Wyniki wyszukiwania - BazTech

1

A new prediction model of surface subsidence with cauchy distribution in the coal mine of thick topsoil condition

Jiang Yue, Misa Rafał, Tajduś Krzysztof, Sroka Anton, Jiang Yan

Archives of Mining Sciences

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2020

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Vol. 65, no. 1

147--158

EN

Coal is the main energy source in China, but its underground mining causes surface subsidence, chich seriously damages the ecological and living environments. How to calculate subsidence accurately is a core issue in evaluating mining damage. At present, the most commonly used method of calculation is the Probability Integral Method (PIM), based on a normal distribution. However, this method has limitations in thick topsoil (thickness > 100 m), in that the extent of the calculated boundary of the subsidence basin is smaller than its real extent, and this has an undoubted impact on the accurate assessment of the extent of mining damage. Therefore, this paper introduces a calculation model for surface subsidence based on a Cauchy distribution for thick topsoil conditions. This not only improves the accuracy of calculation at the subsidence basin boundary, but also provides a universal method for the calculation of surface subsidence.

2

A new approach to robust, weighted signal averaging

Pander T.

Biocybernetics and Biomedical Engineering

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2015

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Vol. 35, no. 4

317--327

EN

In this paper, a new approach for robust, weighted averaging of time-aligned signals is proposed. Suppression of noise in such case can be achieved with the use of the averaging technique. The signals are time-aligned and then the average template is determined. To this end, the arithmetic mean operator is often applied to the synchronized signal samples or its various modifications. However, the disadvantage of the mean operator is its sensitivity to outliers. The weighted averaging operation can be regarded as special case of clustering. For that reason in this work the averaging process is formulated as the problem of certain criterion function minimization and a few different cost functions are employed. The maximum likelihood estimator of location based on the generalized Cauchy distribution is used as the cost function. Such approach allows to suppress various types of impulsive noise. The proposed methods performance is experimentally evaluated and compared to the reference methods using electrocardiographic signal in the presence of the impulsive noise and the real muscle noise as well as the case of noise power variations.

3

A family of goodness-of-fit tests for the Cauchy distribution

Pudełko J.

Czasopismo Techniczne. Nauki Podstawowe

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2012

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R. 109, z. 1-NP

11--26

EN

A new family of goodness-of-fit test for the Cauchy distribution is proposed in the paper. Every member of this family is affine invariant and consistent against any non Cauchy distribution. Results of the Monte Carlo simulations performed to verify finite sample behaviour of the new tests are presented.

PL

W artykule zaproponowano nową rodzinę testów zgodności z rozkładem Cauchy’ego. Każdy test z tej rodziny jest afinicznie niezmienniczy i zgodny przeciwko każdej alternatywie nie będącej rozkładem Cauchy’ego. Zaprezentowano także wyniki symulacji numerycznych przeprowadzonych w celu zbadania zachowania nowych testów dla skończonych prób.