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570252. Statistical cluster points of sequences in finite dimensional spaces
- Creator:
- Pehlivan;, Serpil, Güncan, A., and Mamedov, M. A.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- compact sets, natural density, statistically bounded sequence, and statistical cluster point
- Language:
- English
- Description:
- In this paper we study the set of statistical cluster points of sequences in $m$-dimensional spaces. We show that some properties of the set of statistical cluster points of the real number sequences remain in force for the sequences in $m$-dimensional spaces too. We also define a notion of $\Gamma $-statistical convergence. A sequence $x$ is $\Gamma $-statistically convergent to a set $C$ if $C$ is a minimal closed set such that for every $\epsilon > 0 $ the set $ \lbrace k\:\rho (C, x_k ) \ge \epsilon \rbrace $ has density zero. It is shown that every statistically bounded sequence is $\Gamma $-statistically convergent. Moreover if a sequence is $\Gamma $-statistically convergent then the limit set is a set of statistical cluster points.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
570253. Statistical convergence of infinite series
- Creator:
- Dindoš, M., Šalát, Tibor, and Toma, Vladimír
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- statistical convergence, set of the first category, Hausdorff dimension, and homogeneous set
- Language:
- English
- Description:
- In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series. We will discuss some questions related to the convergence of subseries of a given series.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
570254. Statistical convergence of subsequences of a given sequence
- Creator:
- Mačaj, M. and Šalát, T.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- asymptotic density, statistical convergence, Lebesgue measure, Hausdorff dimension, and Baire category
- Language:
- English
- Description:
- This paper is closely related to the paper of Harry I. Miller: Measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347 (1995), 1811–1819 and contains a general investigation of statistical convergence of subsequences of an arbitrary sequence from the point of view of Lebesgue measure, Hausdorff dimensions and Baire’s categories.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
570255. Statistical evaluation of the 3D monitoring of displacements of dinaric fault zone in Postojna Cave, Slovenia
- Creator:
- Šebela, Stanka, Turk, Janez, Janez Mulec, and Stemberk, Josef
- Format:
- print, bez média, and svazek
- Type:
- article, články, model:article, and TEXT
- Subject:
- Geologie. Meteorologie. Klimatologie, jeskyně, geodynamika, caves, geodynamics, Postojna (Slovinsko), Postojna (Slovenia), micro-tectonic displacements, 3D monitoring of displacements, TM 71 extensometer, statistical evaluation, Postojna Cave, Slovenia, 7, and 551
- Language:
- English
- Description:
- The results obtained by four years long TM 71 extensometer monitoring of 3D micro-tectonic displacements of Dinaric Fault Zone on two sites, being 260 m apart in Postojna Cave, were statistically evaluated with different methods (Kolmogorov- Smirnov test, comparison between relative displacement and earthquakes, linear regression, Kruskal-Wallis one-way analysis of variance, histograms and correlation coefficients). Responses to stress changes regarding x, y and z-axes are not the same on two monitoring sites even if we are monitoring the same fault zone. Kolmogorov-Smirnov test for comparing the two curves is applicable only for three axes combination (Postojna 1 z - Postojna 2 z, Postojna 2 y - Postojna 1 z, and Postojna 2 z - Postojna 2 y). Kruskal-Wallis analysis is most representative for z-axes. Some sharp peaks coincide with earthquake occurrences (Krn M=5.2, Cerkno M=4.0, Ilirska Bistrica M=3.9, Brežice M=2.9 and Krško M=3.1). Generally we detect very small tectonic deformations, dextral horizontal movement of 0.05 mm in 4 years for Postojna 1 and extension of 0.03 mm in 4 years for Postojna 2. Discrepancies between two sites can be attributed to complex geological structure and by the fact that studied fault zone is cut by cross-Dinaric fault zone., Stanka Šebela, Janez Turk, Janez Mulec, Blahoslav Košťák and Josef Stemberk., and Obsahuje bibliografii
- Rights:
- http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public
570256. Statistical feature extraction based on an ANN approach for estimating the compressive strength of concrete
- Creator:
- Dogan, G., Arslan, M. H. , and Ceylan, M.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Strenght, concrete, image processing, neural network, nondestructive testing, statistical properties/methods, cross validation, and analytical modeling
- Language:
- English
- Description:
- Applications of artificial intelligence in engineering disciplines have become widespread and have provided alternative solutions to engineering problems. Image processing technology (IPT) and artificial neural networks (ANNs) are types of artificial intelligence methods. However, IPT and ANN have been used together in extremely few studies. In this study, these two methods were used to deter- mine the compressive strength of concrete, a complex material whose mechanical features are difficult to predict. Sixty cube-shaped specimens were manufactured, and images of specific features of the specimens were taken before they were tested to determine their compressive strengths. An ANN model was constituted as a result of the process of digitizing the images. In this way, the two different artificial intelligence methods were used together to carry out the analysis. The compressive strength values of the concrete obtained via analytical modeling were compared with the test results. The results of the comparison (R² = 0:9837-0:9961) indicate that the combination of these two artificial intelligence methods is highly capable of predicting the compressive strengths of the specimens. The model's predictive capability was also evaluated in terms of several statistical parameters using a set of statistical methods during the digitization of the images constituting the artificial neural network.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
570257. Statistical investigation of the short-term light variations of the star HD 219749 observed with the twin telescopes
- Creator:
- Panov, K.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- astrophysics, twin telescopes, and short-term light variations
- Language:
- Czech
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
570258. Statistical prediction of Tigris River levels at Mosul hydrological station, North Iraq
- Creator:
- Al-Taiee, Thair Mahmood
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- river stage, forecasting, time series, vodné stavy, predpovede, časové rady, and rieka Tigris
- Language:
- Slovak
- Description:
- Forecasting the river flow level and volumes are essential to making the most efficient use of rivers and in minimizing damages to flood. A relationship between the released discharges from Mosul dam and river levels in Mosul station is predicted with high correlation coefficient for the two periods within the year (rainy and non-rainy months). A time series technique analysis for predicting the best relevant statistical model for future forecasting of Tigris River levels within the river reach between Mosul dam and Mosul city was applied. Deterministic prediction of the water levels of Tigris River within the reach between Mosul dam and Mosul city will help to avoid the increasing of the water level within the river reach to minimize the damages which may occur due to inundation areas. The average monthly Tigris River stages of Mosul station for the two periods before and after Mosul dam construction are constant with a reduction in the average value of the maximum water stages and increasing the average value of the minimum water stages after Mosul dam construction. Through the statistical analysis of the time series of the available river stages data at Mosul station, a repetition in the annual cycle in the water stages before Mosul dam construction and a decreasing trend through this period was observed. Winter model is the most suitable time series model to forecast the Tigris River stages or any missing data in the future in the Tigris River reach between Mosul dam and Mosul city. and Predpoveď vodných stavov a prietokov vodných tokov je podstatná pre ich efektívne využitie a minimalizáciu povodňových škôd. Závislosť medzi výtokom z priehrady Mosul a stavom vody v rieke v stanici v Mosule bola určená s vysokou hodnotou súčiniteľa korelácie pre dve obdobia roka (zrážkové a bezzrážkové obdobie). Na analýzu časových radov sme použili najvhodnejší štatistický model, ktorý umožnil predpoveď vodných stavov Tigrisu medzi priehradou Mosul a mestom Mosul. Deterministická predpoveď vodných stavov Tigrisu môže pomôcť minimalizovať škody v záplavovom území. Priemerné mesačné stavy vody v hydrologickej stanici v Mosule na rieke Tigris pre dve obdobia - pred vybudovaním priehrady Mosul a po ňom - sa nemenia, ale priemerné hodnoty maximálnych stavov vody po vybudovaní priehrady v Mosule sa znížili, naopak minimálne hodnoty vodných stavov sa zvyšujú. Štatistickou analýzou časových radov dostupných vodných stavov v stanici Mosul sa zistila nemennosť vodných stavov počas ich ročného cyklu pred vybudovaním priehrady Mosul a po jej vybudovaní. Najvhodnejším modelom časových radov pre predpoveď vodných stavov v rieke Tigris, alebo pre predpoveď chýbajúcich hodnôt vodných stavov v úseku rieky medzi priehradou a mestom Mosul, sa ukázal zimný model.
- Rights:
- http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public
570259. Statistical properties of chlorophyll fluorescence induction parameters
- Creator:
- Lazár, D. and Nauš, J.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Gaussian distribution, leaf age, Triticum aestivum, and wheat
- Language:
- Multiple languages
- Description:
- Parameters of the fast chlorophyll (Chl) fluorescence induction (the O-J-I-P curve) of plants of winter wheat grown in the field canopy were statistically tested for Gaussian distribution. Five different statistical methods showed that the obtained values did not obey the Gaussian distribution law. The presentation of the parameters with the help of the mean and standard deviation masks the information about statistical properties of the values. Thus, we recommend to present the parameters by means of median, quartiles, and minimum and maximum values rather than by means of the mean and standard deviation. and D. Lazár, J. Nauš.
- Rights:
- http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public
570260. Statistical properties of visual and eclipsing binaries
- Creator:
- Paolicchi, P., Alongi, M., Fofi, M., and Scardia, M.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- statistical analysis, visual binaries, and eclipsing binaries
- Language:
- Czech
- Description:
- The catologues of visual and eclipsing binaries have been analyzed by means of a mulivariate statistical method, with the purpose of putting into evidence mutual relations among the observed quantities as well as clustering properties in the mulri-dimensional space. Preliminary results of the analysis show several interesting feataures, and a physical interpretation can be attempted. Nevertheless, observational selection effects play an important role. The way back to the understanding of formation and evolutionary properties is extremely difficult, and unbiased conclusions about fundamental parameters as the initial period and mass ratio distributions cannot be obtained.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public