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    Wyświetlanie 1-7 z 7
    Tytuł:
    Toehold purchase problem: a comparative analysis of two strategies
    Autorzy:
    Banakh, I.
    Banakh, T.
    Vovk, M.
    Trisch, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/411444.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    toehold
    tender offer
    mixed strategy
    takeover
    beta function
    Opis:
    Toehold purchase, defined here as purchase of one share in a firm by an investor preparing a tender offer to acquire majority of shares in it, reduces by one the number of shares this investor needs for majority. In the paper we construct mathematical models for the toehold and no-toehold strategies and compare the expected profits of the investor and the probabilities of takeover the firm in both strategies. It turns out that the expected profits of the investor in both strategies coincide. On the other hand, the probability of takeover the firm using the toehold strategy is considerably higher comparing to the no-toehold strategy. In the analysis of the models we apply the apparatus of incomplete Beta functions and some refined bounds for central binomial coefficients.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2015, 4, 1; 3-10
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Eulers Beta function diagonalized and a related functional equation
    Autorzy:
    Choczewski, B.
    Wach-Michalik, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/2049975.pdf
    Data publikacji:
    2004
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Euler's Beta function
    diagonalization
    functional equations
    convex functions
    Opis:
    Euler's Gamma function is the unique logarithmically convex solution of the functional equation (1), cf. the Proposition. In this paper we deal with the function $\beta: \mathbb{R}_{+} \rarr \mathbb{R}_{+}, \beta(x) := B(x, x)$, where B(x, y) is the Euler Beta function. We prove that, whenever a function h is asymptotically comparable at the origin with the function a log +b, a > 0, if $\varphi: \mathbb{R}_{+} \rarr \mathbb{R}_{+}$ satisfies equation (5) and the function $h \circ \varphi$ is continuous and ultimately convex, then $\varphi = \beta$.
    Źródło:
    Opuscula Mathematica; 2004, 24, 1; 35-41
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Beta Fuzzy Logic Systems: Approximation Properties in the mimo Case
    Autorzy:
    Alimi, A. M.
    Hassine, R.
    Selmi, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908193.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    informatyka
    beta function
    universal approximation property
    best approximation property
    interpolation property
    Sugeno fuzzy model
    MIMO systems
    Opis:
    Many researches have been interested in the approximation properties of Fuzzy Logic Systems (FLS), which, like neural networks, can be seen as approximation schemes. Almost all of them tackled the Mamdani fuzzy model, which was shown to have many interesting approximation features. However, only in few cases the Sugeno fuzzy model was considered. In this paper, we are interested in the zero-order Multi-Input-Multi-Output (MIMO) Sugeno fuzzy model with Beta membership functions. This leads to Beta Fuzzy Logic Systems (BFLS). We show that BFLSs are universal approximators. We also prove that they possess the best approximation property and the interpolation characteristic.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 225-238
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Beta Fuzzy Logic Systems: Approximation Properties in the Siso Case
    Autorzy:
    Alimi, A. M.
    Hassine, R.
    Selmi, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/911157.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    funkcja beta
    własność aproksymacyjna
    model rozmyty
    beta function
    universal approximation property
    best approximation property
    interpolation property
    Sugeno fuzzy model
    SISO systems
    Opis:
    In this paper, a Single-Input Single-Output (SISO) Sugeno fuzzy model of the zeroth order with Beta membership functions for input variables is adopted. After the introduction of Beta Fuzzy Logic Systems (BFLS) a constructive theory is developed to establish the fact that they are universal approximators. Based on this theory, an algorithm, which can actually construct a BFLS approximating a given continuous function with an arbitrary degree of accuracy, is described. We then show that BFLSs satisfy more critical properties which are the best approximation property and the interpolation property. We complete the paper with a series of numerical comparisons between the approximation performances of BFLSs and other classes of widely used fuzzy logic systems. These comparisons confirm that BFLSs perform best in all the cases studied.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 4; 857-875
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multivalent Harmonic Functions defined by m-tuple Integral operators
    Autorzy:
    Sharma, Poonam
    Powiązania:
    https://bibliotekanauki.pl/articles/745994.pdf
    Data publikacji:
    2010
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Multivalent Harmonic starlike (convex) functions
    Erdélyi-Kober integral operator
    Hohlov operator
    Carlson and Shaffer operator
    convolution
    Wright generalized hypergeometric function
    Gauss hypergeometric function
    incomplete beta function
    Opis:
    In this paper a multivalent harmonic function is defined by m-tuple integral operators and some classes of these multivalent harmonic functions are studied in terms of inequalities involving Wright generalized hypergeometric functions. Some special cases of our results are also mentioned.
    Źródło:
    Commentationes Mathematicae; 2010, 50, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Beta neuro-fuzzy systems
    Autorzy:
    Alimi, A. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1931568.pdf
    Data publikacji:
    2003
    Wydawca:
    Politechnika Gdańska
    Tematy:
    beta function
    kernel based neural networks
    Sugeno fuzzy model
    neuro-fuzzy systems
    universal approximation property
    learning algorithms
    incremental learning
    Opis:
    In this paper we present the Beta function and its main properties. A key feature of the Beta function, which is given by the central-limit theorem, is also given. We then introduce a new category of neural networks based on a new kernel: the Beta function. Next, we investigate the use of Beta fuzzy basis functions for the design of fuzzy logic systems. The functional equivalence between Beta-based function neural networks and Beta fuzzy logic systems is then shown with the introduction of Beta neuro-fuzzy systems. By using the SW theorem and expanding the output of the Beta neuro-fuzzy system into a series of Beta fuzzy-based functions, we prove that one can uniformly approximate any real continuous function on a compact set to any arbitrary accuracy. Finally, a learning algorithm of the Beta neuro-fuzzy system is described and illustrated with numerical examples.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2003, 7, 1; 23-41
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Near-exact distributions for the generalized Wilks Lambda statistic
    Autorzy:
    Grilo, Luís
    Coelho, Carlos
    Powiązania:
    https://bibliotekanauki.pl/articles/729992.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    independent Beta random variables
    characteristic function
    sum of Gamma random variables
    likelihood ratio test statistic
    proximity measures
    Opis:
    Two near-exact distributions for the generalized Wilks Lambda statistic, used to test the independence of several sets of variables with a multivariate normal distribution, are developed for the case where two or more of these sets have an odd number of variables. Using the concept of near-exact distribution and based on a factorization of the exact characteristic function we obtain two approximations, which are very close to the exact distribution but far more manageable. These near-exact distributions equate, by construction, some of the first exact moments and correspond to cumulative distribution functions which are practical to use, allowing for an easy computation of quantiles. We also develop three asymptotic distributions which also equate some of the first exact moments. We assess the proximity of the asymptotic and near-exact distributions obtained to the exact distribution using two measures based on the Berry-Esseen bounds. In our comparative numerical study we consider different numbers of sets of variables, different numbers of variables per set and different sample sizes.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2010, 30, 1; 53-86
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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