Fitting a Generalized Lambda Distribution Using a Percentile-KS (P-KS) Adequacy Criterion

2010 ◽  
pp. 279-309
Author(s):  
B Fournier ◽  
N Rupin ◽  
M Bigerelle ◽  
D Najjar ◽  
A Iost
Keyword(s):  
Generalized Lambda Distribution ◽  
Adequacy Criterion

The Structure of “Politics”

1978 ◽  
Vol 72 (3) ◽  
pp. 859-870 ◽  
Author(s):  
Fred M. Frohock
Keyword(s):  
Cluster Analysis ◽  
Possible Worlds ◽  
Sufficient Conditions ◽  
Core Structure ◽  
Necessary And Sufficient Conditions ◽  
Cluster Concept ◽  
Rigid Designators ◽  
Political Events ◽  
Adequacy Criterion ◽  
Necessary And Sufficient

Taxonomic definitions of politics are chronically unable to extend class properties to the heterogeneous scope of political events, leading to the view that “politics” may be a standard cluster concept. Clusters of properties, however, may be arranged around core terms strongly retentive in ordinary uses of a concept. Some terms are even rigid designators, necessary and sufficient conditions for reference in all possible worlds. The concept of “politics” provides two core terms, “directiveness” and “aggregation,” though not rigid designators. Such a core structure concentrates the standard cluster-analysis of “politics” on extension, not carrying over to all aspects of sense, thus permitting a weak and revised case for taxonomy on nonidentifying core terms. The implications of core terms in the concept of “politics” include the restriction of research-utility as an adequacy criterion and the acceptance of conventional status for distinctions between political and nonpolitical events.

Modeling Uncertainties in Power System by Generalized Lambda Distribution

2014 ◽  
Vol 15 (3) ◽  
pp. 195-203 ◽  
Author(s):  
Qing Xiao
Keyword(s):  
Power System ◽  
Probability Distributions ◽  
Random Variables ◽  
Random Variable ◽  
Polynomial Equation ◽  
Generalized Lambda Distribution ◽  
Modeling Uncertainties ◽  
Probability Weighted Moment

Abstract This paper employs the generalized lambda distribution (GLD) to model random variables with various probability distributions in power system. In the context of the probability weighted moment (PWM), an optimization-free method is developed to assess the parameters of GLD. By equating the first four PWMs of GLD with those of the target random variable, a polynomial equation with one unknown is derived to solve for the parameters of GLD. When employing GLD to model correlated multivariate random variables, a method of accommodating the dependency is put forward. Finally, three examples are worked to demonstrate the proposed method.

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