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Target detection for low angle radar based on multi-frequency order-statistics

Journal of Systems Engineering and Electronics 2015年第2期26卷 267-273页

作者： Yunhe Cao Shenghua Wang Yu Wang Shenghua Zhou National Laboratory of Radar Signal Processing Xidian University

For radar targets flying at low altitude, multiple pathways produce fade or enhancement relative to the level that would be expected in a free-space environment. In this paper, a new detec- tion method based on a wide-ranging multi-frequency radar for low angle targets is proposed. Sequential transmitting multiple pulses with different frequencies are first applied to decorrelate the cohe- rence of the direct and reflected echoes. After receiving all echoes, the multi-frequency samples are arranged in a sort descending ac- cording to the amplitude. Some high amplitude echoes in the same range cell are accumulated to improve the signal-to-noise ratio and the optimal number of high amplitude echoes is analyzed and given by experiments. Finally, simulation results are presented to verify the effectiveness of the method.

关键词： multipath signal detection order statistic multi-frequency low angle

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A New Logarithmic Family of Distributions: Properties and Applications

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Computers, Materials & Continua 2021年第1期66卷 919-929页

作者： Yanping Wang Zhengqiang Feng Almaspoor Zahra Central South University Business School ChangshaChina Hunan International Business Vocational College ChangshaChina Department of statistics Yazd UniversityYazdIran

In recent years,there has been an increased interest among the researchers to propose new families of distributions to provide the best fit to lifetime data with monotonic(increasing,decreasing,constant)and non-monotonic(unimodal,modified unimodal,bathtub)hazard *** further carry this area of research and propose a new family of lifetime distributions called a new logarithmic family via the T-X family *** the proposed family,explicit expressions for some mathematical properties along with the estimation of parameters through Maximum likelihood method are discussed.A sub-model,called a new logarithmic Weibull distribution is taken *** proposed model is very flexible and can be used to model data with increasing,decreasing,modified unimodal or bathtub shaped hazard *** maximum likelihood estimators of the model parameters are *** assess the behavior of the maximum likelihood estimators,a comprehensive Monte Carlo simulation study has been carried ***,the potentiality of the new model is shown via analyzing two real data sets taken from reliability engineering and biomedical *** comparison of the proposed model is made with the other well-known competitors such as(i)the three parameters exponentiated Weibull and Marshall–Olkin Weibull distributions and(ii)a four-parameter beta Weibull *** practical applications show that the proposed model performs much better than the competitive models and can be used as a good candidate model to analyze data in engineering,medical sciences and other related fields.

关键词： Weibull distribution moments order statistic residual life function maximum likelihood estimation

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Uniformity of Direct Unions of Chord

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Acta Mathematicae Applicatae Sinica 2015年第1期31卷 225-234页

作者： Rafa Kapelko Karol Marchwicki Department of Computer Science Faculty of Fundamental Problems of Technology Wrocaw University of Technology

In this article we investigate the uniformity of direct union of k copies of Chord which is an improvedversion of Chord P2P system. We are interested in the maximal and the minimal areas controlled by nodes inthe system. We recall that the function n→k/k!.n-（1＋1/k）is a lower threshold and that the function n→1/n In（nlnk-k（n（k-1）1）/（k-1）1is an upper threshold for sizes of areas controlled by nodes in the direct union of kcopies of Chord.

关键词： peer-to-peer network modification of chord threshold asymptotic order statistic

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Joint Limit Distributions of Exceedances Point Processes and Partial Sums of Gaussian Vector Sequence

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Acta Mathematica Sinica,English Series 2012年第8期28卷 1647-1662页

作者： Zuo Xiang PENG Jin Jun TONG Zhi Chao WENG School of Mathematics and statistics Southwest University Department of Actuarial Science Faculty of Business and EconomicsUniversity of LausanneUNIL-Dorigny 1015 LausanneSwitzerland

In this paper, we study the joint limit distributions of point processes of exceedances and partial sums of multivariate Gaussian sequences and show that the point processes and partial sums are asymptotically independent under some mild conditions. As a result, for a sequence of standardized stationary Gaussian vectors, we obtain that the point process of exceedances formed by the sequence （centered at the sample mean） converges in distribution to a Poisson process and it is asymptotically independent of the partial sums. The asymptotic joint limit distributions of order statistics and partial sums are also investigated under different conditions.

关键词： Multivariate Gaussian sequence exceedances point process partial sum order statistic joint limit distribution

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Stochastic Comparison of order statistics from Heterogeneous and Dependent Random Variables

Stochastic Comparison of Order Statistics from Heterogeneous...

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第十届海峡两岸统计与概率研讨会

作者： Zhang Yanfen University of Xiamen

Stochastic comparison on order statistics has been paid lots of attention recently. This paper devotes to investigating the ordering properties of order statistics from heterogeneousdependent observations. We derive likelihood ratio order, reversed hazard order and the usual stochastic order for extremes of samples following proportional reversed hazard rate model and copula, including extreme value copula and Archimedean copula. Besides, the usual stochastic order is also obtained for maximums of samples following scale model and Archimedean copula. Several applications of order statistics in system reliability and auction are presented as well.

关键词： order statistic copula stochastic order majorization PRHR scale

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A generalisation of the exponential distribution and its applications onmodelling skewed data

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statistical Theory and Related Fields 2018年第1期2卷 68-79页

作者： Muhammad Zubair Ayman Alzaatreh M.H.Tahir Muhammad Mansoor Manat Mustafa Department of statistics The Islamia University of BahawalpurBahawalpurPakistan Department of Mathematics and statistics American University of SharjahSharjahUAE Department of statistics Government S.E CollegeBahawalpurPakistan Department of Mathematics Nazarbayev UniversityAstanaKazakhstan

In this paper,a generalisation of the exponential distribution,namely,Weibull exponentiatedexponential(WEE)distribution,is *** shapes of the density function possess *** can accommodate various hazard shapes such as reversed-J,increasing,decreasing,constant and upside-down *** properties of the WEE distribution are studiedincluding shape properties,quantile function,expressions for the moments and incompletemoments,probability weighted moments and Shannon *** obtain the asymptotic distributions for the sample minimum and *** model parameters are estimated bymaximum *** usefulness of the new model is illustrated by means of two real lifetimedata sets.

关键词： Exponentiated-exponential moments order statistic Shannon entropy T-X family Weibull-X family

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statistical Inference of Truncated Weibull-Rayleigh Distribution: Its Properties and Applications

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Open Journal of Modelling and Simulation 2021年第3期9卷 281-298页

作者： Eman H. Khalifa Dina A. Ramadan B. S. El-Desouky Department of Mathematics Faculty of Science Mansoura University Mansoura Egypt

In this paper, we derived a new distribution named as truncated Weibull Rayleigh (TW-R) distribution. Its characterization and statistical properties are obtained, such as reliability function, hazard function, reversed hazard rate function, cumulative hazard rate function, quantile function, rth moment, incomplete moments, Rényi and q entropies and order statistic. Parameter estimation is implemented using method of maximum-likelihood estimation and Fisher information matrix is derived. Finally, application of the presented new distribution to a real data representing the failure times of 63 airbcraft Windshield is given and its goodness-of-fit is demonstrated. In addition to, comparisons to other models are implemented to show the flexibility of the presented model.

关键词： Rayleigh Distribution Truncated Weibull G-Family Moments Entropies Quantile Function order statistic Maximum Likelihood Estimator

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