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gintreg: Generalized interval regression

The Stata Journal: Promoting communications on statistics and Stata
Many important research questions involve regression models in which the dependent variable is censored or reported in intervals rather than as a numerical value. A common approach to treating these problems is to assume that the data correspond to a certain distribution (for example, a normal distribution) and then apply maximum ...
James B. McDonald, Jacob Triplett
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Sieve-Generated Sequences with Translated Intervals

Canadian Journal of Mathematics, 1967
Consider the following sieve process. Let A(1) be the sequence of integers greater than 1. Let A(n+1) be obtained from A(n) = {a1(n), a2(n), …} by eliminating one element from each of the intervals Ik(n), whereWe let an = an(n) and A = {an} be the sequence of integers that survive the sieve. M. C.
Buschman, R. G., Wunderlich, M. C.
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On interval additive generators of interval overlap functions and interval grouping functions

Fuzzy Sets and Systems, 2017
Overlap functions and grouping functions are generalizations of continuous t-norms and t-conorms, respectively, when associativity is dropped. These functions can be applied in decision making, classification or image processing. In this paper, the authors introduce interval overlap functions and interval grouping functions and show their properties ...
Junsheng Qiao, Bao Qing Hu
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Tropical Generalized Interval Systems

2019
This paper aims to refine the formalization of David Lewin’s Generalized Interval System (GIS) by the means of tropical semirings. Such a new framework allows to broaden the GIS model introducing a new operation and consequently new musical and conceptual insights and applications, formalizing consistent relations between musical elements in an ...
Giovanni Albini, Marco Paolo Bernardi
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Confidence Intervals for the Generalized ROC Criterion

Biometrics, 1997
Receiver operating characteristic (ROC) curves are frequently used to assess the usefulness of diagnostic markers. When several diagnostic markers are available, they can be combined by a best linear combination: that is, when the area under the ROC curve of this combination is maximized among all possible linear combinations.
Reiser, Benjamin, Faraggi, David
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Generating fuzzy intervals using gradual intervals and gradual numbers

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalizations of Interval Orders

1984
Abstract We survey sone recent, yet unpublished results that generalize interval and semi orders in three directions: (i) multiple thresholds, (ii) partial structures, (iii) infinite underlying set.
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A generalized interval arithmetic

1975
We have introduced and illustrated a generalized interval analysis which reduces the inherent lack of sharpness of o.i.a. to a second order effect. Our method may not be useful if second order quantities are not truly negligible. Moreover, our method is of little value if the original data for a problem is real rather than intervals of non-zero width.
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Non-Interval Uncertainty II: Multi-Intervals and Their Generalizations

1998
The basic problem of interval computations is to find all possible values of y = f(x1,..., xn) when we only have partial information about xi.
Vladik Kreinovich   +3 more
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