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Backtesting Value-at-Risk: A Generalized Markov Framework. (2015). Pajhede, Thor .
In: Discussion Papers.
RePEc:kud:kuiedp:1518.

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  1. Sizing Strategies for Algorithmic Trading in Volatile Markets: A Study of Backtesting and Risk Mitigation Analysis. (2023). Masrur, S M.
    In: Papers.
    RePEc:arx:papers:2309.09094.

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  2. Optimization of Backtesting Techniques in Automated High Frequency Trading Systems Using the d-Backtest PS Method. (2020). Bizergianidou, V A ; Kyrgos, Th S ; Schinas, C J ; Th, D ; Karkanis, I P.
    In: Computational Economics.
    RePEc:kap:compec:v:56:y:2020:i:4:d:10.1007_s10614-019-09956-1.

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References

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  1. ⊥Σ−1/2 U. C The Monte Carlo Testing Technique Dufour (2006) In this section we outline the Monte Carlo testing technique of Dufour (2006) used in the empirical power simulations of section C. The technique used is given by the following algorithm: I. Generate M i.i.d. hit-sequences of length T, {It} T t=1, under the null of conditional coverage, HCC, by drawing from a Bernoulli sequence, as: It ∼ i.i.d Bernoulli(p), t = 1, ..., T II. Calculate the test statistic, Si, for each of the generated hit-sequence, i = 1, ..., M and denote by S0 the original test value. Throughout this paper we use M = 99, 999. III. Draw Ui for i = 0, ..., M from the uniform U(0, 1) distribution. Calculate the p-values as ˆ pM (S0) = M ˆ GM (S0) + 1 M + 1 where ˆ GM (S0) = 1 − M M X i=1 1 (Si ≤ S0) + M M X i=1 1 (Si = S0) 1 (Ui ≥ U0) .
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  2. Berkowitz, J., P. Christoffersen, and D. Pelletier (2011, December). Evaluating Value-at-Risk Models with Desk-Level Data. Management Science 57(12), 2213–2227.

  3. Billingsley, P. (1962). statistical inference for Markov processes. Chicago Press.
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  4. Brown, B. (1971). Martingale central limit theorems,. The Annals of Mathematical Statistics 42(1), 59–66.
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  9. Dufour, J.-M. (2006). Monte carlo tests with nuisance parameters: A general approach to finite-sample inference and nonstandard asymptotics. Journal of Econometrics 133(2), 443–477.

  10. Haas, M. (2006). Improved duration-based backtesting of value-at-risk. Journal of Risk 8(2), 17–38.
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  11. Jensen, S. r. T. and A. Rahbek (2004, December). Asymptotic Inference For Nonstationary Garch. Econometric Theory 20(06), 1203–1226.

  12. Kupiec, P. H. (1995). Techniques for verifying the accuracy of risk measurement models. Finance and Economics Discussion Series 95-24, Board of Governors of the Federal Reserve System (U.S.). Lehmann, E. (1999). Elements of Large-Sample Theory. Springer.
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  13. McNeil, A. J., R. Frey, and P. Embrechts (2005). Quantitative Risk Management: Concepts, Techniques, and Tools (Princeton Series in Finance). Princeton University Press.
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  14. Perignon, C. and D. R. Smith (2010). The level and quality of value-at-risk disclosure by commercial banks. Journal of Banking & Finance 34(2), 362–377.

  15. Pritsker, M. (2006, February). The hidden dangers of historical simulation. Journal of Banking & Finance 30(2), 561–582.

  16. Wei, W. and D. Pelletier (2014). The geometric-var backtesting method. Workingpaper.
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Cocites

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  2. Forecasting Value-at-Risk under Temporal and Portfolio Aggregation. (2017). van Dijk, Dick ; Kole, Erik ; Opschoor, Anne ; Markwat, Thijs .
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  4. Measuring spot variance spillovers when (co)variances are time-varying - the case of multivariate GARCH models. (2016). Fengler, Matthias ; Herwartz, Helmut.
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  13. Backtesting Value-at-Risk: A Generalized Markov Framework. (2015). Pajhede, Thor .
    In: Discussion Papers.
    RePEc:kud:kuiedp:1518.

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  14. A framework for assessing comprehensive income risk exposure over varying time horizons. (2015). Cataldo, James .
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