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Paweł Artur Kluza
Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, 20-950 Lublin, Poland

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Journal article
Published: 09 December 2019 in Sustainability
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In the era of sustainable agriculture, the issue of proper and precise implementation of agrotechnical operations, without harmful effects on the natural environment, begins to play an important role. Statistical tools also become important, for example, when assessing the malfunction of plant cultivation equipment. The study presents a comparison of six nonparametric bootstrap methods used for construction of confidence intervals for the expected value of an average diameter of droplet stains following the spraying process. The simulation tests were carried out based on experiment with nozzle sprayer Lechler 110-03 using two spray nozzles: a new one and an old one. It was assumed that the distribution of the droplet stain size was consistent with the lognormal distribution. The paper considers the influence of the sample size, mean value and standard deviation of the droplet stain diameter on the interval range as well as on the estimated coverage probabilities of the confidence intervals. It was shown that in general these methods can be applied for this purpose. For the double bootstrap method and the studentized method, the empirical confidence levels of the constructed intervals turned out to be less distinct than the assumed level but the lengths of these intervals were greater than the lengths of intervals obtained using the other four methods.

ACS Style

Andrzej Bochniak; Paweł Artur Kluza; Izabela Kuna-Broniowska; Milan Koszel. Application of Non-Parametric Bootstrap Confidence Intervals for Evaluation of the Expected Value of the Droplet Stain Diameter Following the Spraying Process. Sustainability 2019, 11, 7037 .

AMA Style

Andrzej Bochniak, Paweł Artur Kluza, Izabela Kuna-Broniowska, Milan Koszel. Application of Non-Parametric Bootstrap Confidence Intervals for Evaluation of the Expected Value of the Droplet Stain Diameter Following the Spraying Process. Sustainability. 2019; 11 (24):7037.

Chicago/Turabian Style

Andrzej Bochniak; Paweł Artur Kluza; Izabela Kuna-Broniowska; Milan Koszel. 2019. "Application of Non-Parametric Bootstrap Confidence Intervals for Evaluation of the Expected Value of the Droplet Stain Diameter Following the Spraying Process." Sustainability 11, no. 24: 7037.

Journal article
Published: 27 November 2019 in Sustainability
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The effectiveness and quality of agricultural spraying largely depends on the technical efficiency of the nozzles installed in agricultural sprayers. The uniform spraying of plants results in a decrease in the amount of pesticides used in agricultural production and affects environmental safety. Both newly developed sprayers and those currently in use need quality control as well as an assessment of the performance of the spraying process, especially its uniformity. However, the models applied presently do not ensure accurate estimates or predictions of the spray liquid coverage uniformity of the treated surface. Generally, the distribution of the atomized liquid quantity is symmetrical and leptokurtic, which means that it does not fit well to the commonly used standard distribution. Therefore, there is a need to develop and design new tools for the evaluation, modeling, and prediction of such a process. The research problem studied in the present work was to find a new model for the distribution of atomized liquid quantity that could provide capabilities better than have been available so far to assess and predict the spraying process results. The research problem was solved through the formulation of a new function for the probability density distribution of sprayed liquid accumulation on the surface of the preset dimension size. The development of the new model was based on the results from a series of water atomization tests with an appropriate measurement device design based on the widely applied flat fan nozzles (AZ-MM type).

ACS Style

Paweł A. Kluza; Izabela Kuna-Broniowska; Stanisław Parafiniuk. Modeling and Prediction of the Uniformity of Spray Liquid Coverage from Flat Fan Spray Nozzles. Sustainability 2019, 11, 6716 .

AMA Style

Paweł A. Kluza, Izabela Kuna-Broniowska, Stanisław Parafiniuk. Modeling and Prediction of the Uniformity of Spray Liquid Coverage from Flat Fan Spray Nozzles. Sustainability. 2019; 11 (23):6716.

Chicago/Turabian Style

Paweł A. Kluza; Izabela Kuna-Broniowska; Stanisław Parafiniuk. 2019. "Modeling and Prediction of the Uniformity of Spray Liquid Coverage from Flat Fan Spray Nozzles." Sustainability 11, no. 23: 6716.

Journal article
Published: 29 August 2019 in Physica A: Statistical Mechanics and its Applications
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In this paper, Rényi type f-divergences like Jensen–Rényi and Jeffreys–Rényi are studied for convex functions. Some comparison theorems for two divergences are provided. The obtained results imply for introduced divergences some new inequalities corresponding to nonnegative convex functions. Some examples of known entropies are introduced in order to show a few applications of new divergences.

ACS Style

Paweł A. Kluza. On Jensen–Rényi and Jeffreys–Rényi type f-divergences induced by convex functions. Physica A: Statistical Mechanics and its Applications 2019, 548, 122527 .

AMA Style

Paweł A. Kluza. On Jensen–Rényi and Jeffreys–Rényi type f-divergences induced by convex functions. Physica A: Statistical Mechanics and its Applications. 2019; 548 ():122527.

Chicago/Turabian Style

Paweł A. Kluza. 2019. "On Jensen–Rényi and Jeffreys–Rényi type f-divergences induced by convex functions." Physica A: Statistical Mechanics and its Applications 548, no. : 122527.

Journal article
Published: 01 December 2016 in Physica A: Statistical Mechanics and its Applications
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In this paper, Jeffreys–Csiszár and Jensen–Csiszár ff-divergences are introduced and studied. Some bounds of Crooks and Lin types for such divergences are provided. To this end the concavity of the composition of monotone functions is discussed. Refinements of the original inequalities by Crooks and Popescu et al. are given.

ACS Style

Paweł Kluza; Marek Niezgoda. Generalizations of Crooks and Lin’s results on Jeffreys–Csiszár and Jensen–Csiszár f-divergences. Physica A: Statistical Mechanics and its Applications 2016, 463, 383 -393.

AMA Style

Paweł Kluza, Marek Niezgoda. Generalizations of Crooks and Lin’s results on Jeffreys–Csiszár and Jensen–Csiszár f-divergences. Physica A: Statistical Mechanics and its Applications. 2016; 463 ():383-393.

Chicago/Turabian Style

Paweł Kluza; Marek Niezgoda. 2016. "Generalizations of Crooks and Lin’s results on Jeffreys–Csiszár and Jensen–Csiszár f-divergences." Physica A: Statistical Mechanics and its Applications 463, no. : 383-393.

Journal article
Published: 01 January 2014 in The Electronic Journal of Linear Algebra
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In this paper, operator inequalities are provided for operator entropies transformed by a strictly positive linear map. Some results by Furuichi et al. [S. Furuichi, K. Yanagi, and K. Kuriyama. A note on operator inequalities of Tsallis relative operator entropy. Linear Algebra Appl., 407:19–31, 2005.], Furuta [T. Furuta. Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications. Linear Algebra Appl., 412:526–537, 2006.], and Zou [L. Zou. Operator inequalities associated with Tsallis relative operator entropy. Math. Inequal. Appl., 18:401–406, 2015.] are extended. In particular, the obtained inequalities are specified for relative operator entropy and Tsallis relative operator entropy. In addition, some bounds for generalized relative operator entropy are established.

ACS Style

Pawel Kluza; Marek Niezgoda. Inequalities for relative operator entropies. The Electronic Journal of Linear Algebra 2014, 27, 1 .

AMA Style

Pawel Kluza, Marek Niezgoda. Inequalities for relative operator entropies. The Electronic Journal of Linear Algebra. 2014; 27 (1):1.

Chicago/Turabian Style

Pawel Kluza; Marek Niezgoda. 2014. "Inequalities for relative operator entropies." The Electronic Journal of Linear Algebra 27, no. 1: 1.

Journal article
Published: 01 January 1998 in Mathematical Inequalities & Applications
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ACS Style

Paweł Artur Kluza; Marek Niezgoda. On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions. Mathematical Inequalities & Applications 1998, 455 -467.

AMA Style

Paweł Artur Kluza, Marek Niezgoda. On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions. Mathematical Inequalities & Applications. 1998; (2):455-467.

Chicago/Turabian Style

Paweł Artur Kluza; Marek Niezgoda. 1998. "On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions." Mathematical Inequalities & Applications , no. 2: 455-467.