1,721,022 research outputs found
Persistently Good Strategies for Nonleavable Stochastic Games With Finite State Space
The notion of persistently optimal strategy in gambling theory is analogous to that of subgameperfect equilibria in game theory. We prove the existence of persistently ffl-optimal strategies for the players engaged in a nonleavable stochastic game with finite state space. -- v -- Contents 1 Introduction and Preliminaries 1 2 Proof of Theorem 1.1 -- 1 -- Persistently Good Strategies for Nonleavable Stochastic Games With Finite State Space Piercesare Secchi William D. Sudderth 1 Introduction and Preliminaries The purpose of this paper is to prove the existence of persistently ffl-optimal strategies for the players engaged in a nonleavable stochastic game. This is a two-person, multi-stage, zero-sum competition which Maitra and Sudderth (1992) defined by means of five elements: a state space S; two finite sets of actions A and B; for player I and II respectively, a law of motion q which maps S \Theta A \Theta B into the set of probability distributions defined on S and a bounded ut..
Using Statistics to Shed Light on the Dynamics of the Human Genome: A Review
In this article we review a number of recent studies in which information derived from genomic alignments and data concerning composition, location and biochemical features of the nuclear DNA are used to investigate salient properties and determinants of change (mutations) in the human genome. The studies under review, all conducted by an interdisciplinary group of investigators at The Pennsylvania State University, required the use of a range of statistical techniques—from regression, to multivariate analysis, to the modeling of latent structures
Model Free Estimation of Causal Effects of Different Stimuli on Neuron Activities
Several activities and functions of neurons are determined by intracellular signals generated by calcium ions, with calcium levels rapidly increasing during neuronal activity. Technological advances in calcium imaging techniques have allowed a large amount of data to be collected to study brain behavior at the neuronal level. We investigate the effects of different sensory stimuli on neuronal activity in the visual cortex of mice. The novel contribution of this work is the investigation of the relationship between visual stimuli and calcium concentration levels in terms of causal effects. Estimation and inference are carried out in a potential outcomes framework, where the dynamic behavior of calcium traces is managed by borrowing tools from the randomized experiments literature. Results show significant causal effects on the neuronal activity due to the smoothness and geometry of the stimuli
On the existence of good stationary strategies for nonleavable stochastic games
This paper discusses the problem regarding the existence of optimal or nearly optimal stationary strategies for a player engaged in a nonleavable stochastic game. It is known that, for these games, player I need not have an -optimal stationary strategy even when the state space of the game is finite. On the contrary, we show that uniformly -optimal stationary strategies are available to player II for nonleavable stochastic games with finite state space. Our methods will also yield sufficient conditions for the existence of optimal and -optimal stationary strategies for player II for games with countably infinite state space. With the purpose of introducing and explaining the main results of the paper, special consideration is given to a particular class of nonleavable games whose utility is equal to the indicator of a subset of the state space of the game.Stochastic games · leavable games · gambling theory
Rendere visibile la diversità invisibile. Big data e algoritmi: quantificare, interpretare e prevedere
Discussion of “A review of data science in business and industry and a future view,” by Grazia Vicario and Shirley Coleman
Going Beyond Counting First Authors in Author Co-citation Analysis
The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
O2S2: A new venue for computational geostatistics
Applied sciences have witnessed an explosion of georeferenced data. Object oriented spatial statistics (O2S2) is a recent system of ideas that provides a solid framework where the new challenges posed by the GeoData revolution can be faced, by grounding the analysis on a powerful geometrical and topological approach. We shall present a perspective on O2S2, as a fruitful ground where novel computational approaches to geosciences can be developed, at the very interface among varied fields of applied sciences – including mathematics, statistics, computer science and engineering
On the role of statistics in the era of big data: A call for a debate
While discussing the plenary talk of Dunson (2016) at the 48th Scientific Meeting of the Italian Statistical Society, I formulated a few general questions on the role of statistics in the era of big data which stimulated an interesting debate. They are reported here with the aim of engaging a larger audience on an issue which promises to change radically our discipline and, more generally, science as we know it. But is it so
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