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Wyszukujesz frazę "Małecka, Marta" wg kryterium: Autor


Wyświetlanie 1-7 z 7
Tytuł:
Testing for a serial correlation in VaR failures through the exponential autoregressive conditional duration model
Autorzy:
Małecka, Marta
Powiązania:
https://bibliotekanauki.pl/articles/1363619.pdf
Data publikacji:
2021-03-03
Wydawca:
Główny Urząd Statystyczny
Tematy:
VaR backtesting
exponential autoregressive conditional duration
boundary of the parameter space
test size
test power
Opis:
Although regulatory standards, currently developed by the Basel Committee on Banking Supervision, anticipate a shift from VaR to ES, the evaluation of risk models currently remains based on the VaR measure. Motivated by the Basel regulations, we address the issue of VaR backtesting and contribute to the debate by exploring statistical properties of the exponential autoregressive conditional duration (EACD) VaR test. We show that, under the null, the tested parameter lies at the boundary of the parameter space, which can profoundly affect the accuracy of this test. To compensate for this deficiency, a mixture of chi-square distributions is applied. The resulting accuracy improvement allows for the omission of the Monte Carlo simulations used to implement the EACD VaR test in earlier studies, which dramatically improves the computational efficiency of the procedure. We demonstrate that the EACD approach to testing VaR has the potential to enhance statistical inference in most problematic cases - for small samples and for those close to the null.
Źródło:
Statistics in Transition new series; 2021, 22, 1; 145-162
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Duration-Based Approach to VaR Independence Backtesting
Autorzy:
Małecka, Marta
Powiązania:
https://bibliotekanauki.pl/articles/465936.pdf
Data publikacji:
2014
Wydawca:
Główny Urząd Statystyczny
Tematy:
VaR backtesting
Markov test, Haas test
TUFF test
Weibull test
gamma test
EACD test
Opis:
Dynamic development in the area of value-at-risk (VaR) estimation and growing implementation of VaR-based risk valuation models in investment companies stimulate the need for statistical methods of VaR models evaluation. Following recent changes in Basel Accords, current UE banking supervisory regulations require internal VaR model backtesting, which provides another strong incentive for research on relevant statistical tests. Previous studies have shown that commonly used VaR independence Markov-chain-based testing procedure exhibits low power, which constitutes a particularly serious problem in the case of finite-sample settings. In the paper, as an alternative to the popular Markov test an overview of the group of duration-based VaR backtesting procedures is presented along with exploration of their statistical properties while rejecting a non-realistic assumption of infinite sample size. The Monte Carlo test technique was adopted to provide exact tests, in which asymptotic distributions were replaced with simulated finite sample distributions. A Monte Carlo study, based on the GARCH model, was designed to investigate the size and the power of the tests. Through the comparative analysis we found that, in the light of observed statistical properties, the duration-based approach was superior to the Markov test.
Źródło:
Statistics in Transition new series; 2014, 15, 4; 627-636
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Modification of the Probability Weighted Method of Moments and its Application to Estimate the Financial Return Distribution Tail
Autorzy:
Małecka, Marta
Pekasiewicz, Dorota
Powiązania:
https://bibliotekanauki.pl/articles/465796.pdf
Data publikacji:
2014
Wydawca:
Główny Urząd Statystyczny
Tematy:
PWMM
generalized Pareto distribution
tail estimate
distribution function estimate
Opis:
The issue of fitting the tail of the random variable with an unknown distribution plays a pivotal role in finance statistics since it paves the ground for estimation of high quantiles and subsequently offers risk measures. The parametric estimation of fat tails is based on the convergence to the generalized Pareto distribution (GPD). The paper explored the probability weighted method of moments (PWMM) applied to estimation of the GPD parameters. The focus of the study was on the tail index, commonly used to characterize the degree of tail fatness. The PWMM algorithm requires specification of the cdf estimate of the so-called excess variable and depends on the choice of the order of the probability weighted moments. We suggested modification of the PWMM method through the application of the level crossing empirical distribution function. Through the simulation study, the paper investigated statistical properties of the GPD shape parameter estimates with reference to the PWMM algorithm specification. The simulation experiment was designed with the use of fat-tailed distributions with parameters assessed on the basis of the empirical daily data for DJIA index. The results showed that, in comparison to the commonly used cdf formula, the choice of the level crossing empirical distribution function improved the statistical properties of the PWMM estimates. As a complementary analysis, the PWMM tail estimate of DJIA log returns distribution was presented.
Źródło:
Statistics in Transition new series; 2014, 15, 3; 495-506
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
REPORT The XXXII International Conference on Multivariate Statistical Analysis, 18–20 November 2013, Łódź, Poland
Autorzy:
Małecka, Marta
Mikulec, Artur
Powiązania:
https://bibliotekanauki.pl/articles/465883.pdf
Data publikacji:
2014
Wydawca:
Główny Urząd Statystyczny
Źródło:
Statistics in Transition new series; 2014, 15, 3; 523-526
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-7 z 7

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