On the local times of stationary processes with conditional local limit theorems
Sign Up to like & getrecommendations! Published in 2017 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2017.09.012
Abstract: We investigate the connection between conditional local limit theorems and the local time of integer-valued stationary processes. We show that a conditional local limit theorem (at 0) implies the convergence of local times to Mittag-Leffler… read more here.
Keywords: local limit; limit theorems; conditional local; stationary processes ... See more keywords
On uniform closeness of local times of Markov chains and i.i.d. sequences
Sign Up to like & getrecommendations! Published in 2018 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2017.10.015
Abstract: Abstract In this paper we consider the field of local times of a discrete-time Markov chain on a general state space, and obtain uniform (in time) upper bounds on the total variation distance between this… read more here.
Keywords: chains sequences; closeness local; uniform closeness; markov chains ... See more keywords
Joint distribution of multiple boundary local times and related first-passage time problems with multiple targets
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/abb6e4
Abstract: We investigate the statistics of encounters of a diffusing particle with different subsets of the boundary of a confining domain. The encounters with each subset are characterized by the boundary local time on that subset.… read more here.
Keywords: multiple boundary; boundary local; time; first passage ... See more keywords
Temperature decadal trends, and their relation to diurnal variations in the lower thermosphere, stratosphere, and mesosphere, based on measurements from SABER on TIMED
Sign Up to like & getrecommendations! Published in 2021 at "Annales Geophysicae"
DOI: 10.5194/angeo-39-327-2021
Abstract: Abstract. We have derived the behavior of decadal temperature trends over the 24 h of local time, based on zonal averages of SABER data, for the years 2012 to 2014, from 20 to 100 km ,… read more here.
Keywords: local time; time; based measurements; temperature ... See more keywords