Complete sufficient statistics for Markov chains
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2017, Vol 0, Issue 1
Abstract
This paper presents a complete suffcient statistic for the class of Markov chains with a finite state S for some natural subspaces PZ of the set of all transition probabilities P. This statistic is the random transition count F for Markov chains with a fixed length and a fixed initial state. A summary of the recent results gives a brief exposition of completeness of F with some extra restrictions on the sets Z and S.
Authors and Affiliations
Agnieszka Palma
Lusin's type theorems for limitable functions / Twierdzenia typu Łuzina dla funkcji limesowalnych
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On a structure of the Lie algebroid of a vector bundle / O strukturze algebroidu Liego wiązki wektorowej
The aim of the article is a construction of the Lie algebroid of a vector bundle without referring to geometrical interpretations which come from jet bundles or the Lie groupoid of linear isomorphisms between fibres of t...
Binary and ternary structures in physics I. The hierarchy structure of Turing machine in physics / Struktury binarne i ternarne w fizyce I. Struktura hierarchiczna maszyny Turinga w fizyce.
We recall some basic facts on Turing machine and observe its hierarchy structure. Associating the particle and anti-particle to the push down automaton and three quarks to linear bounded automaton, respectively. We can d...
On some coeffcient inequality in the subclass of close-to-convex functions
A coefficient inequality related to the Fekete-Szegö-Goluzin problem in some subclass of close-to-convex functions is shown.
Some remarks on Schur's theorem for bounded analytic functions / Pewne uwagi związane z twierdzeniem Schura dla ograniczonych funkcji analitycznych
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