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We study long-range magnitude cross-correlations in collective modes of real-world data from finance, physiology, and genomics using time-lag random matrix theory. We find longrange magnitude cross-correlations i) in time series of price fluctuations, ii) in physiological time series, both healthy and pathological, indicating scale-invariant interactions… (More)

- Boris Podobnik, Davor Horvatic, Alexander M Petersen, Branko Urosevic, H Eugene Stanley
- Proceedings of the National Academy of Sciences…
- 2010

We analyze the size dependence and temporal stability of firm bankruptcy risk in the US economy by applying Zipf scaling techniques. We focus on a single risk factor--the debt-to-asset ratio R--in order to study the stability of the Zipf distribution of R over time. We find that the Zipf exponent increases during market crashes, implying that firms go… (More)

- Boris Podobnik, Davor Horvatic, Alexander M Petersen, H Eugene Stanley
- Proceedings of the National Academy of Sciences…
- 2009

In finance, one usually deals not with prices but with growth rates R, defined as the difference in logarithm between two consecutive prices. Here we consider not the trading volume, but rather the volume growth rate R, the difference in logarithm between two consecutive values of trading volume. To this end, we use several methods to analyze the properties… (More)

Noisy signals in many real-world systems display long-range autocorrelations and long-range cross-correlations. Due to periodic trends, these correlations are difficult to quantify. We demonstrate that one can accurately quantify power-law cross-correlations between different simultaneously recorded time series in the presence of highly non-stationary… (More)

- Duan Wang, Boris Podobnik, Davor Horvatić, H Eugene Stanley
- Physical review. E, Statistical, nonlinear, and…
- 2011

We propose a modified time lag random matrix theory in order to study time-lag cross correlations in multiple time series. We apply the method to 48 world indices, one for each of 48 different countries. We find long-range power-law cross correlations in the absolute values of returns that quantify risk, and find that they decay much more slowly than cross… (More)

- Boris Podobnik, Aljoša Valentinčič, Davor Horvatić, H Eugene Stanley
- Proceedings of the National Academy of Sciences…
- 2011

Because financial crises are characterized by dangerous rare events that occur more frequently than those predicted by models with finite variances, we investigate the underlying stochastic process generating these events. In the 1960s Mandelbrot [Mandelbrot B (1963) J Bus 36:394-419] and Fama [Fama EF (1965) J Bus 38:34-105] proposed a symmetric Lévy… (More)

- D Gamberger, D Horvatić, S Sekušak, A Sabljić
- Environmental science and pollution research…
- 1996

The experts' judgement data on microbial degradation were used to develop the first general QSAR biodegradability model (Boethling and Sabljic, 1989) which is composed of a set of structural descriptors and a set of quantitative rules. Its evaluation and validation with experimental biodegradation data clearly show that the developed model gives a realistic… (More)

- Boris Podobnik, Davor Horvatic, Fabio Pammolli, Fengzhong Wang, H Eugene Stanley, I Grosse
- Physical review. E, Statistical, nonlinear, and…
- 2008

We study annual logarithmic growth rates R of various economic variables such as exports, imports, and foreign debt. For each of these variables we find that the distributions of R can be approximated by double exponential (Laplace) distributions in the central parts and power-law distributions in the tails. For each of these variables we further find a… (More)

We analyze —for a large set of stocks comprising four financial indices— the annual logarithmic growth rate R and the firm size, quantified by the market capitalization MC. For the Nasdaq Composite and the New York Stock Exchange Composite we find that the probability density functions of growth rates are Laplace ones in the broad central region, where the… (More)

Public debt is one of the important economic variables that quantitatively describes a nation’s economy. Because bankruptcy is a risk faced even by institutions as large as governments (e.g., Iceland), national debt should be strictly controlled with respect to national wealth. Also, the problem of eliminating extreme poverty in the world is closely… (More)