Tail aligned composite quantile estimator for bootstrapping of high quantiles

Author(s):  
R. S. Jagtap ◽  
Mohan M. Kale ◽  
V. K. Gedam
Keyword(s):  
Entropy ◽  
2021 ◽  
Vol 23 (1) ◽  
pp. 70
Author(s):  
Mei Ling Huang ◽  
Xiang Raney-Yan

The high quantile estimation of heavy tailed distributions has many important applications. There are theoretical difficulties in studying heavy tailed distributions since they often have infinite moments. There are also bias issues with the existing methods of confidence intervals (CIs) of high quantiles. This paper proposes a new estimator for high quantiles based on the geometric mean. The new estimator has good asymptotic properties as well as it provides a computational algorithm for estimating confidence intervals of high quantiles. The new estimator avoids difficulties, improves efficiency and reduces bias. Comparisons of efficiencies and biases of the new estimator relative to existing estimators are studied. The theoretical are confirmed through Monte Carlo simulations. Finally, the applications on two real-world examples are provided.


Author(s):  
Lihua Li ◽  
Liangyuan Hu ◽  
Jiayi Ji ◽  
Karen Mckendrick ◽  
Jaison Moreno ◽  
...  

Abstract Background To identify and rank the importance of key determinants of end-of-life (EOL) healthcare costs, and to understand how the key factors impact different percentiles of the distribution of healthcare costs. Methods We applied a principled, machine learning based variable selection algorithm, using Quantile Regression Forests, to identify key determinants for predicting the 10 th (low), 50 th (median) and 90 th (high) quantiles of EOL healthcare costs, including costs paid for by Medicare, Medicaid, Medicare Health Maintenance Organizations (HMO), private HMO, and patient’s out-of-pocket expenditures. Results Our sample included 7,539 Medicare beneficiaries who died between 2002 and 2017. The 10 th, 50 th and 90 th quantiles of EOL healthcare cost are $5,244, $35,466 and $87,241 respectively. Regional characteristics, specifically, the EOL-expenditure index, a measure for regional variation in Medicare spending driven by physician practice, and the number of total specialists in the hospital referral region, were the top two influential determinants for predicting the 50 th and 90 th quantiles of EOL costs, but were not determinants of the 10 th quantile. Black race and Hispanic ethnicity were associated with lower EOL healthcare costs among decedents with lower total EOL healthcare costs but were associated with higher costs among decedents with the highest total EOL healthcare costs. Conclusions Factors associated with EOL healthcare costs varied across different percentiles of the cost distribution. Regional characteristics and decedent race/ethnicity exemplified factors that did not impact EOL costs uniformly across its distribution, suggesting the need to use a “higher-resolution” analysis for examining the association between risk factors and healthcare costs.


2015 ◽  
Vol 15 (10) ◽  
pp. 2347-2358 ◽  
Author(s):  
M. Maugeri ◽  
M. Brunetti ◽  
M. Garzoglio ◽  
C. Simolo

Abstract. Sicily, a major Mediterranean island, has experienced several exceptional precipitation episodes and floods during the last century, with serious damage to human life and the environment. Long-term, rational planning of urban development is indispensable to protect the population and to avoid huge economic losses in the future. This requires a thorough knowledge of the distributional features of extreme precipitation over the complex territory of Sicily. In this study, we perform a detailed investigation of observed 1 day precipitation extremes and their frequency distribution, based on a dense data set of high-quality, homogenized station records in 1921–2005. We estimate very high quantiles (return levels) corresponding to 10-, 50- and 100-year return periods, as predicted by a generalized extreme value distribution. Return level estimates are produced on a regular high-resolution grid (30 arcsec) using a variant of regional frequency analysis combined with regression techniques. Results clearly reflect the complexity of this region, and show the high vulnerability of its eastern and northeastern parts as those prone to the most intense and potentially damaging events.


Economies ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 18
Author(s):  
Riza Demirer ◽  
Rangan Gupta ◽  
Hossein Hassani ◽  
Xu Huang

This paper examines the predictive power of time-varying risk aversion over payoffs to the carry trade strategy via the cross-quantilogram methodology. Our analysis yields significant evidence of directional predictability from risk aversion to daily carry trade returns tracked by the Deutsche Bank G10 Currency Future Harvest Total Return Index. The predictive power of risk aversion is found to be stronger during periods of moderate to high risk aversion and largely concentrated on extreme fluctuations in carry trade returns. While large crashes in carry trade returns are associated with significant rises in investors’ risk aversion, we also found that booms in carry trade returns can be predicted at high quantiles of risk aversion. The results highlight the predictive role of extreme investor sentiment in currency markets and regime specific patterns in carry trade returns that can be captured via quantile-based predictive models.


2017 ◽  
Vol 17 (9) ◽  
pp. 1623-1629 ◽  
Author(s):  
Berry Boessenkool ◽  
Gerd Bürger ◽  
Maik Heistermann

Abstract. High precipitation quantiles tend to rise with temperature, following the so-called Clausius–Clapeyron (CC) scaling. It is often reported that the CC-scaling relation breaks down and even reverts for very high temperatures. In our study, we investigate this reversal using observational climate data from 142 stations across Germany. One of the suggested meteorological explanations for the breakdown is limited moisture supply. Here we argue that, instead, it could simply originate from undersampling. As rainfall frequency generally decreases with higher temperatures, rainfall intensities as dictated by CC scaling are less likely to be recorded than for moderate temperatures. Empirical quantiles are conventionally estimated from order statistics via various forms of plotting position formulas. They have in common that their largest representable return period is given by the sample size. In small samples, high quantiles are underestimated accordingly. The small-sample effect is weaker, or disappears completely, when using parametric quantile estimates from a generalized Pareto distribution (GPD) fitted with L moments. For those, we obtain quantiles of rainfall intensities that continue to rise with temperature.


2020 ◽  
Vol 12 (8) ◽  
pp. 3243
Author(s):  
Giovanni De Luca ◽  
Monica Rosciano

Travel and tourism is an important economic activity in most countries around the world. In 2018, international tourist arrivals grew 5% to reach the 1.4 billion mark and at the same time export earnings generated by tourism have grown to USD 1.7 trillion. The rapid growth of the tourism industry has globally attracted the interest of researchers for a long time. The literature has tried to model tourism demand to analyze the effects of different factors and predict the future behavior of the demand. Forecasting of tourism demand is crucial not only for academia but for tourism industries too, especially in line with the principles of sustainable tourism. The hospitality branch is an important part of the tourism industry and accurate passenger flow forecasting is a key link in the governance of the resources of a destination or in revenue management systems. In this context, the paper studies the interdependence of tourism demand in one of the main Italian tourist destinations, the Campania region, using a quantile-on-quantile approach between overall and specific tourism demand. Data are represented by monthly arrivals and nights spent by residents and non-residents in hotels and complementary accommodations from January 2008 to December 2018. The results of the analysis show that the hotel-accommodation component of the tourism demand appears to be more vulnerable than extra-hotel accommodation component to the fluctuations of the overall tourism demand and this feature is more evident for the arrivals than for nights spent. Moreover, the dependence on high quantiles suggests strategy of diversification or market segmentation to avoid overtourism phenomena and/or carrying capacity problems. Conversely, dependence on low quantiles suggests the use of push strategies to stimulate tourism demand. Finally, the results suggest that it could be very useful if the stakeholders of the tourism sector in Campania focused their attention on the collaboration theory.


Water ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1662 ◽  
Author(s):  
Na Gao ◽  
Yi Ma ◽  
Mingli Zhao ◽  
Li Zhang ◽  
Haigang Zhan ◽  
...  

The concentration of chlorophyll-a (CHL) is an important proxy for the amount of phytoplankton biomass in the ocean. Characterizing the variability of CHL in the Pearl River Plume (PRP) is therefore of great importance for the understanding of the changes in oceanic productivity in the coastal region. By applying quantile regression analysis on 21-year (1998–2018) near-surface CHL data from satellite observations, this study investigated the long-term trend of CHL in the PRP. The results show decreasing trends (at an order of 10−2 mg m−3 year−1) for all percentiles of the CHL in the PRP, suggesting a decrease in productivity in the past two decades. The trends differ fundamentally from those in the open regions of the northern South China Sea with mixed signs and small magnitudes (10−4 mg m−3 year−1). The magnitudes of the trends in high quantiles (>80th) are larger than those in low quantiles (<50th) in the PRP, indicative of a decrease in the variance of the CHL. The area with apparent decreasing trends is restricted to the PRP in summer and extends to the entire coastal region in winter. This decrease in CHL is possibly attributed to the decrease in nutrient input from the river runoff and the weakening of wind-forced mixing rather than the changes in sea surface temperature. This study extends our knowledge on the variability of CHL in the PRP and provides references to the investigation of the changes of the coastal ecological environment.


2020 ◽  
Vol 12 (3) ◽  
pp. 1221
Author(s):  
Wanshan Wu ◽  
Qingyi Su ◽  
Chunding Li ◽  
Cheng Yan ◽  
Giray Gozgor

This study analyzes urbanization, disasters, and their impact on tourism development for RCEP (Regional Comprehensive Economic Partnership) countries. We use ADF (Augmented Dickey-Fuller) and PP (Phillips-Perron) tests, causality tests, quantile regression, and fixed-effect panel models on data from 1995-2018. Empirical results show that urbanization does not help tourism development in the low quantiles but does help in the high quantiles. Disaster-preventive measures and post-disaster reconstruction help the development of tourism. However, in developed countries, disasters are not conducive to the development of tourism. Urbanization is the Granger cause of tourism and carbon emissions. The increase in temperature, rainfall, and carbon emissions caused by urbanization do not contribute to the development of tourism. Based on this, we have proposed a series of urbanization development and disaster defense measures to promote the sustainable development of tourism in RCEP countries.


Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 2020
Author(s):  
Catalina Bolancé ◽  
Montserrat Guillen ◽  
Albert Pitarque

Background: The Beta distribution is useful for fitting variables that measure a probability or a relative frequency. Methods: We propose a Sarmanov distribution with Beta marginals specified as generalised linear models. We analyse its theoretical properties and its dependence limits. Results: We use a real motor insurance sample of drivers and analyse the percentage of kilometres driven above the posted speed limit and the percentage of kilometres driven at night, together with some additional covariates. We fit a Beta model for the marginals of the bivariate Sarmanov distribution. Conclusions: We find negative dependence in the high quantiles indicating that excess speed and night-time driving are not uniformly correlated.


2011 ◽  
Vol 65 (Suppl 1) ◽  
pp. A176-A176
Author(s):  
A. Beiranvand ◽  
S. Salarilak ◽  
J. Nouroozzadeh ◽  
H. Khalkhali ◽  
M. Aghasi ◽  
...  

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