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► Journal BrowserSpecial Issue "Probability, Statistics and Their Applications 2021"
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Probability and Statistics".
Deadline for manuscript submissions: 30 June 2022 | Viewed by 9712
Special Issue Editor
2. “Costin C. Kiritescu” National Institute of Economic Research, 050711 Bucharest, Romania
3. Faculty of Mathematics and Computer Science, University of Bucharest, 010014 Bucharest, Romania
Interests: statistics; decision theory; operational research; variational inequalities; equilibrium theory; generalized convexity; information theory; biostatistics; actuarial statistics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Statistics and probability are important domains in the scientific world, having many applications in various fields, such as engineering, reliability, medicine, biology, economics, physics, and not only, probability laws providing an estimated image of the world we live in. This Special Volume deals targets some certain directions of the two domains as described below.
Some applications of statistics are clustering of random variables based on simulated and real data or scan statistics, the latter being introduced in 1963 by Joseph Naus. In reliability theory, some important statistical tools are hazard rate and survival functions, order statistics, and stochastic orders. In physics, the concept of entropy is at its core, while special statistics were introduced and developed, such as statistical mechanics and Tsallis statistics.
~In economics, statistics, mathematics, and economics formed a particular domain called econometrics. ARMA models, linear regressions, income analysis, and stochastic processes are discussed and analyzed in the context of real economic processes. Other important tools are Lorenz curves and broken stick models.
~Theoretical results such as modeling of discretization of random variables and estimation of parameters of new and old statistical models are welcome, some important probability laws being heavy-tailed distributions. In recent years, many distributions along with their properties have been introduced in order to better fit the growing data available.
The purpose of this Special Issue is to provide a collection of articles that reflect the importance of statistics and probability in applied scientific domains. Papers providing theoretical methodologies and applications in statistics are welcome.
Prof. Dr. Vasile Preda
Guest Editor
Manuscript Submission Information
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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- Applied and theoretical statistics
- New probability distributions and estimation methods
- Broken stick models
- Lorenz curve
- Scan statistics
- Discretization of random variables
- Clustering of random variables
Planned Papers
The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.
Title: On Time Series Clustering Metrics
Authors: Achilleas ANASTASIOU 1; Petros HATZOPOULOS 1; Alexandros KARAGRIGORIOU 1*; George MAVRIDOGLOU 2
Affiliation: 1University of the Aegean, Greece, [email protected];
2University of Peloponnese, Greece
*Correspondence: [email protected]
Abstract: In this work our purpose is to present and discuss various Multivariate Time Series Clustering Techniques for classification purposes and see how similarity measures affect the statistical procedures. One of the main contributions of this work is the development of two new distance measure algorithms, called Causality Within Groups (CAWG) and Causality Between Groups (CABG) both of which are based on the well-known Granger Causality. The proposed distance algorithms are suitable for classification purposes for the analysis of multivariate time series data with emphasis on financial and economic data where causal relationships are frequently present.
Title: Continuous-Time Step semi-Markov Models and Applications
Authors: Vlad Stefan BARBU1*, Guglielmo D'AMICO 2 and Andreas MAKRIDES 3
Affiliation: 1Laboratory of Mathematics Raphael Salem, University of Rouen Normandy, France; [email protected]
2Department of Pharmacy, University G. d'Annunzio of Chieti-Pescara, Italy; [email protected]
3University of Uclan, Cyprus & University of the Aegean, Greece; [email protected]
*Correspondence: [email protected]
Abstract: In this paper we introduce a class of stochastic processes in continuous time, called step semi-Markov processes. The main idea comes from bringing and additional insight to a classical semi-Markov process: the transition between two states is done through two or several steps. This is an extension of a previous work on discrete-time strep semi-Markov processes. After defining the models and the main characteristics of interest, we derive the recursive evolution equations for two-step semi-Markov processes.
Title: A non-extensive joint representation for minimal entropy martingale measures with applications to semi-markov regime switching interest rate modeling
Authors: Silvia DEDU1*, Mihaita DRAGAN2, Muhammad SHERAZ3
Affiliation: 1Department of Applied Mathematics, Bucharest University of Economic Studies, Romania, [email protected]
2Faculty of Mathematics and Computer Science, University of Bucharest, Romania, [email protected]
3Department of Mathematical Sciences, Institute of Business Administration Karachi, Pakistan, [email protected]
*Correspondence: [email protected]
Abstract: In this paper a joint representation of extensive and non-extensive entropy measures is developed. The underlying theoretical properties are investigated and applied to solve the minimal entropy martingale measure problem for deriving risk-neutral densities and interest rate modelling. The Lambert function and a new type of approach are used to obtain results without depending on stochastic calculus techniques.
Title: Comparison of Poisson probabilistic models using Chi square statistics as criterion. Application in exact scores of football matches
Authors: Miltiadis CHALIKIAS1*, Dimitrios KALIVOKAS2, Panagiota LALOU1
Affiliation: 1Department of Accounting and Finance, University of West Attica, Greece, [email protected]; [email protected]
2Department of Business Administration, University of Peloponnese, Greece, [email protected]
*Correspondence: [email protected]
Abstract: The purpose of this paper is to suggest and analyze a new method to predict exact scores in football matches and to exhibit its results. It is well known that the Poisson distribution is used in this field. Wanting to give a better approach, we thought to use not only the goals, but the final efforts’ average too, so as to create parameters more beneficial to us. For the comparison of the Poisson probabilistic models Chi square goodness of it statistics was used. Greek Football league of 2014-2015 was used as an application. The model and its results could become useful in the prediction of exact scores.
Title: On the existence of absolute portfolios
Authors: Marius RĂDULESCU1*, Constanta Zoie RĂDULESCU2, Gheorghiţă ZBĂGANU1
Affiliation: 1“Gheorghe Mihoc – Caius Iacob” Institute of Mathematical Statistics and
Applied Mathematics of the Romanian Academy, [email protected]; [email protected]
Casa Academiei Române, Calea 13 Septembrie no. 13, 050711 Bucharest, Romania.
2National Institute for Research and Development in Informatics, 8-10 Averescu Avenue, 011455, Bucharest 1, Romania, [email protected]
*Correspondence: [email protected]
Abstract: Let Δn be the n-dimensional simplex, ξ=( ξ1, ξ2,…, ξn) be an n-dimensional random vector and U be a set of utility functions. A vector x*∈ Δn is a U -absolute portfolio if E(u(ξ^T x^* ))≥E(u(ξ^T x)) for every x∈Δn and u∈U. In this paper we investigate the following problem: For what random vectors ξ, U-absolute portfolios do exist? If U2 is the set of concave utility functions we find necessary and sufficient conditions on the distribution of the random vector ξ in order that it admits a U2-absolute portfolio. We prove that if ξ is bounded below then CARA-absolute portfolios are U2-absolute portfolios too. The classical case when the random vector ξ is normal is analyzed. We make a complete investigation of the simplest case of a bi-dimensional random vector ξ = (ξ1, ξ2). We give a complete characterization and we build two dimensional distributions that are absolutely continuous and admit U2-absolute portfolios.