth studying. In this paper, we discussed the new method for evaluation and ranking i...

efficiency evaluation and ranking dmus in the presence of interval data with stochastic bounds

on account of the existence of uncertainty, dea occasionally faces the situation of imprecise data, especially when a set of dmus include missing data, ordinal data, interval data, stochastic data, or fuzzy data. therefore, how to evaluate the efficiency of a set of dmus in interval environments is a problem worth studying. in this paper, we discussed the new method for evaluation and ranking i...

Laws of Scarcity for a Finite Game: Exact Bounds on Estimations