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Log-concave and concave distributions in reliability

Naval Research Logistics, 1999
Summary: Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. We consider the class of log-concave distributions and the subclass of concave distributions. The work is motivated by the fact that most of the common parametric
Sengupta, Debasis, Nanda, Asok K.
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An algorithm to interpolate concavities

Proceedings of the 36th Annual ACM Symposium on Applied Computing, 2021
Region interpolation methods impose restrictions that have an influence on how concavities are transformed, potentially, causing their transformation to be unnatural, e.g., a concavity unexpectedly appears (disappears) from (to) a point. In this work we present an algorithm to transform a line segment to a concavity, and a line segment to a simple non ...
José Duarte, Mark McKenney
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Concavity in Data Analysis

Journal of Classification, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Concave Nontransitive Consumer

Journal of Global Optimization, 2001
The author investigates the problem of characterization of rationalizability of nontransitive preferences of a consumer. Let the preference of a consumer be described by a complete binary relation \(R\) on the set \({\mathbb{R}}^{l}_{+}\) of all possible consumption bundles. For \(x,y\in {\mathbb{R}}^{l}_{+}\), \(xRy\) is interpreted as \(x\) is weakly
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Efficiency and Generalized Concavity

Journal of Optimization Theory and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luc, D. T., Schaible, S.
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Concave reagents. 12. Polymerfixation of Concave Pyridines

Journal f�r Praktische Chemie/Chemiker-Zeitung, 1992
Via a metal ion template directed synthesis and a high dilution cyclization, a bimacrocyclic 4-benzyloxyethoxy-substituted concave pyridine 8 was synthesized from dialdehyde 3, diamine 4 and diacyl dichloride 7 in 54% overall yield. Pd-catalyzed hydrogenolysis of 8 afforded the OH-substituted concave pyridine 9 which could be attached to a Merrifield ...
Ulrich L�ning, Matthias Gerst
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Other determinental conditions for concavity and quasi-concavity

Journal of Mathematical Economics, 1984
This paper concerns the conditions based upon the Hessian matrix or the bordered Hessian matrix, to determine whether a twice-differentiable function is concave or quasi-concave.
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Valuations on Concave Functions and Log-Concave Functions

Wuhan University Journal of Natural Sciences, 2019
Recently, the theory of valuations on function spaces has been rapidly growing. It is more general than the classical theory of valuations on convex bodies. In this paper, all continuous, SL(n) and translation invariant valuations on concave functions and log-concave functions are completely classified, respectively.
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Measuring the sizes of concavities

Pattern Recognition Letters, 1985
In shape recognition of a region R, it will be useful to have information about position, size and shape of its concavities, for purposes of description. The present paper investigates two measures of size of a concavity, in addition to its area, and also studies the relationships between the three size measures.
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Concavity of Resistance Functions

Journal of Applied Physics, 1956
It is proved that any network of linearly wound potentiometers and fixed resistors has a curve of resistance versus shaft angle which is concave downward.
Shannon, Claude E., Hagelbarger, D. W.
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