Thomas Mikosch
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Thomas Mikoschmathematics Degrees
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Mathematics
Thomas Mikosch's Degrees
- PhD Mathematics University of Copenhagen
- Masters Mathematics University of Copenhagen
- Bachelors Mathematics University of Copenhagen
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(Suggest an Edit or Addition)Thomas Mikosch's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Modelling Extremal Events (1997) (3366)
- Regularly varying functions (2006) (638)
- Nonstationarities in Financial Time Series, the Long-Range Dependence, and the IGARCH Effects (2004) (517)
- Limit theory for the sample autocorrelations and extremes of a GARCH (1,1) process (2000) (408)
- Lévy processes : theory and applications (2001) (382)
- Regular variation of GARCH processes (2002) (356)
- Quasi-maximum-likelihood estimation in conditionally heteroscedastic time series: A stochastic recurrence equations approach (2006) (332)
- Handbook of Financial Time Series (2009) (320)
- Is network traffic approximated by stable Levy motion or fractional Brownian motion (2002) (299)
- Elementary stochastic calculus with finance in view (1998) (296)
- The sample autocorrelations of heavy-tailed processes with applications to ARCH (1998) (241)
- Copulas: Tales and facts (2006) (232)
- PARAMETER-ESTIMATION FOR ARMA MODELS WITH INFINITE VARIANCE INNOVATIONS (1995) (209)
- The extremogram: a correlogram for extreme events (2009) (196)
- Large Deviations of Heavy-Tailed Sums with Applications in Insurance (1998) (183)
- A characterization of multivariate regular variation (2002) (179)
- Large deviations of heavy-tailed random sums with applications in insurance and finance (1997) (163)
- Explosive Poisson shot noise processes with applications to risk reserves (1995) (151)
- Change of structure in financial time series, long range dependence and the GARCH model (1998) (140)
- The supremum of a negative drift random walk with dependent heavy-tailed steps (2000) (132)
- Non-Life Insurance Mathematics: An Introduction with the Poisson Process (2006) (128)
- Stochastic Models with Power-Law Tails (2016) (128)
- Non-Life Insurance Mathematics (2004) (118)
- Modeling Dependence and Tails of Financial Time Series (2003) (109)
- Functional large deviations for multivariate regularly varying random walks (2005) (101)
- Stochastic Models with Power-Law Tails: The Equation X = Ax + B (2016) (99)
- Changes of structure in financial time series and the GARCH model (2004) (98)
- Exact simulation of Brown-Resnick random fields at a finite number of locations (2014) (96)
- Regular variation, subexponentiality and their applications in probability theory (1999) (95)
- Non-Life Insurance Mathematics: An Introduction with Stochastic Processes (2006) (92)
- Modeling teletraffic arrivals by a Poisson cluster process (2006) (83)
- Long range dependence effects and ARCH modeling (2003) (83)
- Stable limits for sums of dependent infinite variance random variables (2009) (72)
- Random quadratic forms and the bootstrap for U -statistics (1994) (72)
- Extreme Value Theory for GARCH Processes (2009) (72)
- Stable limits of martingale transforms with application to the estimation of garch parameters (2006) (71)
- Extreme value theory for space-time processes with heavy-tailed distributions (2008) (70)
- Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations (2005) (68)
- Regular variation in the mean and stable limits for Poisson shot noise (2003) (66)
- Extremes of stochastic volatility models (1998) (63)
- Towards estimating extremal serial dependence via the bootstrapped extremogram (2012) (59)
- Ruin probability with claims modeled by a stationary ergodic stable process (2000) (59)
- Measures of serial extremal dependence and their estimation (2013) (58)
- The integrated periodogram for stable processes (1996) (53)
- Spectral estimates and stable processes (1993) (51)
- Some Limit Theory for the Self-normalised Periodogram of Stable Processes (1994) (50)
- Stochastic integral equations without probability (2000) (50)
- Is it really long memory we see in financial returns (2004) (49)
- Delay in claim settlement and ruin probability approximations (1995) (49)
- Applications of distance correlation to time series (2016) (48)
- Whittle estimation in a heavy-tailed GARCH(1,1) model (2002) (47)
- The Maximum of the Periodogram of a Non-Gaussian Sequence (1999) (46)
- Point process convergence of stochastic volatility processes with application to sample autocorrelation (2001) (46)
- Probabilistic Properties of Stochastic Volatility Models (2009) (45)
- Precise large deviations for dependent regularly varying sequences (2012) (44)
- Functional limit theorems for random quadratic forms (1991) (38)
- The integrated periodogram for long-memory processes with finite or infinite variance (1997) (36)
- The extremogram: A correlogram for extreme (2009) (36)
- The cluster index of regularly varying sequences with applications to limit theory for functions of multivariate Markov chains (2013) (35)
- The sample ACF of a simple bilinear process (1999) (32)
- A large deviations approach to limit theory for heavy-tailed time series (2015) (32)
- How to model multivariate extremes if one must? (2005) (31)
- Scaling Limits for Cumulative Input Processes (2007) (30)
- Long range dependence effects and ARCH modelling (2004) (30)
- The periodogram at the Fourier frequencies (2000) (29)
- Inverse problems for regular variation of linear filters, a cancellation property for σ-finite measures and identification of stable laws (2007) (29)
- Prediction of outstanding payments in a Poisson cluster model (2011) (28)
- Periodogram estimates from heavy-tailed data (1998) (27)
- Activity rates with very heavy tails (2006) (26)
- Extreme value analysis for the sample autocovariance matrices of heavy-tailed multivariate time series (2016) (25)
- Sample ACF of Multivariate Stochastic Recurrence Equations With Application to GARCH (1999) (24)
- Stochastic volatility models with possible extremal clustering (2013) (23)
- The limit distribution of the maximum increment of a random walk with regularly varying jump size distribution (2010) (23)
- Uniform convergence of the empirical spectral distribution function (1997) (23)
- Large deviations for solutions to stochastic recurrence equations under Kesten’s condition (2013) (22)
- Aggregation of log-linear risks (2014) (22)
- Eigenvalues and eigenvectors of heavy-tailed sample covariance matrices with general growth rates: the iid case (2016) (22)
- Asymptotic theory for the sample covariance matrix of a heavy-tailed multivariate time series ☆ (2016) (22)
- Strong laws of large numbers for fields of Banach space valued random variables (1987) (20)
- Gaussian limit fields for the integrated periodogram (1996) (20)
- Copulas: Tales and facts—rejoinder (2006) (20)
- A bootstrap procedure for estimating the adjustment coefficient (1991) (20)
- Heavy-tailed modelling in insurance (1997) (19)
- Stock Market Risk-Return Inference. An Unconditional, Non-Parametric Approach. (2003) (19)
- Almost sure convergence of bootstrapped means and U-statistics (1994) (18)
- Almost sure convergence of the largest and smallest eigenvalues of high-dimensional sample correlation matrices (2017) (17)
- Heavy tails of OLS (2013) (17)
- Rates in Approximations to Ruin Probabilities for Heavy-Tailed Distributions (2001) (17)
- Prediction in a Poisson cluster model (2010) (16)
- Stochastic Discounting, Aggregate Claims, and the Bootstrap (1994) (16)
- A Monte Carlo method for estimating the correlation exponent (1995) (16)
- The maximum of the periodogram for a heavy-tailed sequence (2000) (16)
- The sample autocorrections of financial time series models (1999) (15)
- Tail Probabilities of Subadditive Functionals of Lévy Processes (2002) (15)
- The extremogram and the cross-extremogram for a bivariate GARCH(1, 1) process (2015) (15)
- Self-normalized and randomly centered spectral estimates (1996) (14)
- Poisson limits for U-statistics (2002) (14)
- On Optimal Exact Simulation of Max-Stable and Related Random Fields (2016) (14)
- Fractional Moments of Solutions to Stochastic Recurrence Equations (2013) (13)
- A Fourier analysis of extreme events (2014) (13)
- QUASI – MAXIMUM – LIKELIHOOD ESTIMATION IN HETEROSCEDASTIC TIME SERIES : A STOCHASTIC RECURRENCE EQUATIONS APPROACH (12)
- Distance covariance for discretized stochastic processes (2018) (12)
- Some variations on the extremal index (2021) (11)
- Tail Probabilities for Regression Estimators (2006) (10)
- The eigenvalues of the sample covariance matrix of a multivariate heavy-tailed stochastic volatility model (2016) (10)
- The integrated periodogram of a dependent extremal event sequence (2015) (10)
- The eigenstructure of the sample covariance matrices of high-dimensional stochastic volatility models with heavy tails (2019) (10)
- Distance covariance for stochastic processes (2017) (9)
- Estimating Extremal Dependence in Univariate and Multivariate Time Series via the Extremogram (2010) (9)
- A weak invariance principle for weighted U -statistics with varying kernels (1993) (9)
- On logarithmically optimal exact simulation of max-stable and related random fields on a compact set (2019) (8)
- Exact simulation of Brown-Resnick random fields (2014) (8)
- A large deviation principle for Minkowski sums of heavy-tailed random compact convex sets with finite expectation (2011) (8)
- Point process convergence for the off-diagonal entries of sample covariance matrices (2020) (8)
- On Almost Sure Behavior of Sums of Independent Banach Space Valued Random Variables (1986) (7)
- Estimation of the tail index for lattice-valued sequences (2013) (7)
- Infinite variance stable limits for sums of dependent random variables (2009) (6)
- The limit distribution of the maximum increment of a random walk with dependent regularly varying jump sizes (2013) (6)
- Limit theorems for methods of summation of independent random variables. II (1987) (6)
- Tail probabilities of subadditive functionals acting on Lévy processes (2000) (6)
- A Practical Guide to Heavy Tails: Statistical Techniques for Analysing Heavy-Tailed Distributions (1998) (6)
- Precise large deviations for dependent regularly varying sequences (2012) (6)
- Gaussian likelihood-based inference for non-invertible MA(1) processes with S alpha S noise (1998) (5)
- Heavy tails for an alternative stochastic perpetuity model (2017) (5)
- General inverse problems for regular variation (2014) (5)
- Large deviations for Minkowski sums of heavy-tailed generally non-convex random compact sets (2010) (5)
- Fluctuations of Maxima (1997) (4)
- Weak convergence of the function-indexed integrated periodogram for infinite variance processes (2010) (4)
- Almost sure behavior of tail series in functional spaces (1990) (4)
- Homogeneous mappings of regularly varying vectors (2019) (4)
- Large sample autocovariance matrices of linear processes with heavy tails (2020) (4)
- Bounded laws of the iterated logarithm for quadratic forms in Gaussian random variables (1988) (3)
- On strong consistency of estimators for infinite variance time series (1995) (3)
- Parameter estimation for a misspecified arma model with infinite variance innovations (1996) (3)
- Precise large deviations for dependent subexponential variables (2020) (3)
- A strong law of large numbers for ruled sums (1992) (3)
- Weak invariance principles for weightedU-statistics (1994) (3)
- The rate of convergence in the functional central limit theorem for random quadratic forms with some applications to the law of the iterated logarithm (1989) (3)
- Gumbel and Fréchet convergence of the maxima of independent random walks (2019) (2)
- REGULAR VARIATION IN THE MEAN AND STABLE LIMITS FORPOISSON (2)
- NEW FRONTIERS IN APPLIED PROBABILITY (2011) (2)
- Statistical Methods for Extremal Events (1997) (2)
- Scaling Limits for Workload Process (2006) (2)
- Limit theorems for methods of summation of independent random variables. I (1987) (2)
- On the Law of the Iterated Logarithm for Quadratic Forms in Independent Gaussian Variables (1988) (2)
- Weak Convergence of Point Processes (2009) (2)
- Tail behavior of random products and stochastic exponentials (2008) (2)
- TAIL PROBABILITIES OF SUBADDITIVE FUNCTIONALS ACTING ONL EVY (2)
- The Univariate Case (2016) (2)
- Time Series Analysis for Heavy-Tailed Processes (1997) (2)
- On the Convergence of Some Random Series (1987) (1)
- A tribute to Professor Kiyosi Itô (2010) (1)
- DTIC ELECTE 1 PARAMETER ESTIMATION FOR ARMA MODELS (1993) (1)
- CELEBRATING 50 YEARS OF THE APPLIED PROBABILITY TRUST (2014) (1)
- Applications of Stochastic Calculus in Finance (1998) (1)
- AD-A 275 125 0 DTIC ELECTE 1 PARAMETER ESTIMATION FOR ARMA MODELS " JAN 3 11994 f WITH INFINITE VARIANCE INNOVATIONS Cby (1)
- A bootstrap approach to estimating fractal dimensions (1994) (1)
- Gaussian likelihood-based inference for non-invertible MA(1) processes with SαS noise11This research supported in part by NSF DMS Grant No. DMS-9504596. (1998) (1)
- Editorial: The 20th Anniversary of the Extremes Journal (2018) (1)
- The Mathematics and Statistics of Quantitative Risk Management (2008) (1)
- Review of A. J. McNeil, R. Frey, P. Embrechts: Quantitative risk management. Concepts, techniques and tools (2016) (1)
- On a Lower Bound in the Law of the Iterated Logarithm for Gaussian Quadratic Forms (1991) (1)
- Large deviations of lp-blocks of regularly varying time series and applications to cluster inference (2021) (1)
- Fluctuations of Upper Order Statistics (1997) (1)
- Iterated logarithm results for rapidly growing random walk (1988) (1)
- Linear Bayes Estimation (2009) (0)
- The limit distribution of the maximum increment of a random walk with dependent regularly varying jump sizes (2012) (0)
- The Basic Model (2009) (0)
- The Econometrics of Financial Duration Modeling (2022) (0)
- My research : the world of extremes (2018) (0)
- Whittle estimation based on the extremal spectral density of a heavy-tailed random field (2022) (0)
- Tail Probabilities for Registration Estimators (2006) (0)
- Exact simulation of Brown-Resnick random fields at a finite number of locations (2015) (0)
- Editorial: The 20th Anniversary of the Extremes Journal (2018) (0)
- On a problem of Tandori (1988) (0)
- Poisson Random Measures in Collective Risk Theory (2009) (0)
- Fluctuations of Sums (1997) (0)
- The integrated periodogram for stableprocessesBy (1996) (0)
- Convergence of the largest eigenvalues in a sample covariance matrix for multivariate time series (2014) (0)
- Estimation of the tail index for lattice-valued sequences (2013) (0)
- Univariate Limit Theory (2016) (0)
- An Approach to Extremes via Point Processes (1997) (0)
- QMLE IN CONDITIONALLY HETEROSCEDASTIC TIME SERIES (2005) (0)
- Models for the Claim Number Process (2009) (0)
- An Excursion to Lévy Processes (2009) (0)
- 2018 APPLICATIONS OF DISTANCE CORRELATION TO TIME SERIES (0)
- On the Strong Law of Large Numbers for Random Quadratic Forms (1996) (0)
- Extreme value analysis for the sample autocovariance matrices of heavy-tailed multivariate time series (2016) (0)
- Book reviews (1995) (0)
- A large deviations approach to limit theory for heavy-tailed time series (2015) (0)
- A HEAVY-TAILED SEQUENCE' (2016) (0)
- ISSN 1398-2699STOCK MARKET RISK-RETURN INFERENCE. AN UNCONDITIONAL NON-PARAMETRIC APPROACH. (2004) (0)
- International Statistical Institute ( ISI ) and Bernoulli Society for Mathematical Statistics and Probability Stochastic Integral Equations without Probability Author ( s ) : (2017) (0)
- Self-normalized partial sums of heavy-tailed time series (2023) (0)
- Large deviations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e439" altimg="si9.svg"><mml:msup><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>–blocks of regularly varying time series and applications to cluste (2023) (0)
- Stochastic Differential Equations (1998) (0)
- The Total Claim Amount (2009) (0)
- A Bootstrap Procedure for Estimating the Lundberg Coefficient (1992) (0)
- Cluster Point Processes (2009) (0)
- September 21, 2004 ACTIVITY RATES WITH VERY HEAVY TAILS (2004) (0)
- Distance covariance for random fields (2021) (0)
- The Stochastic Integral (1998) (0)
- The General Poisson Process (2009) (0)
- Review of A. J. McNeil, R. Frey, P. Embrechts: Quantitative risk management. Concepts, techniques and tools (2016) (0)
- Submitted to Bernoulli arXiv : arXiv : 1606 . 05481 Applications of Distance Correlation to Time Series (2017) (0)
- The cluster index of regularly varying sequences with applications to limit theory for functions of multivariate Markov chains (2013) (0)
- PR ] 7 S ep 2 00 9 Infinite variance stable limits for sums of dependent random variables (2009) (0)
- Frequency Analysis of Heavy Tail Phenomena (2013) (0)
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