A Parametric Family of Mixed Coalitional Values

2006 ◽  
pp. 323-339 ◽  
Author(s):  
Francesc Carreras ◽  
María Albina Puente
Keyword(s):  
Parametric Family ◽  
Coalitional Values

scholarly journals A Finite Mixture Modelling Perspective for Combining Experts’ Opinions with an Application to Quantile-Based Risk Measures

Risks ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 115
Author(s):  
Despoina Makariou ◽  
Pauline Barrieu ◽  
George Tzougas
Keyword(s):  
Decision Making ◽  
Mixture Models ◽  
Finite Mixture Models ◽  
Risk Measures ◽  
Finite Mixture ◽  
Parametric Family ◽  
Collective Decision Making ◽  
Multiple Sources ◽  
Mixture Modelling ◽  
Expert Opinions

The key purpose of this paper is to present an alternative viewpoint for combining expert opinions based on finite mixture models. Moreover, we consider that the components of the mixture are not necessarily assumed to be from the same parametric family. This approach can enable the agent to make informed decisions about the uncertain quantity of interest in a flexible manner that accounts for multiple sources of heterogeneity involved in the opinions expressed by the experts in terms of the parametric family, the parameters of each component density, and also the mixing weights. Finally, the proposed models are employed for numerically computing quantile-based risk measures in a collective decision-making context.

A parametric family of Massey-type methods: inference, prediction, and sensitivity

2020 ◽  
Vol 16 (3) ◽  
pp. 255-269
Author(s):  
Enrico Bozzo ◽  
Paolo Vidoni ◽  
Massimo Franceschet
Keyword(s):  
Quantitative Analysis ◽  
Control Theory ◽  
Dynamic Systems ◽  
Parametric Family ◽  
Time Varying ◽  
Multi Agent ◽  
Key Features ◽  
The Stability ◽  
Agent Coordination ◽  
Time Aware

AbstractWe study the stability of a time-aware version of the popular Massey method, previously introduced by Franceschet, M., E. Bozzo, and P. Vidoni. 2017. “The Temporalized Massey’s Method.” Journal of Quantitative Analysis in Sports 13: 37–48, for rating teams in sport competitions. To this end, we embed the temporal Massey method in the theory of time-varying averaging algorithms, which are dynamic systems mainly used in control theory for multi-agent coordination. We also introduce a parametric family of Massey-type methods and show that the original and time-aware Massey versions are, in some sense, particular instances of it. Finally, we discuss the key features of this general family of rating procedures, focusing on inferential and predictive issues and on sensitivity to upsets and modifications of the schedule.

scholarly journals SUSUSY Quantum Mechanics

1997 ◽  
Vol 12 (01) ◽  
pp. 171-176 ◽  
Author(s):  
David J. Fernández C.
Keyword(s):  
Quantum Mechanics ◽  
Shift Operator ◽  
Second Order ◽  
Parametric Family ◽  
First Order ◽  
Shift Operators ◽  
Exactly Solvable ◽  
Exactly Solvable Hamiltonians

The exactly solvable eigenproblems in Schrödinger quantum mechanics typically involve the differential "shift operators". In the standard supersymmetric (SUSY) case, the shift operator turns out to be of first order. In this work, I discuss a technique to generate exactly solvable eigenproblems by using second order shift operators. The links between this method and SUSY are analysed. As an example, we show the existence of a two-parametric family of exactly solvable Hamiltonians, which contains the Abraham–Moses potentials as a particular case.

scholarly journals A parametric family of cubic Thue equations

2004 ◽  
Vol 107 (1) ◽  
pp. 63-79 ◽  
Author(s):  
Alain Togbé
Keyword(s):  
Parametric Family

A parametric family of two ranked objects auctions: equilibria and associated risk

2013 ◽  
Vol 225 (1) ◽  
pp. 141-160 ◽  
Author(s):  
Estrella Alonso ◽  
Joaquin Sanchez-Soriano ◽  
Juan Tejada
Keyword(s):  
Parametric Family

Power Integral Bases in Composits of Number Fields

1998 ◽  
Vol 41 (2) ◽  
pp. 158-165 ◽  
Author(s):  
István Gaál
Keyword(s):  
Number Fields ◽  
Parametric Family ◽  
Prime Degree ◽  
Index Form ◽  
Form Equation ◽  
Integral Bases ◽  
Quadratic Extensions ◽  
Totally Real

AbstractIn the present paper we consider the problem of finding power integral bases in number fields which are composits of two subfields with coprime discriminants. Especially, we consider imaginary quadratic extensions of totally real cyclic number fields of prime degree. As an example we solve the index form equation completely in a two parametric family of fields of degree 10 of this type.

The Estimation of Nonparametric Functions in a Hilbert Space

1985 ◽  
Vol 1 (1) ◽  
pp. 7-26 ◽  
Author(s):  
A. R. Bergstrom
Keyword(s):  
Hilbert Space ◽  
Nonlinear Regression ◽  
Theoretical Basis ◽  
Fourier Coefficients ◽  
Orthogonal Series ◽  
Regression Function ◽  
Stopping Rule ◽  
Parametric Family ◽  
Convergence Theorems

This paper is concerned with the estimation of a nonlinear regression function which is not assumed to belong to a prespecified parametric family of functions. An orthogonal series estimator is proposed, and Hilbert space methods are used in the derivation of its properties and the proof of several convergence theorems. One of the main objectives of the paper is to provide the theoretical basis for a practical stopping rule which can be used for determining the number of Fourier coefficients to be estimated from a given sample.

scholarly journals Stock-production functions resembling Beverton-Holt

2019 ◽  
Author(s):  
Peter Fritz Baker
Keyword(s):  
Alternative Model ◽  
Mathematical Theory ◽  
Production Functions ◽  
Parametric Family ◽  
Hockey Stick ◽  
Class Of Functions

AbstractResearchers dissatisfied with the performance of the Beverton-Holt model, in contexts where “Beverton-Holt-like” behavior is expected, have introduced a plethora of alternative model forms. This paper presents a formalization of what constitutes “Beverton-Holt-like behavior” which includes many of these forms, and shows that the class of functions so defined has a coherent and non-trivial mathematical theory. Data from the stock production database assembled by Ransom Myers is used to illustrate why such generalizations have been sought in the first place, and to highlight the difficulties in choosing between model forms on purely empirical grounds. Special attention is given to a parametric family of functions within this class, here called “θ-BH” functions. These functions cover a broad range of shapes, including both the Beverton-Holt and hockey stick functions, and share useful properties with these two widely-used models.

scholarly journals A parametric family of elliptic curves

2000 ◽  
Vol 94 (1) ◽  
pp. 87-101 ◽  
Author(s):  
Andrej Dujella
Keyword(s):  
Elliptic Curves ◽  
Parametric Family
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