Scale parameters for thermal blooming and the occurrence of instabilities

Abstract Pareto distribution is an important distribution in extreme value theory. In this paper, we consider parallel systems with Pareto components and study the effect of heterogeneity on skewness of such systems. It is shown that, when the lifetimes of components have different shape parameters, the parallel system with heterogeneous Pareto component lifetimes is more skewed than the system with independent and identically distributed Pareto components. However, for the case when the lifetimes of components have different scale parameters, the result gets reversed in the sense of star ordering. We also establish the relation between star ordering and dispersive ordering by extending the result of Deshpande and Kochar [(1983). Dispersive ordering is the same as tail ordering. Advances in Applied Probability 15(3): 686–687] from support $(0, \infty )$ to general supports $(a, \infty )$ , $a > 0$ . As a consequence, we obtain some new results on dispersion of order statistics from heterogeneous Pareto samples with respect to dispersive ordering.

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Deterministic and Empirical Approach for Millimeter-Wave Complex Outdoor Smart Parking Solution Deployments

Sensors ◽

10.3390/s21124112 ◽

2021 ◽

Vol 21 (12) ◽

pp. 4112

Author(s):

Fidel Alejandro Rodríguez-Corbo ◽

Leyre Azpilicueta ◽

Mikel Celaya-Echarri ◽

Peio Lopez-Iturri ◽

Ana V. Alejos ◽

...

Keyword(s):

Large Scale ◽

Radio Channel ◽

Path Loss ◽

Ground Level ◽

Directional Antennas ◽

Scale Parameters ◽

Parking Lot ◽

Smart Parking ◽

Wireless Communications Systems

The characterization of different vegetation/vehicle densities and their corresponding effects on large-scale channel parameters such as path loss can provide important information during the deployment of wireless communications systems under outdoor conditions. In this work, a deterministic analysis based on ray-launching (RL) simulation and empirical measurements for vehicle-to-infrastructure (V2I) communications for outdoor parking environments and smart parking solutions is presented. The study was carried out at a frequency of 28 GHz using directional antennas, with the transmitter raised above ground level under realistic use case conditions. Different radio channel impairments were weighed in, considering the progressive effect of first, the density of an incremental obstructed barrier of trees, and the effect of different parked vehicle densities within the parking lot. On the basis of these scenarios, large-scale parameters and temporal dispersion characteristics were obtained, and the effect of vegetation/vehicle density changes was assessed. The characterization of propagation impairments that different vegetation/vehicle densities can impose onto the wireless radio channel in the millimeter frequency range was performed. Finally, the results obtained in this research can aid communication deployment in outdoor parking conditions.

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A general class of non parametric tests for comparing scale parameters

Communication in Statistics- Theory and Methods ◽

10.1080/03610926.2017.1404099 ◽

2017 ◽

Vol 47 (24) ◽

pp. 5956-5972 ◽

Cited By ~ 4

Author(s):

Narinder Kumar ◽

Manish Goyal

Keyword(s):

General Class ◽

Scale Parameters ◽

Non Parametric

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Dynamical behavior of the Richtmyer–Meshkov instability-induced turbulent mixing under multiple shock interactions

Canadian Journal of Physics ◽

10.1139/cjp-2016-0633 ◽

2017 ◽

Vol 95 (8) ◽

pp. 671-681 ◽

Cited By ~ 1

Author(s):

Tao Wang ◽

Gang Tao ◽

Jingsong Bai ◽

Ping Li ◽

Bing Wang ◽

...

Keyword(s):

Turbulent Mixing ◽

Compression Wave ◽

Dynamical Behavior ◽

Characteristic Scale ◽

Mixing Zone ◽

Shock Interactions ◽

Scale Parameters ◽

Eddy Simulation ◽

Negative Exponential ◽

Multiple Shock

The dynamical behavior of Richtmyer–Meshkov instability-induced turbulent mixing under multiple shock interactions is investigated by large-eddy simulation. After the initial shockwave–interface interaction, the transmitted wave reverberates between the accelerated interface and the end-wall of the shock tube to form a process of multiple shock interactions. The turbulent mixing zone grows in a different manner under each of the impingements. After the initial shock, it grows as a power law of time. After the reshock and the impingement of the reflected rarefaction wave, it grows with time as a different negative exponential law. When the impingement of the reflected compression wave completes, it grows approximately in a linear fashion. The statistical quantities in the turbulent mixing zone evolve with time in a similar way under multiple impingements, and after the impingement of the reflected compression wave, they all decay asymptotically. Therefore, the turbulent mixing zone behaves in a statistically self-similar pattern. Even though the impingements of different waves result in different abrupt changes of the characteristic scale parameters of mixing turbulence, as a whole, the characteristic scales present a feature of growth, and the characteristic-scale Reynolds numbers present a feature of decay. The mixing flow is continuously anisotropic, yet the anisotropy weakens gradually. Therefore the development of turbulent mixing presents a trend of isotropy.

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