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Wyświetlanie 1-10 z 10
Tytuł:
An extended problem to Bertrands paradox
Autorzy:
Ardakani, Mostafa
Wulff, Shaun
Powiązania:
https://bibliotekanauki.pl/articles/729808.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
probability space
probability theory
problem modeling
random chords
Opis:
Bertrand's paradox is a longstanding problem within the classical interpretation of probability theory. The solutions 1/2, 1/3, and 1/4 were proposed using three different approaches to model the problem. In this article, an extended problem, of which Bertrand's paradox is a special case, is proposed and solved. For the special case, it is shown that the corresponding solution is 1/3. Moreover, the reasons of inconsistency are discussed and a proper modeling approach is determined by careful examination of the probability space.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2014, 34, 1-2; 23-34
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finitely additive functions in measure theory and applications
Autorzy:
Alpay, Daniel
Jorgensen, Palle
Powiązania:
https://bibliotekanauki.pl/articles/29519748.pdf
Data publikacji:
2024
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
reproducing kernel
probability space
Gaussian field
transforms
covariance
Itô integration
Itô calculus
generalized Brownian motion
Opis:
In this paper, we consider, and make precise, a certain extension of the Radon–Nikodym derivative operator, to functions which are additive, but not necessarily sigma-additive, on a subset of a given sigma-algebra. We give applications to probability theory; in particular, to the study of μ-Brownian motion, to stochastic calculus via generalized Itô-integrals, and their adjoints (in the form of generalized stochastic derivatives), to systems of transition probability operators indexed by families of measures μ, and to adjoints of composition operators.
Źródło:
Opuscula Mathematica; 2024, 44, 3; 323-339
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Probabilistic regression structures
Probabilistyczne struktury regresji
Autorzy:
Szumera, Agnieszka
Powiązania:
https://bibliotekanauki.pl/articles/699878.pdf
Data publikacji:
2018
Wydawca:
Łódzkie Towarzystwo Naukowe
Tematy:
nonlinear regression, polynomial regression, probability space, regression functions, regression structure
regresja nieliniowa, regresja wielomianowa, przestrzeń probabilistyczna, funkcje regresji, struktura regresji
Opis:
https://doi.org/10.26485/0459-6854/2018/68.3/2 Nowe podejście uogólniające klasyczną koncepcję regresji jest szeroko prezentowane w [5] i [6] na gruncie przestrzeni Hilberta. W niniejszym artykule wyniki tej pracy zostały przeniesione na przestrzeń probabilistyczną, gdzie uogólnione zagadnienie regresji ma postać rozwiązania problemu ekstremalnego, zdefiniowanego na przestrzeni probabilistycznej.
https://doi.org/10.26485/0459-6854/2018/68.3/2 A new approach generalizing the classical regression idea has been widely presented in [5] and [6] in the environment of an arbitrary Hilbert space. The problem of transforming this idea to a probability space is considered in the present paper.
Źródło:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations; 2018, 68, 3; 21-38
1895-7838
2450-9329
Pojawia się w:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimates of some probabilities in multidimensional convex records
Autorzy:
Kałuszka, Marek
Powiązania:
https://bibliotekanauki.pl/articles/1340347.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
estimates of probabilities
geometric probability
convex records in Euclidean space
Opis:
Convex records in Euclidean space are considered. We provide both lower and upper bounds on the probability $p_n(k)$ that in a sequence of random vectors $X_1$,..., $X_n$ there are exactly k records.
Źródło:
Applicationes Mathematicae; 1995-1996, 23, 1; 1-11
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Djrbashian kernel of a Siegel domain
Autorzy:
Barletta, Elisabetta
Dragomir, Sorin
Powiązania:
https://bibliotekanauki.pl/articles/1218823.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
γ-Bergman kernel
reproducing kernel Hilbert space
Djrbashian kernel
transition probability amplitude
Genchev transform
Opis:
We establish an inversion formula for the M. M. Djrbashian & A. H. Karapetyan integral transform (cf. [6]) on the Siegel domain $Ω_n = {ζ ∈ ℂ^n : ϱ (ζ) >0} $, $ϱ(ζ) = Im(ζ_1) - |ζ'|^2$. We build a family of Kähler metrics of constant holomorphic curvature whose potentials are the $ϱ^α$-Bergman kernels, α > -1, (in the sense of Z. Pasternak-Winiarski [20] of $Ω_n$. We build an anti-holomorphic embedding of $Ω_n$ in the complex projective Hilbert space $ℂℙ(H^2_α(Ω_n))$ and study (in connection with work by A. Odzijewicz [18] the corresponding transition probability amplitudes. The Genchev transform (cf. [9]) is shown to be well defined on $L^2(Ω, ϱ^α)$, for any strip Ω ⊂ ℂ, and applied in a problem of approximation by holomorphic functions. Building on work by T. Mazur (cf. [15]) we prove the existence of a complete orthonormal system in $H^2_α(Ω_n)$ consisting of eigenfunctions of a certain explicitly defined operator $V_a$, $a ∈ B_n$.
Źródło:
Studia Mathematica; 1998, 127, 1; 47-63
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multi-server closed queueing system with limited buffer space
Autorzy:
Tikhonenko, A.
Tikhonenko-Kędziak, A.
Powiązania:
https://bibliotekanauki.pl/articles/122285.pdf
Data publikacji:
2017
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
total requests capacity
memory space
loss probability
Stieltjes convolution
systemy kolejkowe
splot Stieltjesa
liczba zgłoszeń
pojemność pamięci
Opis:
In the paper, we investigate multi-server closed queueing systems with identical servers and a finite number of terminals. Requests from each terminal are characterized by a random space requirement (volume), the request service time doesn’t depend on its volume and has an exponential distribution. The total requests capacity in the system is limited by a positive value (buffer space memory volume) V. For such systems, stationary requests number distribution and loss probability are determined. The analogous results for open multi-server systems are obtained as a limit case. Some numerical results are attached as well.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 1; 117-125
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semicircular elements induced by p-adic number fields
Autorzy:
Cho, I.
Jorgensen, P. E. T.
Powiązania:
https://bibliotekanauki.pl/articles/255340.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
free probability
primes
p-adic number fields Qp
Hilbert-space representations
C*-algebras
wighted-semicircular elements
semicircular elements
Opis:
In this paper, we study semicircular-like elements, and semicircular elements induced by p-adic analysis, for each prime p. Starting from a p-adic number field Qp, we construct a Banach *-algebra [formula], for a fixed prime p, and show the generating elements Qpj of [formula] form weighted-semicircular elements, and the corresponding scalar-multiples Θpj of Qpj become semicircular elements, for all j ∈ Z. The main result of this paper is the very construction of suitable linear functionals [formula] on [formula], making Qpj be weighted-semicircular, for all j ∈ Z.
Źródło:
Opuscula Mathematica; 2017, 37, 5; 665-703
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The definition of the area of felling forests by high resolution satellite images
Autorzy:
Burshtynska, K.
Polishchuk, B.
Madyar, J.
Powiązania:
https://bibliotekanauki.pl/articles/100258.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Rolniczy im. Hugona Kołłątaja w Krakowie
Tematy:
remote sensing of the Earth
space image
forest monitoring
classification
method of maximum probability
Mahalanobis's method
method of minimum distance
deforestation
teledetekcja Ziemi
klasyfikacja
monitoring lasu
metoda maksymalnego prawdopodobieństwa
Metoda Mahalanobisa
wylesienie
Opis:
The paper presents a hybrid classification method based on the determination of the optimal number of classes according to uncontrolled classification followed by image processing techniques of controlled classification. A criterion for determining the optimal number of classes is proposed based on the definition of averaged values differences of average spectral brightness among the classes. Space images from satellites Ikonos (2002, 2007) and QuickBird (2010) were used to study different time cuttings in the forests of the Carpathian region. A significant amount of ground observation was held for getting test information. A Hybrid Classification Method is used for different time cuttings by QuickBird satellite images and implemented in a software environment of ERDAS Imagine. In order to obtain acreage of cuttings made for the period of 2002-2007 and 2007-2010, a comparative analysis of cuttings is introduced in these time intervals and their area is determined on the basis of the digital images of polygons in the ArcGIS software environment.
Źródło:
Geomatics, Landmanagement and Landscape; 2014, 3; 43-54
2300-1496
Pojawia się w:
Geomatics, Landmanagement and Landscape
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Single-server queueing system with external and internal customers
Autorzy:
Tikhonenko, O.
Ziółkowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/199838.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
single-server queueing system with non-homogeneous customers
random volume customers
loss probability
total volume distribution
Laplace transform
Laplace-Stieltjes transform
RAM memory space
prawdopodobieństwo straty
transformacja Laplace'a
transformata Laplace'a-Stieltjesa
pamięć RAM
Opis:
In the paper, we investigate a single-server queueing system with unlimited memory space and non-homogeneous customers (calls) of the two following types: 1) external customers that are served by the system under consideration, 2) internal customers that arrive and interrupt the service process only when an external customer is being served. The external customers appear according to a stationary Poisson process. Customers of each of the above-mentioned types are characterized by some random volume. The customer service time depends arbitrarily on its volume. Two schemes of customer service organization are analyzed. The non-stationary and stationary distributions of the total volume of customers present in the system are determined in terms of Laplace and Laplace-Stieltjes transforms. The stationary first and second moments of total customers volume are also calculated. The obtained results are used to approximate loss characteristics in analogous systems with limited buffer space. Numerical examples illustrating theoretical results are attached as well.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 539-551
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Theoretical Approaches for Safety Levels Measurements – Sequential Probability Ratio Test (SPRT)
Autorzy:
Kharchenko, Volodymyr
Bugayko, Dmytro
Antonova, Anna
Grigorak, Maria
Pawęska, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/503798.pdf
Data publikacji:
2017
Wydawca:
Międzynarodowa Wyższa Szkoła Logistyki i Transportu
Tematy:
the International Civil Aviation Organization (ICAO)
Standards and Recommended Practices (SARPs)
safety of aviation
safety management system, financial management
safety space
safety/protection boundary hypothesis
theory
Sequential Probability Ratio Test (SPRT)
accidents and incidents reports, audits
surveys
flight data analysis (FDA)
voluntary and involuntary reports and confidential communications
Opis:
The principles of civil aviation safety are considered. At present time, aviation is an ultra-safe system, (i.e. a system that experiences less than one catastrophic safety breakdown every one million production cycles). But, unfortunately, we can never state that aviation activities will be absolutely safe. In current conditions the increase of the civil aviation safety level is one of the principal objectives of the world air transport development. The paper pays special attention to the civil aviation threats and risks in the context of globalization processes. The investigation deals with problems of global implementation of Annex 19 to the Convention of the International Civil Aviation. Present research paper discusses new theoretical approaches to searching for methods to assess the “safety space” of civil aviation activity. Special attention is paid to an effective test, proposed by A. Wald.
Źródło:
Logistics and Transport; 2017, 34, 2; 25-32
1734-2015
Pojawia się w:
Logistics and Transport
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-10 z 10

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