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We study how to sample paths of a random walk up to the first time it crosses a fixed barrier, in the setting where the step sizes are iid with negative mean and have a regularly varying right tail. We introduce a desirable property for a…

概率论 · 数学 2018-11-16 Ton Dieker , Guido Lagos

The 10-minute average wind speed series recorded at 132 stations distributed rather homogeneously in the territory of Switzerland are investigated. Wind extremes are defined on the base of run theory: fixing a percentile-based threshold of…

应用统计 · 统计学 2019-09-30 Luciano Telesca , Fabian Guignard , Mohamed Laib , Mikhail Kanevski

Wind energy resource quantification, air pollution monitoring, and weather forecasting all rely on rapid, accurate measurement of local wind conditions. Visual observations of the effects of wind---the swaying of trees and flapping of…

机器学习 · 统计学 2021-04-27 Jennifer L Cardona , Michael F Howland , John O Dabiri

This paper reports on the decay in shuttlecock velocity after smash and slice shots performed by elite and international players, based on the analysis of videos captured on a badminton court with high-speed cameras. The trajectories of…

流体动力学 · 物理学 2026-01-06 Eric Collet

In 2008 a group of NASA scientists reported an anomalous change in the speed of six spacecraft flybys of the Earth. The reported speed change for the NEAR spacecraft flyby is 13.46+-0.01 mm/s. It is known that general relativity theory…

综合物理 · 物理学 2011-03-01 J. C. Hafele

We consider a one dimensional random walk in random environment that is uniformly biased to one direction. In addition to the transition probability, the jump rate of the random walk is assumed to be spatially inhomogeneous and random. We…

概率论 · 数学 2018-11-27 Amir Dembo , Ryoki Fukushima , Naoki Kubota

We present a simple, pedagogical introduction to the statistics of extreme values. Motivated by a string of record high temperatures in December 1998, we consider the distribution, averages and lifetimes for a simplified model of such…

统计力学 · 物理学 2009-10-31 B. Schmittmann , R. K. P. Zia

Analysis of the radio-metric tracking data from the Pioneer 10/11 spacecraft at distances between 20--70 astronomical units (AU) from the Sun has consistently indicated the presence of an anomalous, small, constant Doppler frequency drift.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Slava G. Turyshev , Michael Martin Nieto , John D. Anderson

Wind speed distribution has many applications, such as the assessment of wind energy and building design. Applying an appropriate statistical distribution to fit the wind speed data, especially on its heavy right tail, is of great interest.…

应用统计 · 统计学 2026-02-17 Tiantian Yang , Dongwei Chen

Small, low-speed fixed-wing Unmanned Aerial Vehicles (UAVs) operating autonomously, beyond-visual-line-of-sight (BVLOS) will inevitably encounter winds rising to levels near or exceeding the vehicles' nominal airspeed. In this paper, we…

机器人学 · 计算机科学 2019-08-06 Thomas Stastny , Roland Siegwart

Climate models are biased with respect to real-world observations. They usually need to be adjusted before being used in impact studies. The suite of statistical methods that enable such adjustments is called bias correction (BC). However,…

机器学习 · 计算机科学 2025-01-08 Omer Nivron , Damon J. Wischik , Mathieu Vrac , Emily Shuckburgh , Alex T. Archibald

Purpose: To study the relationship between soccer heading and the risk of mild traumatic brain injury (mTBI), we previously developed an instrumented headband and data processing scheme to measure the angular head kinematics of soccer…

The velocity of the Sun with respect to the cosmic microwave background (CMB) can be extracted from the CMB dipole, provided its intrinsic dipole is assumed to be small in comparison. This interpretation is consistent, within fairly large…

宇宙学与河外天体物理 · 物理学 2023-05-24 Charles Dalang , Ruth Durrer , Fabien Lacasa

We consider the occurrence of record-breaking events in random walks with asymmetric jump distributions. The statistics of records in symmetric random walks was previously analyzed by Majumdar and Ziff and is well understood. Unlike the…

统计金融 · 定量金融 2011-05-16 Gregor Wergen , Miro Bogner , Joachim Krug

Arrhythmia is an abnormality of the heart's rhythm, caused by problems in the conductive system and resulting in irregular heartbeats. There is increasing evidence that undertaking frequent endurance sports training elevates one's risk of…

应用统计 · 统计学 2026-01-06 Andrew Nugent , Yi Ting Loo , Jack Buckingham

Very recent measurements of stellar winds are used to update relations between winds and coronal activity. New wind constraints include an upper limit of Mdot<0.1 Mdot_sun for Tau Ceti (G8 V), derived from a nondetection of astrospheric H I…

太阳与恒星天体物理 · 物理学 2018-11-14 Brian E. Wood

We consider random walks with finite second moment which drifts to $-\infty$ and have heavy tail. We focus on the events when the minimum and the final value of this walk belong to some compact set. We first specify the associated…

概率论 · 数学 2013-12-12 Vincent Bansaye , Vladimir Vatutin

The International Swimming Federation (FINA) uses a very simple points system with the aim to rank swimmers across all Olympic events. The points acquired is a function of the ratio of the recorded time and the current world record for that…

应用统计 · 统计学 2025-04-10 Jess Spearing , Jonathan Tawn , David Irons , Tim Paulden , Grace Bennett

In astronomical observations, the estimation of distances from parallaxes is a challenging task due to the inherent measurement errors and the non-linear relationship between the parallax and the distance. This study leverages ideas from…

统计方法学 · 统计学 2025-11-05 Soham Ghosh , Uttaran Chatterjee , Jyotishka Datta

Recently, it has been suggested in the literature that the difference between universal and coordinated time UT1-UTC could reach a large positive value in the coming years (Agnew 2024). This would make it necessary to introduce a negative…

地球与行星天体物理 · 物理学 2025-06-03 Zinovy Malkin