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1.
Characterization and statistical test using truncated expectations for a class of skew distributions
The expectation of left truncated Waring and Pareto distributions is a linear function of the point of truncation. Based on this property, a characterization theorem and statistical tests can be constructed. 相似文献
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A. L. Pavlov 《Mathematische Nachrichten》2015,288(17-18):2093-2108
We construct a regularization of a distribution of the form , where f is a tempered distribution and a function is infinitely differentiable outside a semialgebraic set N and has power singularities together with any its derivative. 相似文献
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D. Mejzler 《Israel Journal of Mathematics》1973,16(1):1-19
We characterize the class of distribution functions Φ(x), which are limits in the following sense: there exist a sequence of independent and equally distributed random variables {ξ n }, numerical sequences {a k }, {b k } and natural numbers {n k } such that $$\mathop {lim}\limits_{k \to \infty } Prob\left\{ {\frac{1}{{a_k }}\mathop {\Sigma }\limits_{k = 1}^{n_k } \xi _k - b_k< x} \right\} = \Phi (x)$$ and $$\mathop {\lim \inf }\limits_{k \to \infty } (n_k /n_{k + 1} ) > 0$$ . 相似文献
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《Stochastic Processes and their Applications》2020,130(10):5888-5939
The problem of integrated volatility estimation for an Ito semimartingale is considered under discrete high-frequency observations in short time horizon. We provide an asymptotic expansion for the integrated volatility that gives us, in detail, the contribution deriving from the jump part. The knowledge of such a contribution allows us to build an unbiased version of the truncated quadratic variation, in which the bias is visibly reduced. In earlier results to have the original truncated realized volatility well-performed the condition on (that is such that is the threshold of the truncated quadratic variation) and on the degree of jump activity was needed (see Mancini, 2011; Jacod, 2008). In this paper we theoretically relax this condition and we show that our unbiased estimator achieves excellent numerical results for any couple (, ). 相似文献
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Dorothy A. Anderson 《Journal of multivariate analysis》1977,7(4):560-571
The paper deals with statistical inference for a certain class of bivariate distributions. The class of marginal distributions is given and is shown to include distributions with only location and scale parameters. A normalizing transformation is applied to the marginal distributions and the parameters are estimated by maximum likelihood. For this class there is a great deal of simplification in the calculations for the asymptotic covariance matrix of the vector of parameter estimators. Statistics for tests of zero correlation are discussed. Also, the analysis is carried out for exponential marginal distributions. 相似文献
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Recently (see De Vylder & Goovaerts (1984), this issue) so called credibility matrices have been introduced and studied in the framework of general properties of matrices, such as non-negativity, total positivity etc. In the present note we characterize a class of credibility matrices generated by the normed sequence of functions (pl, pl,…, pn) on K = [0, b] where , i=0, …, n, θ ? K, and where ?, g, h are nonnegative (eventually depending on n, n may be finite or infinite). For simplicity we suppose h to be monotonic and continuous. 相似文献
10.
Hisao Nagao 《Journal of multivariate analysis》1974,4(4):409-418
Asymptotic expansions of the distributions of two test criteria concerning a covariance matrix are derived under local alternatives in terms of noncentral χ2 variates, and under the fixed alternative in terms of standard normal distribution function and its derivatives, respectively. Some numerical comparisons with the likelihood ratio criteria are made with these test criteria. 相似文献
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A lower (upper) bound is given for the distribution of each dj, j = k + 1, …, p (j = 1, …, s), the jth latent root of AB?1, where A and B are independent noncentral and central Wishart matrices having with rank and Wp(n, Σ), respectively. Similar bound are also given for the distributions of noncentral means and canonical correlations. The results are applied to obtain lower bounds for the null distributions of some multivariate test statistics in Tintner's model, MANOVA and canonical analysis. 相似文献
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William E Strawderman 《Journal of multivariate analysis》1974,4(3):255-264
Families of minimax estimators are found for the location parameters of a p-variate distribution of the form , where G(·) is a known c.d.f. on (0, ∞), p ≥ 3 and the loss is sum of squared errors. The estimators are of the form where 0 ≤ a ≤ 2, r(X′X) is nondecreasing, and is nonincreasing. Generalized Bayes minimax estimators are found for certain G(·)'s. 相似文献
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It is known that some optimality criteria of experimental designs are functionals of the eigenvalues of their information matrices. In this context we study the problem of maximizing the determinant of , , over the class of t-by-t permutation matrices, and the determinant of , , over the class of t-by-t permutation matrices with zero diagonal (derangement matrices). The results are used to characterize D-optimal complete block designs under an interference model. 相似文献
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A. Kyriakoussis 《Annals of the Institute of Statistical Mathematics》1985,37(1):241-250
Summary The problem of finding an asymptotically minimum variance unbiased estimator (A.M.V.U.E.) for the parameter of certain truncated
power series distributions, is discussed, when the generating function of their coefficients are i) polynomials of binomial
type ii) generalized ascending factorials iii) polynomials with coefficients the well known Eulerian numbers. 相似文献
16.
A rate of convergence for the set compound estimation in a family of certain retracted distributions
Yoshiko Nogami 《Annals of the Institute of Statistical Mathematics》1982,34(1):241-257
Summary This paper is concerned with the set compound squared-error loss estimation problem. Here, the author obtains Lévy consistent
estimate
of the empiric distributionG
n of the parameters θ1,...,θn for a more general family of retracted distributions on the interval [θ, θ+1) than the uniform on [θ, θ+1) as in R. Fox (1970,Ann. Math. Statist.,41, 1845–1852; 1978,Ann. Statist.,6, 846–853) and exhibits a decision procedure based on
with a convergence rateO((n
−1 logn)1/4) for the mofified regret uniformly in (θ1, θ2, ..., θn ∈ Ωn with bounded Ω. The author also gives a counterexample to the convergence of the modified regret for Ω=(−∞, ∞).
This is part of the author's Ph. D. Thesis at Michigan State University. 相似文献
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W. G. Bridges 《Israel Journal of Mathematics》1972,12(4):369-372
Bounds on the number of row sums in ann×n, non-singular (0,1)-matrixA sarisfyingA
tA=diag (k
1-λ1,…,k
n-λn),k
j>λj>0,λ1=…=λe,λe+1=…=λn are obtained which extend previous results for such matrices. 相似文献