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101.
Abstract. We study the autocorrelation structure of aggregates from a continuous-time process. The underlying continuous-time process or some of its higher derivative is assumed to be a stationary continuous-time auto-regressive fractionally integrated moving-average (CARFIMA) process with Hurst parameter H . We derive closed-form expressions for the limiting autocorrelation function and the normalized spectral density of the aggregates, as the extent of aggregation increases to infinity. The limiting model of the aggregates, after appropriate number of differencing, is shown to be some functional of the standard fractional Brownian motion with the same Hurst parameter of the continuous-time process from which the aggregates are measured. These results are then used to assess the loss of forecasting efficiency due to aggregation. 相似文献
102.
Using relatively recent results from multivariate distribution theory, a direct approach to evaluating the inverse moments of a quadratic form in normal variables is proposed. Convergent infinite series expressions involving the invariant polynomials of matrix argument are obtained. The solution also depends upon a positive scalar which is arbitrarily chosen. For the solution to converge an upper bound upon this scalar is derived. 相似文献
103.
This paper summarizes the literature on estimation and testing of present value relations. Twenty-four test statistics are illustrated and compared in a simulation experiment utilizing six different data generation models. The test statistics are calculated for actual Standard and Poor's 500 annual stock price and dividend data, and the results are interpreted in light of the Monte Carlo experiments. 相似文献
104.
The concepts of defining contrast (DC), generalized defining relationship (GDR) and aliasing structure (AS) are now well established in the terminology of regression analysis and factorial design theory. There is no complete agreement in the literature about the meaning of regular and irregular fractional factorial designs. This paper provides a workable definition of a regular fraction from a symmetrial prime-powered factorial. It characterizes the uniqueness of the GDR for fractions from the most general factorial. Results are also présentés on the uniqueness of the GDR for regular designs, on orthogonality aspects of regular and irregular designs, and on group-theoretic generation of the complete aliasing structure. Examples are provided to illustrate the developments. 相似文献
105.
N. Balakrishnan 《统计学通讯:理论与方法》2013,42(5):880-906
In this article, we establish several recurrence relations for the single and product moments of progressively Type-II right censored order statistics from a log-logistic distribution. The use of these relations in a systematic recursive manner would enable the computation of all the means, variances and covariances of progressively Type-II right censored order statistics from the log-logistic distribution for all sample sizes n, effective sample sizes m, and all progressive censoring schemes (R 1,…, R m ). The results established here generalize the corresponding results for the usual order statistics due to Balakrishnan and Malik (1987) and Balakrishnan et al. (1987). The moments so determined are then utilized to derive best linear unbiased estimators for the scale- and location-scale log-logistic distributions. A comparison of these estimates with the maximum likelihood estimates is made through Monte Carlo simulation. The best linear unbiased predictors of progressively censored failure times is then discussed briefly. Finally, a numerical example is presented to illustrate all the methods of inference developed here. 相似文献
106.
107.
M.A. Hidiroglou 《统计学通讯:理论与方法》2013,42(15):1475-1487
The negative moments of the positive hyper geometric distribution are often approximated by the inverse of the positive moments of this distribution. In this paper, a suitable approximation to the positive hypergeometric distribution is used to obtain the negative moments. 相似文献
108.
Leo A. Aroian 《统计学通讯:理论与方法》2013,42(11):1041-1045
The moments of the decisive sample number and of the average time to termination of sequential tests are derived. All moments depend only on the probability of continuation of the sequential test at each step, or at each instant of time for time processes. Two theorems are proved. Although the second theorem may be proved by quoting a result used in Barlow and Proschan (1965), p. 33, or both theorems from a lemma in Govindarajulu (1975), pp. 518-519, the author’s direct proofs illuminate the results. 相似文献
109.
S. K. Upadhyay Ashutosh Gupta Bhaswati Mukherjee 《Journal of Statistical Computation and Simulation》2013,83(1):68-81
A number of models have been proposed in the literature to model data reflecting bathtub-shaped hazard rate functions. Mixture distributions provide the obvious choice for modelling such data sets but these contain too many parameters and hamper the accuracy of the inferential procedures particularly when the data are meagre. Recently, a few distributions have been proposed which are simply generalizations of the two-parameter Weibull model and are capable of producing bathtub behaviour of the hazard rate function. The Weibull extension and the modified Weibull models are two such families. This study focuses on comparing these two distributions for data sets exhibiting bathtub shape of the hazard rate. Bayesian tools are preferred due to their wide range of applicability in various nested and non-nested model comparison problems. Real data illustrations are provided so that a particular model can be recommended based on various tools of model comparison discussed in the paper. 相似文献
110.
高毛华 《江南大学学报(人文社会科学版)》2006,5(5):85-87
《墙上的斑点》是世界意识流短篇小说的经典之作,是一篇由一个“重要的瞬间”构筑而成的小说,通篇铺陈的是“我”在斑点的触发下细密的感触和绵延的意识,透射出作者幽雅而深邃的哲思,小说凸显了伍尔夫创作的现代理念,是文学走向人类本体的艺术探索。《墙上的斑点》是意识的流,是生命的真,是人类的心曲。 相似文献