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Tytuł:
Criteria for identifying maximum rainfall determined by the peaks-over-threshold (POT) method under the Polish Atlas of Rainfall Intensities (PANDa) project
Autorzy:
Burszta-Adamiak, Ewa
Licznar, Paweł
Zaleski, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/108607.pdf
Data publikacji:
2019
Wydawca:
Instytut Meteorologii i Gospodarki Wodnej - Państwowy Instytut Badawczy
Tematy:
rainfall model
Intensity-Duration-Frequency
IDF
Depth-Duration-Frequency
DDF
extreme value theory
EVT
Opis:
Determination of rainfall maxima from long-term series is one of the more important tasks in urban hydrology. These maxima are useful both in designing land drainage systems and for flood protection in a catchment. The identification of rainfall maxima for the hierarchy of rainfall durations from 5 min to 4 320 min is a fundamental stage of the creation of the first version of the Polish Atlas of Rainfall Intensities (PANDa), which will ultimately be a source of updated and reliable information on design rainfall intensities for designing and modeling rainwater drainage and retention systems in Poland. One of the methods for identifying extreme rainfall events is to use criteria for selecting rainfall based on their depth for a given rainfall frequency and duration. Existing national experience in this respect is based on the results of analyses usually conducted with regard to records from single weather stations. This article presents the results of a study designed to verify the usefulness of the literature-based criteria for identifying rainfall maxima using the peaks-over-threshold (POT) method at a much broader nationwide scale. The study analyzed data from a previously created digital database of rainfall series, which includes 3 000 stationyears (consisting of a 30-year measurement series from 100 weather stations of the Institute of Meteorology and the Water Management - National Research Institute (IMGW-PIB). The study results show that as far as the investigated measurement series are concerned, the criteria based on the literature sources have limited application and can only be used for identifying the largest short-duration rainfall events. To determine rainfall maxima for all of the time intervals analyzed (from 5 minutes to 3 days), it was necessary to develop our own criteria that would allow the methodology for identifying extreme rainfall events to be standardized for all 100 stations.
Źródło:
Meteorology Hydrology and Water Management. Research and Operational Applications; 2019, 7, 1; 3-13
2299-3835
2353-5652
Pojawia się w:
Meteorology Hydrology and Water Management. Research and Operational Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic ordering of random kth record values
Autorzy:
Dziubdziela, Wiesław
Tomicka-Stisz, Agata
Powiązania:
https://bibliotekanauki.pl/articles/1338776.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stochastic comparison
likelihood ratio order
extreme value theory
hazard rate order
k-record values
random k-record values
random sums
Opis:
Let $X_1,X_2,...$ be a sequence of independent and identically distributed random variables with continuous distribution function F(x). Denote by X(1,k),X(2,k),... the kth record values corresponding to $X_1,X_2,...$ We obtain some stochastic comparison results involving the random kth record values X(N,k), where N is a positive integer-valued random variable which is independent of the $X_i$.
Źródło:
Applicationes Mathematicae; 1999, 26, 3; 293-298
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Detecting Risk Transfer in Financial Markets using Different Risk Measures
Autorzy:
Fałdziński, Marcin
Osińska, Magdalena
Zdanowicz, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/483251.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
extreme value theory
risk measures
Granger causality in risk
Chinese financial processes
Opis:
High movements of asset prices constitute intrinsic elements of financial crises. There is a common agreement that extreme events are responsible for that. Making inference about the risk spillover and its effect on markets one should use such methods and tools that can fit properly for catastrophic events. In the paper Extreme Value Theory (EVT) invented particularly for modelling extreme events was used. The purpose of the paper is to model risky assets using EVT and to analyse the transfer of risk across the financial markets all over the world using the Granger causality in risk test. The concept of testing in causality in risk was extended to Spectral Risk Measure i.e., respective hypotheses were constructed and checked by simulation. The attention is concentrated on the Chinese financial processes and their relations with those in the rest of the globe. The original idea of the Granger causality in risk assumes usage of Value at Risk as a risk measure. We extended the scope of application of the test to Expected Shortfall and Spectral Risk Measure. The empirical results exhibit very interesting dependencies.
Źródło:
Central European Journal of Economic Modelling and Econometrics; 2012, 4, 1; 45-64
2080-0886
2080-119X
Pojawia się w:
Central European Journal of Economic Modelling and Econometrics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimating the extremal index through the tail dependence concept
Autorzy:
Ferreira, Marta
Powiązania:
https://bibliotekanauki.pl/articles/729770.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
extreme value theory
extremal index
tail dependence coefficient
Opis:
The extremal index Θ is an important parameter in extreme value analysis when extending results from independent and identically distributed sequences to stationary ones. A connection between the extremal index and the tail dependence coefficient allows the introduction of new estimators. The proposed ones are easy to compute and we analyze their performance through a simulation study. Comparisons with other existing methods are also presented. Case studies within environment are considered in the end.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2015, 35, 1-2; 61-74
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extremal (in)dependence of a maximum autoregressive process
Autorzy:
Ferreira, Marta
Powiązania:
https://bibliotekanauki.pl/articles/729856.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
extreme value theory
autoregressive processes
tail dependence
asymptotic tail independence
Opis:
Maximum autoregressive processes like MARMA (Davis and Resnick, [5] 1989) or power MARMA (Ferreira and Canto e Castro, [12] 2008) have singular joint distributions, an unrealistic feature in most applications. To overcome this pitfall, absolute continuous versions were presented in Alpuim and Athayde [2] (1990) and Ferreira and Canto e Castro [14] (2010b), respectively. We consider an extended version of absolute continuous maximum autoregressive processes that accommodates both asymptotic tail dependence and independence. A full characterization of the bivariate lag-m tail dependence is presented. This will be useful in an adjustment procedure of the model to real data. An illustration with financial data is presented at the end.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2013, 33, 1-2; 47-64
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the tail index estimation of an autoregressive Pareto process
Autorzy:
Ferreira, Marta
Powiązania:
https://bibliotekanauki.pl/articles/729838.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
extreme value theory
autoregressive processes
tail index estimation
Opis:
In this paper we consider an autoregressive Pareto process which can be used as an alternative to heavy tailed MARMA. We focus on the tail behavior and prove that the tail empirical quantile function can be approximated by a Gaussian process. This result allows to derive a class of consistent and asymptotically normal estimators for the shape parameter. We will see through simulation that the usual estimation procedure based on an i.i.d. setting may fall short of the desired precision.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2013, 33, 1-2; 65-77
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ekstremalne ryzyko cenowe na rynku zbóż w Polsce
Extreme price risk on the cereals market in Poland
Autorzy:
Just, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/589863.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Oczekiwany niedobór
Ryzyko cenowe zbóż
Teoria wartości ekstremalnych
Wartość zagrożona
Cereals price risk
Expected Shortfall
Extreme Value Theory
Value at Risk
Opis:
Głównym celem artykułu była ocena ekstremalnego ryzyka cenowego na rynku zbóż w Polsce. Ryzyko zostało oszacowane na podstawie średnich tygodniowych cen skupu zbóż pochodzących z okresu od początku 2004 do połowy października 2014 roku. Ryzyko wyznaczono za pomocą dwóch miar: wartości zagrożonej (VaR) i oczekiwanego niedoboru (ES), wykorzystując teorię wartości ekstremalnych (EVT). Oszacowane miary ryzyka porównano z miarami otrzymanymi w wyniku zastosowania podejścia klasycznego (metody symulacji historycznej oraz wariancji-kowariancji). Wyniki badań wskazują na występowanie różnic w poziomie ekstremalnego ryzyka cenowego na rynku zbóż w Polsce.
The main aim of the paper is to assess the extreme price risk on the cereals market in Poland. The risk was estimated on the basis of average weekly procurement prices of the cereals from the period of the beginning of 2004 till mid-October 2014. Two measures of risk were determined: Value at Risk (VaR) and Expected Shortfall (ES), by means of Extreme Values Theory (EVT). The estimated risk measures were compared with measures obtained with conventional methods (Historical Simulation Method, Variance-Covariance Method). The results of the analysis show the existence of differences in the level of extreme price risk on the cereals market in Poland.
Źródło:
Studia Ekonomiczne; 2016, 297; 66-77
2083-8611
Pojawia się w:
Studia Ekonomiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of the Tails of Market Return Distributions
Autorzy:
Koronkiewicz, Grzegorz
Jamróz, Paweł
Powiązania:
https://bibliotekanauki.pl/articles/429869.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet w Białymstoku. Wydawnictwo Uniwersytetu w Białymstoku
Tematy:
Stock-market returns
fat tails
Extreme Value Theory
Generalized Pareto Distribution
Opis:
The aim of this study is to analyze the tails of the distributions of stock market returns and to compare the differences between them. It is a well-established fact that the vast majority of stock market return distributions exhibit fat tails (a bigger probability of extreme outcomes then in the case of the normal probability). Apart from that, there seems to be a popular opinion that most market returns are negatively skewed with a fatter left tail. The study utilizes two methods for comparing the tails of a distribution. A simple approached based on the sample kurtosis, with a modification that allows for the calculation of kurtosis separately for the right and the left tail of a single distribution and a more complex approach based on the maximum likelihood fitting of the Generalized Pareto Distribution to both tales of standardized return distributions. The second approach is based on the assumptions of the Extreme Value Theory (EVT) and the Pickands-Balkema-de Haan theorem. Both approaches provide similar conclusions. Results suggest that whether the left or the right tail of the return distribution is bigger varies from market to market. All four major equity indices of the Polish Warsaw Stock Exchange exhibited a fatter left tale. However, in the whole sample it was actually more common for the right tail to be heavier, with 12 indices out of 20 exhibiting a fatter right tail then the left. The sample kurtosis indicated that all stock market return’s distributions were heavy tailed, whereas the estimates of Generalized Pareto Distribution parameters did indicate standard or thin tails in two cases. Statistical tests indicate that the differences between the tails of stock market distributions are not statistically significant
Źródło:
Optimum. Economic Studies; 2014, 5(71)
1506-7637
Pojawia się w:
Optimum. Economic Studies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling extreme market risk of polish banks’ debt instruments’ portfolios
Autorzy:
Łupiński, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/425276.pdf
Data publikacji:
2013
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
market risk
Value at Risk
Expected Tail Loss
Extreme Value Theory
Opis:
The main goal of this article is to present extreme market risk evaluation methods which go beyond the standard Value at Risk methodology. Two main approaches: Expected Tail Loss (ETL) and Extreme Value Theory (EVT) are presented and then applied to simulate interest risk stemming from government debt portfolio held by Polish banks. The two methods seem to be very useful to estimate real market risk exposures during the times of distress on the financial markets.
Źródło:
Econometrics. Ekonometria. Advances in Applied Data Analytics; 2013, 3(41); 113-130
1507-3866
Pojawia się w:
Econometrics. Ekonometria. Advances in Applied Data Analytics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modeling extreme mortality risk
Modelowanie ekstremalnego ryzyka umieralności
Autorzy:
Majewska, Justyna
Powiązania:
https://bibliotekanauki.pl/articles/591982.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Extreme risk
Extreme value theory
Mortality
Ekstremalne ryzyko
Teoria wartości ekstremalnych
Umieralność
Opis:
The main aim of the paper is presentation some key aspects in modeling extreme mortality risk. We make a review and discuss measures of extreme mortality risk. Besides, we use approach proposed by J.M. Bravo et al. [2012], that is focused on using EVT to model the statistical behaviour of mortality rates over a given high threshold age. Insurers and reinsurers are interested in assessing the risk exposure to extreme mortality risk.
Celem niniejszej pracy jest przedstawienie kluczowych aspektów w modelowaniu ekstremalnego ryzyka umieralności. Przedstawiamy dwa podejścia pomiaru ryzyka. Po pierwsze, dyskutujemy miary ryzyka ekstremalnego, które są wykorzystywane w pomiarze ryzyka umieralności. Po drugie, przedstawiamy podejście zaproponowane przez J.M. Bravo i innych [2012], polegające na wykorzystaniu EVT do modelowania umieralności powyżej pewnego wieku. Oceną ekstremalnego ryzyka umieralności są zainteresowani ubezpieczyciele i reasekuratorzy.
Źródło:
Studia Ekonomiczne; 2016, 288; 33-46
2083-8611
Pojawia się w:
Studia Ekonomiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Polish contribution to financial econometrics. A review of methods and applications
Polski wkład w ekonometrię finansową. Przegląd metod i zastosowań
Autorzy:
Osińska, Magdalena
Powiązania:
https://bibliotekanauki.pl/articles/425108.pdf
Data publikacji:
2016
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
financial econometrics
volatility models
risk measures
extreme value theory
microstructure
behavioral information
Opis:
Since 1982 the term “financial econometrics” has been present in the enormous literature that covers both methodologies and empirical analyses of the processes observed on the financial markets. The purpose of the presented paper is to indicate the milestones in financial econometrics and their usefulness and to show the contribution of the research from Poland into its development. ‘Pure’ financial econometrics methods are of special interest. The paper is directed at reviewing the recent methodologies and their applications. We focused on the contribution of Polish researchers into financial econometrics over the years, considering both the methodology and the applications. Some of the indicated publications are cited quite often, including international quotations, others are not very popular due to the language of the publication or the local reach of the journal, although many of them can be considered in line with the achievements that are presented in international empirical publications.
Źródło:
Econometrics. Ekonometria. Advances in Applied Data Analytics; 2016, 4 (54); 9-35
1507-3866
Pojawia się w:
Econometrics. Ekonometria. Advances in Applied Data Analytics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimation of the distortion risk premium for heavy-tailed losses under serial dependence
Autorzy:
Ouadjed, H.
Powiązania:
https://bibliotekanauki.pl/articles/255423.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
extreme value theory
mixing processes
tail index estimation
Opis:
In the actuarial literature, many authors have studied estimation of the reinsurance premium for heavy tailed i.i.d. sequences, especially for the Proportional Hazard (PH) due to Wang. The main aim of this paper is to extend this estimation for heavy tailed dependent sequences satisfying some mixing dependence structure. In this study we prove that the new estimator is asymptotically normal. The behavior of the estimator is examined using simulation for MA(1) process. Keywords: extreme value theory, mixing processes, tail index estimation.
Źródło:
Opuscula Mathematica; 2018, 38, 6; 871-882
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of Block Maxima and Peaks Over Threshold Value-at-Risk models for market risk in various economic conditions
Autorzy:
Szubzda, Filip
Chlebus, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/1356736.pdf
Data publikacji:
2020-03-20
Wydawca:
Uniwersytet Warszawski. Wydział Nauk Ekonomicznych
Tematy:
Value-at-Risk
extreme value theory
forecasting
market risk
Opis:
The aim of the presented study was to assess the quality of VaR forecasts in various states of the economic situation. Two approaches based on the extreme value theory were compared: Block Maxima and the Peaks Over Threshold. Forecasts were made on the daily closing prices of 10 major indices in European countries, divided into two groups: emerging countries (Bulgaria, Czech Republic, Lithuania, Latvia, Poland, Slovakia and Hungary) and developed countries (England, France and Germany). Three states of economic situation were analysed: the pre-crisis (2007), the crisis (2008) and the post-crisis (2009) period as out-of-sample. The main conclusion obtained is the too slow process of adapting static EVT-based forecasts to market movements. While in the pre-crisis period the results were satisfactory, in the period of crisis VaR forecasts were too often exceeded.
Źródło:
Central European Economic Journal; 2019, 6, 53; 70 - 85
2543-6821
Pojawia się w:
Central European Economic Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Risk analysis method by the extreme data of dependent exogenous variables
Autorzy:
Tereshchenko, Ihor
Tereshchenko, Anton
Bilous, Nataliya
Shtangey, Svetlana
Warsza, Zygmunt L.
Powiązania:
https://bibliotekanauki.pl/articles/2141854.pdf
Data publikacji:
2021
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
exogenous variable
risk-oriented process approach
extreme value theory
tailed distribution
Opis:
Many practical tasks of data multivariate statistical analysis from the standpoint of a risk-oriented process approach (in accordance with ISO 9001: 2015, 31000: 2018) requires the definition of the risk values for the dependent exogenous variables of some processes. This paper proposes the method, which consist of original stages sequence for calculating value-at-risk (VaR) or conditional-value-at-risk (CVaR) of dependent exogenous variables, presented of the extreme data frame of critical manufacture process parameters or other parameters, for example, extreme data of environmental monitoring and etc. Risk analysis method by the extreme data of dependent exogenous variables, presented of the data matrix, uses the result of solving the formalized problem of defines the tails parameters of the joint distributions of exogenous variables as components of a bivariate random variable. It can be argued that the tails parameters of the joint distributions of dependent exogenous variables make the validated corrections of the VaR and CVaR estimates for such variables. This method expands the practical application of extreme value theory for the value at risk analysis of any dependent variables as process parameters.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2021, 15, 3; 44-53
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ANALYSIS OF TAIL DEPENDENCE STRUCTURE IN GLOBAL FINANCIAL MARKETS
Autorzy:
Trzpiot, Grażyna
Majewska, Justyna
Powiązania:
https://bibliotekanauki.pl/articles/453461.pdf
Data publikacji:
2014
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Katedra Ekonometrii i Statystyki
Tematy:
tail-dependence
extremes
extreme value theory
copula
Opis:
The identification of tail (in)dependencies has drawn major attention in empirical financial studies. We concern on the structure of dependence which refers to dependence as symmetric or asymmetric, tail-dependent or tail-independent. We present the proper procedure of analysis dependence structure between some financial instruments. Our empirical results demonstrate different tail dependence structures underlying various global financial markets.
Źródło:
Metody Ilościowe w Badaniach Ekonomicznych; 2014, 15, 1; 174-182
2082-792X
Pojawia się w:
Metody Ilościowe w Badaniach Ekonomicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
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