We present an analysis of the number of losses, caused by the buffer overflows, in a finite-buffer queue with batch arrivals and autocorrelated interarrival times. Using the batchMarkovian arrival process, the formulas for the average number of losses in a finite time interval and the stationary loss ratio are shown. In addition, several numerical examples are presented, including illustrations...

A new method for determining the lag order of the autoregressive polynomial in regression models with autocorrelated normal disturbances is proposed. It is based on a sequential testing procedure using conditional saddlepoint approximations and permits the desire for parsimony to be explicitly incorporated, unlike penalty-based model selection methods. Extensive simulation results indicate that...

Abstract Context Spatial capture-recapture (SCR) models are increasingly popular for analyzing wildlife monitoring data. SCR can account spatial heterogeneity in detection that arises from individual space use (detection kernel), variation the sampling process, and distribution of individuals (density). However, unexplained unmodeled detectability may remain due to cryptic factors, both intrins...

Home range analysis is a standard and fundamental concept in ecology used to describe animal space use over their lifetimes. Connecting home sizes with characteristics, location, habitat can be inform conservation decisions. Reptiles are frequently lacking robust estimates of use, particularly reptiles tropical regions. Here we analyse publicly available dataset, collected by the authors this s...