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Volatility Models Applied to Geophysics and High Frequency Financial Market Data

Maria C Mariani, Md Al Masum Bhuiyan, Osei K Tweneboah, Hector Gonzalez-Huizar, Ionut Florescu

arXiv 26 Jan 2019 · Statistics — Applications · publishedPhysica A Statistical Mechanics and its Applications (2018) · 7 citations (OpenAlex)

arXiv:1901.09145 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This work is devoted to the study of modeling geophysical and financial time series. A class of volatility models with time-varying parameters is presented to forecast the volatility of time series in a stationary environment. The modeling of stationary time series with consistent properties facilitates prediction with much certainty. Using the GARCH and stochastic volatility model, we forecast one-step-ahead suggested volatility with +/- 2 standard prediction errors, which is enacted via Maximum Likelihood Estimation. We compare the stochastic volatility model relying on the filtering technique as used in the conditional volatility with the GARCH model. We conclude that the stochastic volatility is a better forecasting tool than GARCH (1, 1), since it is less conditioned by autoregressive past information.

Citation extraction

24
references
26
in-text mentions
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distinct cited
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main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Engle, R.F (1982) Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of United Kingdom Inflation0.64422100%
2Bollerslev, T (1986) Generalized Autoregressive Conditional Heteroskedasticity0.64422100%
3Brockman, P., and Chowdhury, M (1997) Deterministic versus stochastic volatility: implications for option pricing models0.40511100%
4Brys, G., Hubert, M., and Struyf, A (2004) A Robustification of the Jarque-bera test of normality0.40511100%
5Cipra, T. and Romera, T (1991) Robust Kalman Filter and Its Application in Time Series Analysis0.40511100%
6Commandeur, J.F., and Koopman, S.J (2007) An Introduction to State Space Time Series Analysis0.40511100%
7Eliason, S.R (1993) Maximum Likelihood Estimation-Logic and Practice0.40511100%
8Fong, S.J., and Nannan, Z (2011) Towards an Adaptive Forecasting of Earthquake Time Series from Decomposable and Salient Characteristics0.40511100%
9N. K. Gupta and R. K. Mehra (1974) Computational aspects of maximum likelihood estimation and reduction in sensitivity function calculations0.40511100%
10Hamiel, Y., Amit, R., Begin, Z.B., Marco, S., Katz, O., Salamon, A.,… (2009) The seismicity along the Dead Sea fault during the last 60,000 years0.40511100%

Showing the top 10 of 24 scored citations.