For the partial sums Sn = Y1 + . . . + Yn of a centered stationary strongly mixing sequence {Yi} with finite second moment, the well-known sufficient conditions for the central limit theorem are that Var(Sn)/n is slowly varying as n → ∞ and the sequence {S2 n/σn} is uniformly integrable (σn = Var(Sn)). The conditions are checkable under various mixing conditions and they lead to the central lim...

In this paper, we study several approximation properties of Szasz-Mirakjan-Durrmeyer operators with shape parameter ??[?1,1]??[?1,1]. Firstly, obtain some preliminaries results such as moments and central moments. Next, estimate the order convergence in terms usual modulus continuity, for functions belong to Lipschitz type class Peetre's K-functional, respectively. Also, prove a Korovkin theore...

BACKGROUND In the absence of stochasticity, allometric growth throughout ontogeny is axiomatically described by the logarithm-transformed power-law model, θt = log(a) b + kφ(t), where θt ≡ θ(t) and φt ≡ φ(t) are the logarithmic sizes of two traits at any given time t. Realistically, however, stochasticity is an inherent property of ontogenetic allometry. Due to the inherent stochasticity in bot...

UNLABELLED During submaximal cycling, the neuromuscular system has the freedom to select different intermuscular coordination strategies. From both a basic science and an applied perspective, it is important to understand how the central nervous system adjusts pedaling mechanics in response to changes in pedaling conditions. PURPOSE To determine the effect of changes in pedal speed (a marker ...

T he method of moments approach to parameter estimation dates back more than 100 years (Stigler, 1986). The notion of a moment is fundamental for describing features of a population. For example, the population mean (or population average), usually denoted m, is the moment that measures central tendency. If y is a random variable describing the population of interest, we also write the populati...

The main purpose of this paper is to introduce some approximation properties a Kantorovich kind q-Bernstein operators related Bézier basis functions with shape parameter . Firstly, we compute basic results such as moments and central moments, derive the Korovkin type theorem for these operators. Next, estimate order convergence in terms usual modulus continuity, belong Lipschitz-type class Peet...

We prove a central limit theorem for an additive functional of the d-dimensional fractional Brownian motion with Hurst index H ∈ ( 1 d+2 , 1 d ), using the method of moments, extending the result by Papanicolaou, Stroock and Varadhan in the case of the standard Brownian motion.