共查询到20条相似文献,搜索用时 15 毫秒
1.
Mohsen Pourahmadi 《Annals of the Institute of Statistical Mathematics》1994,46(4):625-631
It is shown that a degenerate rankd-variate stationary time series can be reduced to a full rank time series of lower dimension via an orthogonal transformationT provided that , the canonical correlation between past and future of the time series is strictly less than one. Procedures for estimation of rank of the multiple time series,T and testing =1 are outlined, the latter is related to testing the unit root hypothesis in ARMA models. 相似文献
2.
Detection of multiple change-points in multivariate time series 总被引:1,自引:0,他引:1
We consider the multiple change-point problem for multivariate time series, including strongly dependent processes, with an
unknown number of change-points. We assume that the covariance structure of the series changes abruptly at some unknown common
change-point times. The proposed adaptive method is able to detect changes in multivariate i.i.d., weakly and strongly dependent
series. This adaptive method outperforms the Schwarz criteria, mainly for the case of weakly dependent data. We consider applications
to multivariate series of daily stock indices returns and series generated by an artificial financial market.
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Translated from Lietuvos Matematikos Rinkinys, Vol. 46, No. 3, pp. 351–376, July–September, 2006. 相似文献
3.
Charles R. Johnson 《Linear and Multilinear Algebra》2013,61(12):1583-1590
Recently, a new class of matrices, called mixed matrices, that unifies the Z-matrices and symmetric matrices has been identified. They share the property that when the leading principal minors are positive, all principal minors are positive. It is natural to ask what other properties of M-matrices and positive definite matrices are enjoyed by mixed matrices as well. Here, we show that mixed P-matrices satisfy a broad family of determinantal inequalities, the Koteljanskii inequalities, previously known for those two classes. In the process, other properties of mixed matrices are developed, and consequences of the Koteljanskii inequalities are given. 相似文献
4.
William E. Wecker 《Stochastic Processes and their Applications》1978,8(2):153-157
The time series […,x-1y-1,x0y0,x1y1,…]> which is the product of two stationary time series xt and yt is studied. Such sequences arise in the study of nonlinear time series, censored time series, amplitude modulated time series, time series with random parameters, and time series with missing observations. The mean and autocovariance function of the product sequence are derived. 相似文献
5.
In this paper an asymptotic theory is developed for a new time series model which was introduced in a previous paper [5]. An algorithm for computing estimates of the parameters of this time series model is given, and it is shown that these estimators are asymptotically efficient in the sense that they have the same asymptotic distribution as the maximum likelihood estimators. 相似文献
6.
In the process of modeling and forecasting of fuzzy time series, an issue on how to partition the universe of discourse impacts the quality of the forecasting performance of the constructed fuzzy time series model. In this paper, a novel method of partitioning the universe of discourse of time series based on interval information granules is proposed for improving forecasting accuracy of model. In the method, the universe of discourse of time series is first pre-divided into some intervals according to the predefined number of intervals to be partitioned, and then information granules are constructed in the amplitude-change space on the basis of data of time series belonging to each of intervals and their corresponding change (trends). In the sequel, optimal intervals are formed by continually adjusting width of these intervals to make information granules which associate with the corresponding intervals become most “informative”. Three benchmark time series are used to perform experiments to validate the feasibility and effectiveness of proposed method. The experimental results clearly show that the proposed method produces more reasonable intervals exhibiting sound semantics. When using the proposed partitioning method to determine intervals for modeling of fuzzy time series, forecasting accuracy of the constructed model are prominently enhanced. 相似文献
7.
C. Villegas 《Journal of multivariate analysis》1976,6(1):31-45
A multiple time series is defined as the sum of an autoregressive process on a line and independent Gaussian white noise on a hyperplane that goes through the origin and intersects the line at a single point. This process is a multiple autoregressive time series in which the regression matrices satisfy suitable conditions. It is shown that the maximum likelihood estimates of the line and the autoregression coefficients can be obtained as the values that minimize a given function, and that the remaining maximum likelihood estimates can be computed as simple functions of the first ones. It is also shown that the maximum likelihood estimates are equivariant with respect to the group of bijective linear transformations. 相似文献
8.
Bai-suo JIN~ 《中国科学A辑(英文版)》2007,50(9):1303-1315
In the factor analysis model with large cross-section and time-series dimensions,we pro- pose a new method to estimate the number of factors.Specially if the idiosyncratic terms satisfy a linear time series model,the estimators of the parameters can be obtained in the time series model. The theoretical properties of the estimators are also explored.A simulation study and an empirical analysis are conducted. 相似文献
9.
Mikhail Dyachenko 《Journal of Mathematical Analysis and Applications》2008,339(1):503-510
In this paper we obtain a multi-dimensional analogue of the Hardy-Littlewood theorem on Fourier coefficients. 相似文献
10.
Ushangi Goginava 《Journal of Mathematical Analysis and Applications》2003,287(1):90-100
We prove that for the N-dimensional Walsh-Fourier series the maximal operator of the Marcinkiewicz means is of weak type (1,1). Moreover, the Marcinkiewicz means σnf of the function f∈L1 converge a.e. to f as n→∞. 相似文献
11.
本文主要讨论由模型Xn 1=h(en -q(n 1),-en,Xn 1-p(n 1),…Xn) en 1所确定的序列{Xn,n 1}的极限行为. 相似文献
12.
Masahiro Igarashi 《Journal of Number Theory》2011,131(3):508-518
In the present paper, we prove the cyclic sum formulas for certain parametrized multiple series. 相似文献
13.
14.
Ivor Cribben 《商业与工业应用随机模型》2019,35(2):299-320
We propose two robust data‐driven techniques for detecting network structure change points between heavy‐tailed multivariate time series for situations where both the placement and number of change points are unknown. The first technique utilizes the graphical lasso method to estimate the change points, whereas the second technique utilizes the tlasso method. The techniques not only locate the change points but also estimate an undirected graph (or precision matrix) representing the relationship between the time series within each interval created by pairs of adjacent change points. An inference procedure on the edges is used in the graphs to effectively remove false‐positive edges, which are caused by the data deviating from normality. The techniques are compared using simulated multivariate t‐distributed (heavy‐tailed) time series data and the best method is applied to two financial returns data sets of stocks and indices. The results illustrate the method's ability to determine how the dependence structure of the returns changes over time. This information could potentially be used as a tool for portfolio optimization. 相似文献
15.
Latent class analysis of time series designed to classify and compare sets of series is discussed. For a particular time series in latent class the data are independently normally distributed with a vector of means, and common variance , that is, . The function of time, , can be represented by a linear combination of low-order splines (piecewise polynomials). The probability density function for the data of a time series is posited to be a finite mixture of spherical multivariate normal densities. The maximum-likelihood function is optimized by means of an EM algorithm. The stability of the estimates is investigated using a bootstrap procedure. Examples of real and artificial data are presented. Copyright © 1999 John Wiley & Sons, Ltd. 相似文献
16.
Phillip G. Gould Anne B. Koehler J. Keith Ord Ralph D. Snyder Rob J. Hyndman Farshid Vahid-Araghi 《European Journal of Operational Research》2008
A new approach is proposed for forecasting a time series with multiple seasonal patterns. A state space model is developed for the series using the innovations approach which enables us to develop explicit models for both additive and multiplicative seasonality. Parameter estimates may be obtained using methods from exponential smoothing. The proposed model is used to examine hourly and daily patterns in hourly data for both utility loads and traffic flows. Our formulation provides a model for several existing seasonal methods and also provides new options, which result in superior forecasting performance over a range of prediction horizons. In particular, seasonal components can be updated more frequently than once during a seasonal cycle. The approach is likely to be useful in a wide range of applications involving both high and low frequency data, and it handles missing values in a straightforward manner. 相似文献
17.
Suppose that for a given time series the experimenter knows that it has a certain periodic property and that he wishes to find out the length of the period. For this problem a nonparametric procedure is proposed. It consists of a new smoothing technique based on Kendall's Tau and a specific counting method. The procedure is studied under a simple model of periodic time series which are composed of periodic (deterministic) functions, a linear trend and exchangeable (stochastic) sequences. The performance of the procedure is illustrated by a simple example. 相似文献
18.
The analysis of multivariate time series is a common problem in areas like finance and economics. The classical tools for this purpose are vector autoregressive models. These however are limited to the modeling of linear and symmetric dependence. We propose a novel copula‐based model that allows for the non‐linear and non‐symmetric modeling of serial as well as between‐series dependencies. The model exploits the flexibility of vine copulas, which are built up by bivariate copulas only. We describe statistical inference techniques for the new model and discuss how it can be used for testing Granger causality. Finally, we use the model to investigate inflation effects on industrial production, stock returns and interest rates. In addition, the out‐of‐sample predictive ability is compared with relevant benchmark models. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
19.
Topological analysis of chaotic time series data from the Belousov-Zhabotinskii reaction 总被引:1,自引:0,他引:1
G. B. Mindlin H. G. Solari M. A. Natiello R. Gilmore X. -J. Hou 《Journal of Nonlinear Science》1991,1(2):147-173
Summary We have applied topological methods to analyze chaotic time series data from the Belousov-Zhabotinskii reaction. First, the periodic orbits shadowed by the data set were identified. Next, a three-dimensional embedding without self-intersections was constructed from the data set. The topological structure of that flow was visualized by constructing a branched manifold such that every periodic orbit in the flow could be held by the branched manifold. The branched manifold, or induced template, was computed using the three lowest-period orbits. The organization of the higher-period orbits predicted by this induced template was compared with the organization of the orbits reconstructed from the data set with excellent results. The consequences of the presence of certain knots found in the data are discussed. 相似文献
20.
Andrés M. Alonso Daniel Peña Juan Romo 《Annals of the Institute of Statistical Mathematics》2003,55(4):765-796
Several techniques for resampling dependent data have already been proposed. In this paper we use missing values techniques
to modify the moving blocks jackknife and bootstrap. More specifically, we consider the blocks of deleted observations in
the blockwise jackknife as missing data which are recovered by missing values estimates incorporating the observation dependence
structure. Thus, we estimate the variance of a statistic as a weighted sample variance of the statistic evaluated in a “complete”
series. Consistency of the variance and the distribution estimators of the sample mean are established. Also, we apply the
missing values approach to the blockwise bootstrap by including some missing observations among two consecutive blocks and
we demonstrate the consistency of the variance and the distribution estimators of the sample mean. Finally, we present the
results of an extensive Monte Carlo study to evaluate the performance of these methods for finite sample sizes, showing that
our proposal provides variance estimates for several time series statistics with smaller mean squared error than previous
procedures. 相似文献