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The sole purpose of this paper is to establish asymptotic normality of the usual kernel estimate of the marginal probability density function of a strictly stationary sequence of associated random variables. In much of the discussions and derivations, the term association is used to include both...
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Consider a long term study, where a series of possibly censored failure times is observed. Suppose the failure times have a common marginal distribution functionF, but they exhibit a mode of dependence characterized by positive or negative association. Under suitable regularity conditions, it is...
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Let Zd be the lattice of points in d with integer coordinates, and let {Xn}, n [epsilon] Zd, be a random field of real-valued translation invariant random variables with unknown distribution function F. For u and v in Zd with u < v let, Buv be the box in Zd defined by Buv = {n [epsilon] Zd; u < n [less-than-or-equals, slant] v}, and for N = 1, 2, ..., let k(N) = (k1 (N), ..., kd (N)) with ki(N) --> [infinity] as N -- [infinity], I = 1, ..., d. On the basis of the...</v>
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