A quantile estimation for massive data with generalized Pareto distribution
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Summary
The parameter estimation method has a smaller Mean square error (MSE) than other common methods when the shape parameter of GPD is at least 0.5 and shows the best performance in terms of root MSE (RMSE) and absolute relative bias (ARB) for heavy-tailed distributions.
- Type
- article
- Published
- 2012-01-01
- Cited by
- 38
- References
- 23
- OpenAlex
- https://openalex.org/W1968789009
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:39361410
Keywords
Quantile, Generalized Pareto distribution, Mathematics, Statistics, Mean squared error
References
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- Modelling of extremal events in insurance and finance
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- Single-pass low-storage arbitrary quantile estimation for massive datasets
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- The Remedian: A Robust Averaging Method for Large Data Sets
- Robust and Efficient Estimation for the Generalized Pareto Distribution
- Time Bounds for Selection
- Residual Life Time at Great Age
- Approximate medians and other quantiles in one pass and with limited memory
- LIKELIHOOD MOMENT ESTIMATION FOR THE GENERALIZED PARETO DISTRIBUTION
- Statistical Inference Using Extreme Order Statistics
- A Simple General Approach to Inference About the Tail of a Distribution
- A hybrid estimator for generalized pareto and extreme-value distributions
- Maximum likelihood estimation in a class of nonregular cases
- Parameter and quantile estimation for the generalized pareto distribution
- Method of medians for lifetime data with Weibull models.
- Incremental quantile estimation for massive tracking
- Improving on Estimation for the Generalized Pareto Distribution
- A Simplex Method for Function Minimization
Cited by
- Estimation of Car Insurance Loss Ratio Using the Peaks over Threshold Method
- A Parameter Estimation Method using Nonlinear Least Squares
- Likelihood inference for generalized Pareto distribution
- Efficient Estimation of the PDF and the CDF of the Exponentiated Gumbel Distribution
- Value at Risk with Peaks over Threshold: Comparison Study of Parameter Estimation
- Modelling volatility and financial market risks of shares on the Johannesburg Stock Exchange
- Modelling conditional heteroskedasticity in JSE stock returns using the Generalised Pareto Distribution
- On the Estimation for the Weibull Distribution
- Estimating extreme tail risk measures with generalized Pareto distribution
- The Mean/Max Statistic in Extreme Value Analysis
- Parameter estimation for generalized Pareto distribution by generalized probability weighted moment-equations
- Minimum Distance Estimation for the Generalized Pareto Distribution
- Parameter and quantile estimation for the generalized Pareto distribution in peaks over threshold framework
- The Gamma Generalized Pareto Distribution with Applications in Survival Analysis
- Assessment of the Combined Effects of Threshold Selection and Parameter Estimation of Generalized Pareto Distribution with Applications to Flood Frequency Analysis
- Fitting the generalized Pareto distribution to data based on transformations of order statistics
- Extreme tail risk estimation with the generalized Pareto distribution under the peaks-over-threshold framework
- A New Parameter Estimator for the Generalized Pareto Distribution under the Peaks over Threshold Framework
- Exponentiated generalized Pareto distribution: Properties and applications towards extreme value theory
- The tolerable waiting time: A generalized Pareto distribution model with empirical investigation
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