… Therefore by providing useful information about the locations of the critical points of a
stationary random field, our results can be helpful in determining the topological structure of the …

… function are no longer translational invariant; they depend on the location. A … The
majority of second-order nonstationary random function models include some stationary …

… We derive the stationary distributions for location, speed, and pause time for the random …
In this paper, we derive the stationary distributions for speed, location, and pause time for a …

… reasoned judgements about the location dependence of statistical parameters. A stationary
process is one where … A stationary random function (SRF) commonly refers to second‐order …

… This must be understood to say something about both how well the covariates describe the
data at different locations and the underlying non-stationarity in the covariance structure of …

… When the stationarity is assumed, it is clear that the location of the interval I will not affect
the distribution of L ( X , I ) − a , as long as the length of the interval, | I | = b − a , remains …

… The principal results of this Chapter show that weak stationarity of a random process implies
that both the covariance function and the process itself have representations as continuous …

… stationary stochastic process. 2 The latter is not a serious defect if one is willing to insert
interval stationarity … a direct description of the statistics of sample locations relative to arbitrary t, …

… different locations. We set 20 arrays to take record of seismic … effects of the stationary and
non-stationary random noise in … to non-stationary random noise and stationary random noise …

… location functionals of periodic stationary processes, and characterize all the possible
distributions of these random locations. … study of continuous-time stationary processes requires a …