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Tytuł:
Random walk - fuzzy aspects
Autorzy:
Frič, R.
Papčo, M.
Powiązania:
https://bibliotekanauki.pl/articles/122040.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
random walk
fuzzy probability
experiment
stochastics
spacery losowe
prawdopodobieństwo rozmyte
eksperyment
stochastyka
Opis:
Some beautiful and powerful mathematical ideas are hard to present to students because of the involved abstract language (notation, definitions, theorems, proofs, formulas) and lack of time. Animation and “mathematical experiments” provide a remedy. In the field of stochastics, the Galton board experiment presents several fundamental stochastic notions: a random event, independent random events, the binomial distribution, limit distribution, normal distribution, interpretation of probability, and leads to their better understanding. Random walk is a natural generalization of the Galton board. We use random walks as a motivation and presentation of basic principles of fuzzy random events and fuzzy probability. Fuzzy mathematics and fuzzy logic generalize classical (Boolean) mathematics and logic, reflect everyday experience and decision making and have broader applications. Experimenting with random walks also sheds light on the transition from classical to fuzzy probability.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2011, 16; 205-212
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A newly developed random walk model for PCS network
Autorzy:
Islam, I.
Hossain, S.
Powiązania:
https://bibliotekanauki.pl/articles/308852.pdf
Data publikacji:
2005
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
cell cluster
random walk
subarea n
state transition
probability matrix
expected number of steps
Opis:
Different types of random walk models are prevalent in mobile cellular network for analysis of roaming and handover, being considered as important parameters of traffic measurement and location updating of such network. This paper proposes a new random walk model of hexagonal cell cluster, exclusively developed by the authors and a comparison is made with two existing models. The proposed model shows better performance in context of number of probability states compared to existing models.
Źródło:
Journal of Telecommunications and Information Technology; 2005, 1; 153-156
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quantitative estimation of 3D cave networks complexity using random walk analysis
Autorzy:
Błachowicz, T.
Andreychouk, V.
Powiązania:
https://bibliotekanauki.pl/articles/294823.pdf
Data publikacji:
2015
Wydawca:
Stowarzyszenie Geomorfologów Polskich
Tematy:
speleomorphogenesis
cave networks
random walk
Hurst exponent
morphometric analysis
Opis:
The paper presents a new method of quantitative parameterization of volumetric-net geomorphological structures with the use of random walk formalism and an analysis of self-similarity exponent distribution derived from random walk experiments. As examples, two American three-dimensional Wind and Lechuguilla cave networks were elaborated. The provided methodology is able to uniquely characterize the morphology of cave systems.
Źródło:
Landform Analysis; 2015, 29; 91-96
1429-799X
Pojawia się w:
Landform Analysis
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A remark on the norm of a random walk on surface groups
Autorzy:
Żuk, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/966655.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
norm of operator
surface group
random walk
Opis:
We show that the norm of the random walk operator on the Cayley graph of the surface group in the standard presentation is bounded by 1/√g where g is the genus of the surface.
Źródło:
Colloquium Mathematicum; 1997, 72, 1; 195-206
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An asymptotic expansion for the distribution of the supremum of a random walk
Autorzy:
Sgibnev, M. S.
Powiązania:
https://bibliotekanauki.pl/articles/1206084.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
random walk
supremum
submultiplicative function
characteristic equation
absolutely continuous component
oscillating random walk
stationary distribution
asymptotic expansions
Banach algebras
Laplace transform
Opis:
Let ${S_n}$ be a random walk drifting to -∞. We obtain an asymptotic expansion for the distribution of the supremum of ${S_n}$ which takes into account the influence of the roots of the equation $1-∫_ℝe^{sx}F(dx)=0,F$ being the underlying distribution. An estimate, of considerable generality, is given for the remainder term by means of submultiplicative weight functions. A similar problem for the stationary distribution of an oscillating random walk is also considered. The proofs rely on two general theorems for Laplace transforms.
Źródło:
Studia Mathematica; 2000, 140, 1; 41-55
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Random walk analysis of cave maps for exemplary gypsum caves-mazes of Western Ukraine
Autorzy:
Błachowicz, T.
Andreychouk, V.
Domino, K.
Powiązania:
https://bibliotekanauki.pl/articles/294486.pdf
Data publikacji:
2018
Wydawca:
Stowarzyszenie Geomorfologów Polskich
Tematy:
cave networks
gypsum caves
random walk
Hurst exponent
sieci jaskiń
jaskinie gipsowe
wykładnik Hursta
Opis:
The paper presents a new method of quantitative parameterization of net geomorphological structures with the use of random walk formalism and an analysis of Hurst exponent distribution derived from random walk experiments. As examples, horizontally developed gypsum caves were elaborated. The provided methodology is able to uniquely characterize cave systems.
Źródło:
Landform Analysis; 2018, 36; 3-8
1429-799X
Pojawia się w:
Landform Analysis
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Use of random walk in two-dimensional lattice graphs to describe influence of wind and sea currents on oil slick movement
Autorzy:
Guze, S.
Mazurek, J.
Smolarek, L.
Powiązania:
https://bibliotekanauki.pl/articles/244325.pdf
Data publikacji:
2016
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
random walk
oil spill
currents
Opis:
The concept of oil slick movement being influenced by wind and sea currents is elementary for the decision model of the distribution of large oil spill emergency control means at sea. The analysis of water area conditions such as wind and sea currents is elementary for the concept of oil slick movement. The article presents the model of oil slick movement under the influence of wind and sea currents. In building the model, random walk in two-dimensional lattice graphs has been used. The movement of oil slick is analysed in two ways. In the paper, the movement of the oil slick is analysed in two ways without wind and focus on surface sea currents and with wind and currents. Case one assumes no wind and focuses on surface sea currents only using random walk in a two-dimensional square grid graph. Case two assumes that wind is in place, so oil slick is moving due to surface sea currents and wind currents. The description of movement in case two is based on a two-dimensional lattice graph, which is a combination of a triangular grid graph and a hexagonal grid graph. The article also describes the basic assumptions of oil slick model: the definition of water area, oil slick and algorithm for rescue action to contain the oil spill. Oil slick movement concept is elementary for the decision model of oil spill control at sea. The model allows estimating the distance of oil slick from coastal areas.
Źródło:
Journal of KONES; 2016, 23, 2; 147-153
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
SOME PROPOSAL OF THE TEST FOR A RANDOM WALK DETECTION AND ITS APPLICATION IN THE STOCK MARKET DATA ANALYSIS
Autorzy:
Dudziński, Marcin
Furmańczyk, Konrad
Orłowski, Arkadiusz
Powiązania:
https://bibliotekanauki.pl/articles/453162.pdf
Data publikacji:
2018
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Katedra Ekonometrii i Statystyki
Tematy:
random walk
arcsine law
test for a random walk detection
stock market data analysis
Opis:
According to the numerous groups of theoreticians and practitioners, who act in the area of financial markets, changes in the stock prices are random and it is almost infeasible to predict them correctly using historical data. This approach is based on the random walk theory, which states that the price of financial instrument in the subsequent time point is the sum of its price in the previous time point and some random variable with a finite variance, i.e. it is modeled with the use of a stochastic process called a random walk. The random walk hypothesis stands in contradiction to the beliefs of the ordinary technical analysis followers, where the prediction is carried out on the grounds of existing trends, and furthermore, this hypothesis regards such a modeling of financial markets as incorrect. In our work, we construct statistical test for a random walk detection, which is based on the first arcsine law. We also present simulation results that allow to check the quality of the proposed test, as well as we show the application of the introduced test in the stock exchange data analysis.
Źródło:
Metody Ilościowe w Badaniach Ekonomicznych; 2018, 19, 4; 339-346
2082-792X
Pojawia się w:
Metody Ilościowe w Badaniach Ekonomicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On concentrated probabilities
Autorzy:
Bartoszek, Wojciech
Powiązania:
https://bibliotekanauki.pl/articles/1311560.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
random walk
concentration function
convolution operator
Opis:
Let G be a locally compact Polish group with an invariant metric. We provide sufficient and necessary conditions for the existence of a compact set A ⊆ G and a sequence $g_n ∈ G$ such that $μ^{∗n}(g_n A) ≡ 1$ for all n. It is noticed that such measures μ form a meager subset of all probabilities on G in the weak measure topology. If for some k the convolution power $μ^{∗k}$ has nontrivial absolutely continuous component then a similar characterization is obtained for any locally compact, σ-compact, unimodular, Hausdorff topological group G.
Źródło:
Annales Polonici Mathematici; 1995, 61, 1; 25-38
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Krengel-Lin decomposition for noncompact groups
Autorzy:
Bartoszek, Wojciech
Rębowski, Ryszard
Powiązania:
https://bibliotekanauki.pl/articles/965161.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Markov operator
ergodic theory
random walk
concentration function
Źródło:
Colloquium Mathematicum; 1996, 69, 1; 87-94
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Heaping Effect in the Survey Data on the Number of Friends
Autorzy:
Nawojczyk, M.
Stojkow, M.
Żuchowska-Skiba, D.
Krawczyk, M.
Kułakowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/1029538.pdf
Data publikacji:
2018-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
social systems
random walk
exit time
incomplete knowledge
Opis:
The number of acquaintances is relevant for modeling social networks. Here we consider the data on the declared number of friends, as collected in 2000, 2007 and 2015 from Polish respondents above the age of 50. We demonstrate that the answers on the number of friends show sharp maxima at 10, 15, 20 and sometimes 30, which accompany a broader peak between 0 and 8. These results do not change qualitatively with sex and age of the respondents. The effect, known as data heaping, can be detected as a deviation from the Benford law.
Źródło:
Acta Physica Polonica A; 2018, 133, 6; 1417-1420
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The modeling of earnings per share of Polish companies for the post-financial crisis period using random walk and ARIMA models
Autorzy:
Kuryłek, Wojciech
Powiązania:
https://bibliotekanauki.pl/articles/19322602.pdf
Data publikacji:
2023-05-11
Wydawca:
Uniwersytet Warszawski. Wydawnictwo Naukowe Wydziału Zarządzania
Tematy:
earnings per share
time series
random walk
ARIMA
financial forecasting
Warsaw
Stock Exchange
Opis:
The proper forecasting of listed companies’ earnings is crucial for their appropriate pricing. This paper compares forecast errors of different univariate time-series models applied for the earnings per share (EPS) data for Polish companies from the period between the last financial crisis of 2008–2009 and the pandemic shock of 2020. The best model is the seasonal random walk (SRW) model across all quarters, which describes quite well the behavior of the Polish market compared to other analyzed models. Contrary to the findings regarding the US market, this time-series behavior is well described by the naive seasonal random walk model, whereas in the US the most adequate models are of a more sophisticated ARIMA type. Therefore, the paper demonstrates that conclusions drawn for the US might not hold for emerging economies because of the much simpler behavior of these markets that results in the absence of autoregressive and moving average parts.
Źródło:
Journal of Banking and Financial Economics; 2023, 1(19); 26-43
2353-6845
Pojawia się w:
Journal of Banking and Financial Economics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Diffusion limit for the phenomenon of random genetic drift
Autorzy:
Marciniak, Anna
Powiązania:
https://bibliotekanauki.pl/articles/1208221.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
genetic drift
telegraph equations
singularly perturbed systems
diffusion equation
random walk
Opis:
The paper deals with mathematical modelling of population genetics processes. The formulated model describes the random genetic drift. The fluctuations of gene frequency in consecutive generations are described in terms of a random walk. The position of a moving particle is interpreted as the state of the population expressed as the frequency of appearance of a specific gene. This leads to a continuous model on the microscopic level in the form of two first order differential equations (known as the telegraph equations). Applying the modified Chapman-Enskog procedure we show the transition from this system to a macroscopic model which is a diffusion type equation. Finally, the error of approximation is estimated.
Źródło:
Applicationes Mathematicae; 2000, 27, 1; 81-101
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Most random walks on nilpotent groups are mixing
Autorzy:
Rębowski, R.
Powiązania:
https://bibliotekanauki.pl/articles/1311975.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stochastic operator
convolution operator
random walk
norm completely mixing
nilpotent group
Opis:
Let G be a second countable locally compact nilpotent group. It is shown that for every norm completely mixing (n.c.m.) random walk μ, αμ + (1-α)ν is n.c.m. for 0 < α ≤ 1, ν ∈ P(G). In particular, a generic stochastic convolution operator on G is n.c.m.
Źródło:
Annales Polonici Mathematici; 1992, 57, 3; 265-268
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Calibration of backward-in-time model using drifting buoys in the East China Sea
Autorzy:
Yu, F.
Li, J.
Zhao, Y.
Li, Q.
Chen, G.
Powiązania:
https://bibliotekanauki.pl/articles/47533.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Oceanologii PAN
Tematy:
crude oil
marine environment
marine pollution
oil spill
China Sea
random walk
wind field
calibration
Opis:
In the process of oil exploitation and transportation, large amounts of crude oil are often spilled, resulting in serious pollution of the marine environment. Forecasting oil spill reverse trajectories to determine the exact oil spill sources is crucial for taking proactive and effective emergency measures. In this study, the backward-in-time model (BTM) is proposed for identifying sources of oil spills in the East China Sea. The wind, current and random walk are three major factors in the simulation of oil spill sources. The wind drag coefficient varies along with the uncertainty of the wind field, and the random walk is sensitive to various traits of different regions, these factors are taken as constants in most of the state-of-the-art studies. In this paper, a self-adaptive modification mechanism for drift factors is proposed, which depends on a data set derived from the drifter buoys deployed over the East China Sea shelf. It can be well adapted to the regional characteristics of different sea areas. The correlation factor between predicted positions and actual locations of the drifters is used to estimate optimal coefficients of the BTM. A comparison between the BTM and the traditional method is also made in this study. The results presented in this paper indicate that our method can be used to predict the actual specific spillage locations.
Źródło:
Oceanologia; 2017, 59, 3
0078-3234
Pojawia się w:
Oceanologia
Dostawca treści:
Biblioteka Nauki
Artykuł

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