scholarly journals ADMISSIBLE CLUSTERING OF AGGREGATOR COMPONENTS: A NECESSARY AND SUFFICIENT STOCHASTIC SEMINONPARAMETRIC TEST FOR WEAK SEPARABILITY

2009 ◽  
Vol 13 (S2) ◽  
pp. 317-334 ◽  
Author(s):  
William A. Barnett ◽  
Philippe de Peretti
Keyword(s):  
Measurement Errors ◽  
Statistical Tests ◽  
Index Number ◽  
Admissibility Condition ◽  
Weak Separability ◽  
New Class ◽  
Index Number Theory ◽  
Monte Carlo Studies ◽  
Large Measurement ◽  
Necessary And Sufficient

In aggregation theory, the admissibility condition for clustering components to be aggregated is blockwise weak separability, which also is the condition needed to separate out sectors of the economy. Although weak separability is thereby of central importance in aggregation and index number theory and in econometrics, prior attempts to produce statistical tests of weak separability have performed poorly in Monte Carlo studies. This paper introduces a new class of weak separability tests, which is seminonparametric. Such tests are both based on a necessary and sufficient condition and are fully stochastic, allowing to take into account measurement error. Simulations show that the tests perform well, even for large measurement errors.

Twisted Sasakian Metric on the Tangent Bundle and Harmonicity

2021 ◽  
Vol 62 ◽  
pp. 53-66
Author(s):  
Fethi Latti ◽  
◽  
Hichem Elhendi ◽  
Lakehal Belarbi
Keyword(s):  
Riemannian Manifold ◽  
Vector Field ◽  
Tangent Bundle ◽  
Vector Fields ◽  
Sufficient Conditions ◽  
Harmonic Vector ◽  
New Class ◽  
Necessary And Sufficient ◽  
Sasakian Metric ◽  
Harmonic Vector Fields

In the present paper, we introduce a new class of natural metrics on the tangent bundle $TM$ of the Riemannian manifold $(M,g)$ denoted by $G^{f,h}$ which is named a twisted Sasakian metric. A necessary and sufficient conditions under which a vector field is harmonic with respect to the twisted Sasakian metric are established. Some examples of harmonic vector fields are presented as well.

Allee’s Effect Bifurcation in Generalized Logistic Maps

2019 ◽  
Vol 29 (03) ◽  
pp. 1950039
Author(s):  
J. Leonel Rocha ◽  
Abdel-Kaddous Taha
Keyword(s):  
Allee Effect ◽  
Dynamical Behavior ◽  
Complete Classification ◽  
Unimodal Maps ◽  
New Class ◽  
New Type ◽  
Local And Global Bifurcations ◽  
One Dimensional Maps ◽  
Necessary And Sufficient

This paper concerns the study of the Allee effect on the dynamical behavior of a new class of generalized logistic maps. The fundamentals of the dynamics of this 4-parameter family of one-dimensional maps are presented. A complete classification of the nature and stability of its fixed points is provided. The main results relate to the Allee effect bifurcation: a new type of bifurcation introduced for this class of unimodal maps. A necessary and sufficient condition so that the Allee fixed point is a snap-back repeller is established. In addition, in the parameters space is defined an Allee’s effect region, which determines the existence of an essential extinction for the generalized logistic maps. Local and global bifurcations of generalized logistic maps are investigated.

scholarly journals On a topology between Tα and Tγα

Filomat ◽  
2019 ◽  
Vol 33 (10) ◽  
pp. 3209-3221
Author(s):  
Dimitrije Andrijevic
Keyword(s):  
Topological Space ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Closure Operators ◽  
New Class ◽  
Necessary And Sufficient

Using the topology T in a topological space (X,T), a new class of generalized open sets called ?-preopen sets, is introduced and studied. This class generates a new topology Tg which is larger than T? and smaller than T??. By means of the corresponding interior and closure operators, among other results, necessary and sufficient conditions are given for Tg to coincide with T? , T? or T??.

scholarly journals Physical and chemical parameters impact on eosin spectral determinations

2010 ◽  
Vol 29 (1) ◽  
pp. 51
Author(s):  
Liljana Kola
Keyword(s):  
Fluorescence Intensity ◽  
Water Samples ◽  
Measurement Errors ◽  
Fluorescent Dyes ◽  
Water System ◽  
Chemical Properties ◽  
Photochemical Decomposition ◽  
Large Measurement ◽  
Physical And Chemical ◽  
And Chemical Properties

The fluorescence ability of Eosin enables its using as an artificial tracer in the water system studies. The problem deals with the application of Eosin to trace and determine water movements within the karstic system and under ground waters. The fluorescence intensity of fluorescent dyes in water samples depends on their physical and chemical properties, such as pH, temperature, presence of oxidants, etc. Besides that, the UV radiation may induce photochemical decomposition of Eosin which can cause large measurement errors. This paper presents the taken results studying the influence of these factors on Eosin fluorescence intensity using the concentration and synchron scan methods. The method we have elaborated for this purpose made it possible to optimize procedures we use to analyze water samples for the presence of Eosin and measure its content, even in trace levels by the means of the Perkin Elmer LS 55 Luminescence Spectrometer.

Further results for Gauss-Poisson processes

1972 ◽  
Vol 4 (01) ◽  
pp. 151-176 ◽  
Author(s):  
R. K. Milne ◽  
M. Westcott
Keyword(s):  
Point Processes ◽  
Sufficient Conditions ◽  
Infinite Divisibility ◽  
Poisson Processes ◽  
Generating Functional ◽  
Basic Approach ◽  
New Class ◽  
Two Measures ◽  
Necessary And Sufficient ◽  
Statistical Results

Newman (1970) introduced an interesting new class of point processes which he called Gauss-Poisson. They are characterized, in the most general case, by two measures. We determine necessary and sufficient conditions on these measures for the resulting point process to be well defined, and proceed to a systematic study of its properties. These include stationarity, ergodicity, and infinite divisibility. We mention connections with other classes of point processes and some statistical results. Our basic approach is through the probability generating functional of the process.

On-Line Monitoring the Stationarity for Time Seires

2013 ◽  
Vol 444-445 ◽  
pp. 687-691
Author(s):  
Zhan Shou Chen
Keyword(s):  
Time Series ◽  
Monte Carlo ◽  
Statistical Tests ◽  
Variance Ratio ◽  
Test Power ◽  
Normal Sequence ◽  
Fixed Sample ◽  
Monte Carlo Studies ◽  
Monitoring Procedure ◽  
On Line

When analyzing time series an important issue is to decide whether the time series is stationary or nonstationary. Fixed sample statistical tests for that problem are well studies in the literature. In this paper we propose a moving variance ratio statistic to monitor the stationarity for normal sequence. Our Monte Carlo studies show that the proposed monitoring procedure has satisfactory test power and that the decision can often be made very early.

scholarly journals Semi Square Stable Graphs

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 597
Author(s):  
Mohammad Abudayah ◽  
Omar Alomari
Keyword(s):  
Independent Set ◽  
Interval Graphs ◽  
Maximum Independent Set ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
New Class ◽  
Dominating Number ◽  
Independent Number ◽  
Necessary And Sufficient

The independent number of a graph G is the cardinality of the maximum independent set of G, denoted by α ( G ) . The independent dominating number is the cardinality of the smallest independent set that dominates all vertices of G. In this paper, we introduce a new class of graphs called semi-square stable for which α ( G 2 ) = i ( G ) . We give a necessary and sufficient condition for a graph to be semi-square stable, and we study when interval graphs are semi-square stable.

MONTE CARLO STUDIES OF A NEW MODEL DRIVEN DIFFUSIVE SYSTEM WITH REPULSIVE INTERACTIONS

1992 ◽  
Vol 06 (26) ◽  
pp. 1673-1679
Author(s):  
K.K. MON
Keyword(s):  
Monte Carlo ◽  
Lattice Gas ◽  
Nearest Neighbor ◽  
Two Dimensions ◽  
Model Driven ◽  
New Class ◽  
Driven Lattice Gas ◽  
Driven Diffusive System ◽  
Monte Carlo Studies ◽  
Repulsive Interactions

We propose a new class of driven lattice gas with repulsive nearest-neighbor interactions. Particles are allowed to jump to empty next-nearest-neighbor (nnn) sites in addition to the standard nearest-neighbor moves. In contrast to previous model with repulsive interactions, the external driving field (E) acts only along the nnn directions and does not destroy ground state sublattice ordering. Extensive Monte Carlo simulations in two dimensions for small E are consistent with a line of continuous transitions with Ising exponents. First-order transitions are also found for larger E.

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