During the progression of complex diseases, it is common to observe that the deterioration of the condition does not follow a smooth trajectory, and there is often a significant and critical transition from one state ...
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We study a multiple-urn version of the Ehrenfest *** this setting,we denote the n urns by Urn l to Urn n,where n≥***,M balls are randomly placed in the n *** each subsequent step,a ball is selected and put into the o...
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We study a multiple-urn version of the Ehrenfest *** this setting,we denote the n urns by Urn l to Urn n,where n≥***,M balls are randomly placed in the n *** each subsequent step,a ball is selected and put into the other n-1 urns with equal *** expected hitting time leading to a change of the M balls'status is computed using the method of stopping *** a corollary,we obtain the expected hitting time of moving all the M balls from Urn 1 to Urn 2.
Approximate periodic time series means it has an approximate periodic trend. The so-called approximate periodicity refers that it looks like having periodicity, however the length of each period is not constant such a...
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Approximate periodic time series means it has an approximate periodic trend. The so-called approximate periodicity refers that it looks like having periodicity, however the length of each period is not constant such as sunspot data. Approximate periodic time series has a wide application prospect in modelling social economic phenomenon. As for approximate periodic time series, the key problem is to depict its approximate periodic trend because it can be dealt as an ordinary time series only if its approximate periodic trend has been depicted. However,there is little study on depicting approximate periodic *** the paper, the authors first establish some necessary theories, especially bring forward the concept of shape-retention transformation with lengthwise compression and obtain necessary and sufficient condition for linear shape-retention transformation with lengthwise compression,then basing on the theories the authors present a method to estimate scale transformation, which can model approximate periodic trend very clearly. At last, a simulated example is analyzed by this presented method. The results show that the presented method is very effective and very powerful.
The paper first analyzes price change due to stock splits in Chinese stock markets,which shows stock prices typically go up for stock *** theoretical analyses based on risk theory are presented to explain the reason,w...
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The paper first analyzes price change due to stock splits in Chinese stock markets,which shows stock prices typically go up for stock *** theoretical analyses based on risk theory are presented to explain the reason,where the method comes from a new perspective and obtained theoretical conclusions show that stock splits typically make stock price go up if risk-compensation function is convex,and go down if risk-compensation function is *** prices typically go up for stock splits because risk-compensation functions are mainly *** obtained conclusions are consistent with the known results in the last three decades.
Space-filling designs are widely used in computer *** are frequently evaluated by the orthogonality and distance-related *** orthogonal arrays is an appealing approach to constructing orthogonal space-filling *** impo...
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Space-filling designs are widely used in computer *** are frequently evaluated by the orthogonality and distance-related *** orthogonal arrays is an appealing approach to constructing orthogonal space-filling *** important issue that has been rarely addressed in the literature is the design selection for the initial orthogonal *** paper studies the maximin L_(2)-distance properties of orthogonal designs generated by rotating two-level orthogonal arrays under three *** provide theoretical justifications for the rotation method from a maximin distance perspective and further propose to select initial orthogonal arrays by the minimum G_(2)-aberration *** infinite families of orthogonal or 3-orthogonal U-type designs,which also perform well under the maximin distance criterion,are obtained and *** are presented to show the effectiveness of the constructed designs for building statistical surrogate models.
Length-biased data are encountered in many fields,including economics,engineering and epidemiological cohort *** are two main challenges in the analysis of such data:the assumption of independent censoring is violated...
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Length-biased data are encountered in many fields,including economics,engineering and epidemiological cohort *** are two main challenges in the analysis of such data:the assumption of independent censoring is violated and the assumed model for the underlying population is no longer satisfied for the observed *** this paper,a proportional mean residual life varyingcoefficient model for length-biased data is considered and a local pseudo likelihood method is proposed for estimating the coefficient functions in the *** properties are investigated for the proposed *** finite sample performance of the proposed methodology is demonstrated by simulation ***,the method is applied to a real data set concerning the Academy Awards.
Firstly,this paper proposes a generalized log-determinant optimization model with the purpose of estimating the high-dimensional sparse inverse covariance *** the normality assumption,the zero components in the invers...
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Firstly,this paper proposes a generalized log-determinant optimization model with the purpose of estimating the high-dimensional sparse inverse covariance *** the normality assumption,the zero components in the inverse covariance matrices represent the conditional independence between pairs of variables given all the other *** generalized model considered in this study,because of the setting of the eigenvalue bounded constraints,covers a large number of existing estimators as special ***,rather than directly tracking the challenging optimization problem,this paper uses a couple of alternating direction methods of multipliers(ADMM)to solve its dual model where 5 separable structures are *** first implemented algorithm is based on a single Gauss–Seidel iteration,but it does not necessarily converge *** contrast,the second algorithm employs the symmetric Gauss–Seidel(sGS)based ADMM which is equivalent to the 2-block iterative scheme from the latest sGS decomposition ***,we do numerical simulations using the synthetic data and the real data set which show that both algorithms are very effective in estimating high-dimensional sparse inverse covariance matrix.
The unified weighing scheme for the local-linear smoother in analysing functional data can deal with data that are dense,sparse or of neither *** this paper,we focus on the convergence rate of functional principal com...
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The unified weighing scheme for the local-linear smoother in analysing functional data can deal with data that are dense,sparse or of neither *** this paper,we focus on the convergence rate of functional principal component analysis using this *** sure asymptotic consistency and rates of convergence for the estimators of eigenvalues and eigenfunctions have been *** also provide the convergence rate of the variance estimation of the measurement *** on the results,the number of observations within each curve can be of any rate relative to the sample size,which is consistent with the earlier conclusions about the asymptotic properties of the mean and covariance estimators.
This paper considers a competing risks model for right-censored and length-biased survival data from prevalent *** propose a nonparametric quantile inference procedure for cause-specific residual life distribution wit...
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This paper considers a competing risks model for right-censored and length-biased survival data from prevalent *** propose a nonparametric quantile inference procedure for cause-specific residual life distribution with competing risks *** also derive the asymptotic properties of the proposed estimators of this quantile *** studies and the unemployment data demonstrate the practical utility of the methodology.
Prevalent cohort studies frequently involve length-biased and right-censored data, a fact that has drawn considerable attention in survival analysis. In this article, we consider survival data arising from lengthbiase...
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Prevalent cohort studies frequently involve length-biased and right-censored data, a fact that has drawn considerable attention in survival analysis. In this article, we consider survival data arising from lengthbiased sampling, and propose a new semiparametric-model-based approach to estimate quantile differences of failure time. We establish the asymptotic properties of our new estimators theoretically under mild technical conditions, and propose a resampling method for estimating their asymptotic variance. We then conduct simulations to evaluate the empirical performance and efficiency of the proposed estimators, and demonstrate their application by a real data analysis.
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