■ 著書・論文歴
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1. |
論文 |
EM estimation of the B-spline copula with penalized pseudo-likelihood functions Statistical Papers 66(30) （共著） 2025/01 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2025/01 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | EM estimation of the B-spline copula with penalized pseudo-likelihood functions | | 執筆形態 | 共著 | | 掲載誌名 | Statistical Papers | | 掲載区分 | 国外 | | 出版社・発行元 | Springer Nature | | 巻・号・頁 | 66(30) | | 担当区分 | 筆頭著者,責任著者 | | 国際共著 | 国際共著 | | 著者・共著者 | Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin, Donald Richards | | 概要 | The B-spline copula function is defined by a linear combination of elements of the normalized B-spline basis. We develop a modified EM algorithm, to maximize the penalized pseudo-likelihood function, wherein we use the smoothly clipped absolute deviation (SCAD) penalty function for the penalization term. We conduct simulation studies to demonstrate the stability of the proposed numerical procedure, show that penalization yields estimates with smaller mean-square errors when the true parameter matrix is sparse, and provide methods for determining tuning parameters and for model selection. We analyze as an example a data set consisting of birth and death rates from 237 countries, available at the website, “Our World in Data,” and we estimate the marginal density and distribution functions of those rates together with all parameters of our B-spline copula model. | |
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2. |
論文 |
Bell numbers in Matsunaga's and Arima's Genjiko combinatorics: Modern perspectives and local limit theorems The Electronic Journal of Combinatorics 29(2) （共著） 2022/04 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2022/04 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Bell numbers in Matsunaga's and Arima's Genjiko combinatorics: Modern perspectives and local limit theorems | | 執筆形態 | 共著 | | 掲載誌名 | The Electronic Journal of Combinatorics | | 掲載区分 | 国外 | | 巻・号・頁 | 29(2) | | 担当区分 | 筆頭著者 | | 国際共著 | 国際共著 | | 著者・共著者 | Xiaoling Dou, Hsien-Kuei Hwang, Chong-Yi Li | | 概要 | We examine and clarify in detail the contributions of Yoshisuke Matsunaga (1694?–1744) to the computation of Bell numbers in the eighteenth century (in the Edo period), providing modern perspectives to some unknown materials that are by far the earliest in the history of Bell numbers. Later clarification and developments by Yoriyuki Arima (1714–1783), and several new results such as the asymptotic distributions (notably the corresponding local limit theorems) of a few closely related sequences are also given. | |
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3. |
論文 |
Causality for CHARN models Scientiae Mathematicae Japaonicae 85,pp.59-74 （単著） 2021/06 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2021/06 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Causality for CHARN models | | 執筆形態 | 単著 | | 掲載誌名 | Scientiae Mathematicae Japaonicae | | 掲載区分 | 国外 | | 巻・号・頁 | 85,pp.59-74 | | 総ページ数 | 16 | | 担当区分 | 筆頭著者,最終著者,責任著者 | | 著者・共著者 | Xiaoling Dou | |
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4. |
論文 |
An identity for two integral transforms applied to the uniqueness of a distribution via its Laplace--Stieltjes transform Statistics 55(2),367-385頁 （共著） 2021/03 |
| 言語種別 | 日本語 | | 発行・発表の年月 | 2021/03 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | An identity for two integral transforms applied to the uniqueness of a distribution via its Laplace--Stieltjes transform | | 執筆形態 | 共著 | | 掲載誌名 | Statistics | | 掲載区分 | 国外 | | 巻・号・頁 | 55(2),367-385頁 | | 総ページ数 | 19 | | 担当区分 | 最終著者 | | 国際共著 | 国際共著 | | 著者・共著者 | Gwo Dong Lin, Xiaoling Dou | | 概要 | It is well known that the Laplace–Stieltjes transform of a nonnegative random variable (or random vector) uniquely determines its distribution function. We extend this uniqueness theorem by using the Müntz–Szász Theorem and the identity for the Laplace–Stieltjes and Laplace–Carson transforms of a distribution function. The latter appears for the first time to the best of our knowledge. In particular, if X and Y are two nonnegative random variables with joint distribution H, then H can be characterized by a suitable set of countably many values of its bivariate Laplace–Stieltjes transform. The general high-dimensional case is also investigated. Besides, Lerch's uniqueness theorem for conventional Laplace transforms is extended as well. The identity can be used to simplify the calculation of Laplace–Stieltjes transforms when the underlying distributions have singular parts. Finally, some examples are given to illustrate the characterization results via the uniqueness theorem. | |
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5. |
論文 |
Dependence properties of B-spline copulas Sankhya A 83,pp.283-311 （共著） 2021/02 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2021/02 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Dependence properties of B-spline copulas | | 執筆形態 | 共著 | | 掲載誌名 | Sankhya A | | 掲載区分 | 国外 | | 巻・号・頁 | 83,pp.283-311 | | 担当区分 | 筆頭著者,責任著者 | | 国際共著 | 国際共著 | | 著者・共著者 | Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin, Donald Richards | | 概要 | We construct by using B-spline functions a class of copulas that includes the Bernstein copulas arising in Baker’s distributions. The range of correlation of the B-spline copulas is examined, and the Fréchet–Hoeffding upper bound is proved to be attained when the number of B-spline functions goes to infinity. As the B-spline functions are well-known to be an order-complete weak Tchebycheff system from which the property of total positivity of any order follows for the maximum correlation case, the results given here extend classical results for the Bernstein copulas. In addition, we derive in terms of the Stirling numbers of the second kind an explicit formula for the moments of the related B-spline functions on the right half-line. | |
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論文 |
The bivariate lack-of-memory distributions Sankhya A 81,pp.273-297 （共著） 2019/12 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2019/12 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | The bivariate lack-of-memory distributions | | 執筆形態 | 共著 | | 掲載誌名 | Sankhya A | | 掲載区分 | 国外 | | 出版社・発行元 | Springer | | 巻・号・頁 | 81,pp.273-297 | | 国際共著 | 国際共著 | | 著者・共著者 | Gwo Dong Lin, Xiaoling Dou, Satoshi Kuriki | | 概要 | We treat all the bivariate lack-of-memory (BLM) distributions in a unified approach and develop some new general properties of the BLM distributions, including joint moment generating function, product moments, and dependence structure. Necessary and sufficient conditions for the survival functions of BLM distributions to be totally positive of order two are given. Some previous results about specific BLM distributions are improved. In particular, we show that both the Marshall–Olkin survival copula and survival function are totally positive of all orders, regardless of parameters. Besides, we point out that Slepian’s inequality also holds true for BLM distributions. | |
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論文 |
An investigation of a generalized least squares estimator for non-linear time series model Scientiae Mathematicae Japonicae 82,pp.29-44 （単著） 2019/07 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2019/07 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | An investigation of a generalized least squares estimator for non-linear time series model | | 執筆形態 | 単著 | | 掲載誌名 | Scientiae Mathematicae Japonicae | | 掲載区分 | 国外 | | 巻・号・頁 | 82,pp.29-44 | | 担当区分 | 筆頭著者,最終著者,責任著者 | | 著者・共著者 | Xiaoling Dou | | 概要 | Ochi(1983) proposed an estimator for the autoregressive coefficient of the first-order autoregressive model (AR(1)) by using two constants for the end points of the process. Classical estimators for AR(1), such as the least squares estimator, Burg's estimator, and Yule- Walker estimator are obtained as special cases by choice of the constants in Ochi's estimator. By writing the first-order autoregressive conditional heteroskedastic model, ARCH(1), in a form similar to that of AR(1), we extend Ochi's estimator to ARCH(1) models. This allows introducing analogues of the least squares estimator, Burg's estimator and Yule- Walker estimator, and we compare the relations of these with Ochi's estimator for ARCH(1) models. We then provide a simulation for AR(1) models and examine the performance of Ochi's estimator. Also, we simulate Ochi's estimator for ARCH(1) with different parameter values and sample sizes. | |
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8. |
論文 |
Functional clustering of mouse ultrasonic vocalization data PLOS ONE 13(5),pp.e0196834 （共著） 2018/05 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2018/05 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Functional clustering of mouse ultrasonic vocalization data | | 執筆形態 | 共著 | | 掲載誌名 | PLOS ONE | | 掲載区分 | 国外 | | 巻・号・頁 | 13(5),pp.e0196834 | | 担当区分 | 筆頭著者,責任著者 | | 著者・共著者 | Xiaoling Dou, Shingo Shirahata, Hiroki Sugimoto | | 概要 | Mouse ultrasonic vocalizations (USVs) are studied in many fields of science. However, various noise and varied USV patterns in observed signals make complete automatic analysis difficult. We improve several methods to reduce noise, detect USV calls and automatically cluster USV calls. After reduction of noise and detection of USV calls, we consider USV calls as functional data and characterize them as USV functions with B-spline basis functions. For discontinuous USV calls, breakpoints in the USV functions are defined using multiple knots in the construction of the B-spline basis functions, and a hierarchical method is used to cluster the USV functions by shape. We finally show the performance of the proposed methods with USV data recorded for laboratory mice. | |
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論文 |
Box-Cox変換を用いたGranger因果性検定 理工研報告特集号 13,3-17頁 （共著） 2016/03 |
| 言語種別 | 日本語 | | 発行・発表の年月 | 2016/03 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Box-Cox変換を用いたGranger因果性検定 | | 執筆形態 | 共著 | | 掲載誌名 | 理工研報告特集号 | | 掲載区分 | 国内 | | 巻・号・頁 | 13,3-17頁 | | 担当区分 | 筆頭著者,責任著者 | | 著者・共著者 | 小池隆之介, Dou Xiaoling, 谷口正信, Xue Yujie | |
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10. |
論文 |
EM algorithms for estimating the Bernstein copula Computational Statistics & Data Analysis 93,pp.228-245 （共著） 2016/01 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2016/01 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | EM algorithms for estimating the Bernstein copula | | 執筆形態 | 共著 | | 掲載誌名 | Computational Statistics & Data Analysis | | 掲載区分 | 国外 | | 出版社・発行元 | ELSEVIER | | 巻・号・頁 | 93,pp.228-245 | | 担当区分 | 筆頭著者,責任著者 | | 国際共著 | 国際共著 | | 著者・共著者 | Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin, and Donald Richards | | 概要 | A method that uses order statistics to construct multivariate distributions with fixed marginals and which utilizes a representation of the Bernstein copula in terms of a finite mixture distribution is proposed. Expectation–maximization (EM) algorithms to estimate the Bernstein copula are proposed, and a local convergence property is proved. Moreover, asymptotic properties of the proposed semiparametric estimators are provided. Illustrative examples are presented using three real data sets and a 3-dimensional simulated data set. These studies show that the Bernstein copula is able to represent various distributions flexibly and that the proposed EM algorithms work well for such data. | |
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論文 |
Noise reduction and classification of mouse ultrasonic vocalization data ASTE Special Issue on the “Financial & Pension Mathematical Science” 12,pp.71-79 （共著） 2015/03 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2015/03 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Noise reduction and classification of mouse ultrasonic vocalization data | | 執筆形態 | 共著 | | 掲載誌名 | ASTE Special Issue on the “Financial & Pension Mathematical Science” | | 掲載区分 | 国内 | | 巻・号・頁 | 12,pp.71-79 | | 担当区分 | 筆頭著者,責任著者 | | 著者・共著者 | Xiaoling Dou, Shingo Shirahata, Sugimoto Hiroki, Tsuyoshi Koide | |
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論文 |
Recent developments on the construction of bivariate distributions with fixed marginals Journal of Statistical Distributions and Applications 1(14) （共著） 2014/06 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2014/06 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Recent developments on the construction of bivariate distributions with fixed marginals | | 執筆形態 | 共著 | | 掲載誌名 | Journal of Statistical Distributions and Applications | | 掲載区分 | 国外 | | 出版社・発行元 | Springer Nature | | 巻・号・頁 | 1(14) | | 国際共著 | 国際共著 | | 著者・共著者 | Gwo Dong Lin, Xiaoling Dou, Satoshi Kuriki, Jin-Sheng Huang | | 概要 | Constructing a bivariate distribution with specific marginals and correlation has been a challenging problem since 1930s. In this survey we shall focus on the recent developments on the FGM-related distributions, including Sarmanov and Lee’s distributions, Baker’s distributions and Bayramoglu’s distributions. This complements the most recent works of (i) the review by Sarabia and Gómez-Déniz (2008, SORT) and (ii) the monograph by Balakrishnan and Lai (2009, Springer). Some new results are provided. | |
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論文 |
Influence analysis in quantitative trait loci detection Biometrical Journal 56(4),pp.697-719 （共著） 2014/04 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2014/04 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Influence analysis in quantitative trait loci detection | | 執筆形態 | 共著 | | 掲載誌名 | Biometrical Journal | | 掲載区分 | 国外 | | 巻・号・頁 | 56(4),pp.697-719 | | 担当区分 | 筆頭著者,責任著者 | | 著者・共著者 | Xiaoling Dou, Satoshi Kuriki, Akiteru Maeno, Toyoyuki Takada, Toshihiko Shiroishi | | 概要 | This paper presents systematic methods for the detection of influential individuals that affect the log odds (LOD) score curve. We derive general formulas of influence functions for profile likelihoods and introduce them into two standard quantitative trait locus detection methods—the interval mapping method and single marker analysis. Besides influence analysis on specific LOD scores, we also develop influence analysis methods on the shape of the LOD score curves. A simulation-based method is proposed to assess the significance of the influence of the individuals. These methods are shown useful in the influence analysis of a real dataset of an experimental population from an F2 mouse cross. By receiver operating characteristic analysis, we confirm that the proposed methods show better performance than existing diagnostics. | | researchmap用URL | https://doi.org/10.1002/bimj.201200178 | |
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論文 |
Dependence structures and asymptotic properties of Baker's distributions with fixed marginals Journal of Statistical Planning and Inference 143(8),pp.1343-1354 （共著） 2013/03 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2013/03 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Dependence structures and asymptotic properties of Baker's distributions with fixed marginals | | 執筆形態 | 共著 | | 掲載誌名 | Journal of Statistical Planning and Inference | | 掲載区分 | 国外 | | 出版社・発行元 | ELSEVIER | | 巻・号・頁 | 143(8),pp.1343-1354 | | 担当区分 | 筆頭著者,責任著者 | | 国際共著 | 国際共著 | | 著者・共著者 | Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin | | 概要 | We investigate the properties of Baker's (2008) bivariate distributions with fixed marginals and their multivariate extensions. The properties include the weak convergence to the Fréchet–Hoeffding upper bound, the product-moment convergence, as well as the dependence structures TP2 (totally positive of order 2), or MTP2 (multivariate TP2). In proving the weak convergence, a generalized local limit theorem for binomial distribution is provided. | |
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論文 |
Dependence structure of bivariate order statistics with applications to Bayramouglu's distributions Journal of Multivariate Analysis 114,pp.201-208 （共著） 2013/02 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2013/02 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Dependence structure of bivariate order statistics with applications to Bayramouglu's distributions | | 執筆形態 | 共著 | | 掲載誌名 | Journal of Multivariate Analysis | | 掲載区分 | 国外 | | 出版社・発行元 | ELSEVIER | | 巻・号・頁 | 114,pp.201-208 | | 国際共著 | 国際共著 | | 著者・共著者 | J. S. Huang, Xiaoling Dou, Satoshi Kuriki, G. D. Lin | |
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論文 |
Comparisons of B-spline procedures with kernel procedures in estimating regression functions and their derivatives Journal of the Japanese Society of Computational Statistics 22,pp.57-77 （共著） 2009/01 |
| 言語種別 | 英語 | | 発行・発表の年月 | 2009/01 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | Comparisons of B-spline procedures with kernel procedures in estimating regression functions and their derivatives | | 執筆形態 | 共著 | | 掲載誌名 | Journal of the Japanese Society of Computational Statistics | | 掲載区分 | 国内 | | 巻・号・頁 | 22,pp.57-77 | | 担当区分 | 筆頭著者,責任著者 | | 著者・共著者 | Xiaoling Dou, Shingo Shirahata | | 概要 | There are several methods to estimate regression functions and their derivatives. Among them, B-spline procedures and kernel procedures are known to be useful. However, at present, it is not determined which procedure is better than the others. In this paper, we investigate the performance of the procedures by computer simulations. | |
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論文 |
関数データの判別分析 -- 線形的手法と関数部分空間法 -- 日本計算機統計学会 19(1),13-30頁 （共著） 2007/07 |
| 言語種別 | 日本語 | | 発行・発表の年月 | 2007/07 | | 形態種別 | 研究論文 | | 査読 | 査読あり | | 標題 | 関数データの判別分析 -- 線形的手法と関数部分空間法 -- | | 執筆形態 | 共著 | | 掲載誌名 | 日本計算機統計学会 | | 掲載区分 | 国内 | | 巻・号・頁 | 19(1),13-30頁 | | 担当区分 | 筆頭著者,責任著者 | | 著者・共著者 | Dou Xiaoling, 白旗慎吾, 坂本亘 | | 概要 | 関数データの判別分析には,フィルタリング法をはじめ,正則化判別分析や関数線形判別分析などの線形的手法が提案されてきた.しかし,教師データの数が少ない場合や,各クラスが共通な共分散行列をもつ正規分布に従うと仮定できない場合には,線形判別分析が必ずしも有効とは限らない.本稿では,非線形の判別分析の一つとして関数主成分分析の基底展開アプローチを用いる関数部分空間法とそれと同じアイデアで構成された関数CLAFIC法を提案する.関数部分空間法と関数CLAFIC法のメリットとしては,母集団の潜在分布を知る必要がなく,従来の多変量の主成分分析による部分空間法より,必要とする教師データが少なく,より速く解析できることが挙げられる.関数部分空間法と関数CLAFIC法の有効性を確認するために,フィルタリング法との比較を行った.これらの手法の解析結果を比べてみた結果,関数部分空間法,関数CLAFIC法も有効な手法である,特に,教師データの数が少ないとき,線形的判別手法より安定した判別結果を与えることがわかった. | |
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