Temat: divisibility - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Geometrically strictly semistable laws as the limit laws
Autorzy:: Malinowski, Marek
Powiązania:: https://bibliotekanauki.pl/articles/729998.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: infinite divisibility
geometric infinite divisibility
geometric semistability
random sums
limit laws
characteristic function
Opis:: A random variable X is geometrically infinitely divisible iff for every p ∈ (0,1) there exists random variable $X_p$ such that $X\stackrel{d}{=} ∑_{k=1}^{T(p)}X_{p,k}$, where $X_{p,k}$'s are i.i.d. copies of $X_p$, and random variable T(p) independent of ${X_{p,1},X_{p,2},...}$ has geometric distribution with the parameter p. In the paper we give some new characterization of geometrically infinitely divisible distribution. The main results concern geometrically strictly semistable distributions which form a subset of geometrically infinitely divisible distributions. We show that they are limit laws for random and deterministic sums of independent random variables.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 79-97
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On some limit distributions for geometric random sums
Autorzy:: Malinowski, Marek
Powiązania:: https://bibliotekanauki.pl/articles/729662.pdf
Data publikacji:: 2008
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: random sum
infinite divisibility
semistability
geometric infinite divisibility
geometric stability
geometric semistability
characteristic function
limit distribution
Lévy process
Opis:: We define and give the various characterizations of a new subclass of geometrically infinitely divisible random variables. This subclass, called geometrically semistable, is given as the set of all these random variables which are the limits in distribution of geometric, weighted and shifted random sums. Introduced class is the extension of, considered until now, classes of geometrically stable [5] and geometrically strictly semistable random variables [10]. All the results can be straightforward transfered to the case of random vectors in $ℝ^d$.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2008, 28, 2; 247-266
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Zenon z Elei – doksografia i fragmenty
Zeno of Elea – doxography and fragments
Autorzy:: Wesoły, Marian
Powiązania:: https://bibliotekanauki.pl/articles/1046811.pdf
Data publikacji:: 2013-12-31
Wydawca:: Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:: Zeno of Elea
Plato’s and Aristotle’s account of his arguments against the one – many
infinite divisibility
motion
place
and sound
Zeno’s dialectic
Opis:: After a very general exegetical introduction, we put forward a new arrangement and translation of the major testimonies on Zeno of Elea. The few passages that are generally regarded as fragmenta verbatim are also cited in the original. The source material is presented in a reconstructive order that is somewhat different from the previous editions of Zeno. Our aim is to capture the specific problematic context of the ancient authors who refer and question Zeno’s arguments, without isolating and break up theses texts. The particular passages have been provided with thematic headings.
Źródło:: Symbolae Philologorum Posnaniensium Graecae et Latinae; 2013, 23, 2; 69-96
0302-7384
Pojawia się w:: Symbolae Philologorum Posnaniensium Graecae et Latinae
Dostawca treści:: Biblioteka Nauki

Artykuł

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