Sentence examples for distributed observations from inspiring English sources

A typical assumption that is often not stated explicitly is that the observed data consist of n independent and identically distributed observations from the random variable O with distribution P. In this analysis, we make the assumption that the observed data consist of n = 195 random variables O i that describe each spatial/geographic unit i, i = 1,…, n, each with distribution P i.

Data from this collaboration provide globally distributed observations of spectral aerosol optical thickness, precipitation water, and aerosol volume size distribution (derived from the inversion products) in geographically diverse aerosol regimes.

However, Bartlett's SPRT requires independent and identically distributed observations.

Let be a random sample of independent identically distributed observations.

The Markovian arrival process (MAP) is a stochastic process that allows for modeling dependent and non-exponentially distributed observations.

The network is based on spatially distributed observations (nine different locations in the catchment) of soil water content and rainfall events.

A sufficient condition for unbiasedness of the estimator is that (Rao, 1971; Sjöberg, 1983; Rao and Kleffe, 1988) (17a) where (17b) and, in the case of normally distributed observation errors, the BQUE, and, in the general case, the MInimum Norm Quadratic Unbiased Estimator (MINQUE) of p T σ is provided by and (18a) (18a) (18a).

Bonadonna and Costa (2012) proposed a Weibull method, Tajima et al. (2013) proposed an ellipse-approximated isopach method, and Green et al. (2016) proposed a Bayesian statistical method to estimate tephra volumes from a limited number of sparsely distributed observation points.

For simplicity, we consider in this paper the least-squares error cost criterion, given by (12) This error criterion is a consequence of a maximum likelihood approach to parameter estimation under the assumption of normally distributed observation errors.

Ukiyo-e prints seemed to have been transformed from a celebration of pleasure to a means of widely distributing observations on social and political events.

OLS yields best linear unbiased estimates (BLUE) on the assumption of independent identically distributed (iid) observations with constant mean and variance, if several important assumptions about the way in which the observations are generated are not violated [35].