The statistical analysis of spatial data is usually done under Gaussian assumption for the underlying random field model. When this assumption is not satisfied, block bootstrap methods can be used to analyze spatial data. One of the crucial problems in this setting is specifying the block sizes. In this paper, we present asymptotic optimal block size for separate block bootstrap to estimate the...

spatial pattern of trees is an important characteristic of plant communities. generating hypotheses relating to the structure of ecological communities is the aim of spatial pattern recognition. stands spatial patterns are measured and mapped by measuring tree locations in the stand and entering each coordinates into analytical frameworks. the spatial pattern of plant populations observed at an...

regional agreements can facilitate the integration of world economies by opening the borders to the trade development while accelerating technological changes and maintaining the economic growth. trade potential is defined as the trade that could be achieved at an optimum trade frontier with the open and frictionless trade possible through regional agreements based on the current level of trade...

We derive generalized estimators for a number of spatial statistics that have been used in the analysis of spatially resolved omics data, such as Ripleys K, H and L functions, clustering index, and degree of clustering, which allow these statistics to be calculated on data modelled by arbitrary random measures. Our estimators generalize those typically used to calculate these statistics on poin...

Myxamoebae of the morphogenetic cellular slime mold Dictyostelium discoideum are thought to be able to accurately read and respond to directional information in spatial gradients of cyclic AMP. We examined the spatial and temporal mechanisms proposed for chemotaxis by comparing the behavior of spreading or evenly distributed cell populations after exposure to well-defined spatial gradients. The...

The homogeneous poisson point process (PPP) is widely used to model temporal, spatial or both topologies of base stations (BSs) and mobile terminals (MTs). However, negative spatial correlation in BSs, due to strategical deployments, and positive spatial correlations in MTs, due to homophilic relations, cannot be captured by homogeneous spatial PPP (SPPP). In this paper, we assume doubly stocha...

quantifying spatial structure is one of the most important components, describing natural ecosystems and their biodiversity. in this study, a set of indices and functions related to spatial structure using 102 established plots with an area of 1000 m2 were presented. to achieve spatial structure of carpinus-fagus type, a set of indices (clark & evans, uniform angle, shannon-wiener, mingling and...

The article focuses on mortality models with a random effect applied in order to evaluate human more precisely. Such are called frailty or Cox models. main assertion of the paper shows that each positive transforms initial hazard rate (or density function) new absolutely continuous survival function. In particular, well-known Weibull and Gompertz rates corresponding functions analyzed different...