Contribution to the bandwidth choice for kernel density estimates

Horová, Ivana; Zelinka, Jiří

doi:10.1007/s00180-007-0020-9

Cited by 19 publications

(14 citation statements)

References 17 publications

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“…According to Horova et al (2008), this equation (2.1) does not have a general closed-form expression, so we result to its asymptotic approximation (AMISE). Hence (2.1) could be factored as;…”

Section: Literature Reviewmentioning

confidence: 96%

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2019

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Mission ATINER is a World Non-Profit Association of Academics and Researchers based in Athens. ATINER is an independent Association with a Mission to become a forum where Academics and Researchers from all over the world can meet in Athens, exchange ideas on their research and discuss future developments in their disciplines, as well as engage with professionals from other fields. Athens was chosen because of its long history of academic gatherings, which go back thousands of years to Plato's Academy and Aristotle's Lyceum. Both these historic places are within walking distance from ATINER"s downtown offices. Since antiquity, Athens was an open city. In the words of Pericles, Athens"…is open to the world, we never expel a foreigner from learning or seeing". ("Pericles" Funeral Oration", in Thucydides, The History of the Peloponnesian War). It is ATINER"s mission to revive the glory of Ancient Athens by inviting the World Academic Community to the city, to learn from each other in an environment of freedom and respect for other people"s opinions and beliefs. After all, the free expression of one"s opinion formed the basis for the development of democracy, and Athens was its cradle. As it turned out, the Golden Age of Athens was in fact, the Golden Age of the Western Civilization. Education and (Re)searching for the "truth" are the pillars of any free (democratic) society. This is the reason why Education and Research are the two core words in ATINER"s name.

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Section: Literature Reviewmentioning

confidence: 96%

“…We observed that the quality of the AMISE to the MISE is given according to Horova et al (2008) . The big O notation is applied element-wise.…”

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confidence: 99%

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2019

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“…The optimal smoothing parameter is defined to be the value of h that minimizes the error between the estimated pdf and the true pdf. The most common metric to represent this error is the mean integrated squared error (MISE) which is expressed as [12]…”

Section: Smoothing Parameter Selectionmentioning

confidence: 99%

A semi-analytical performance prediction of a digital communication system using Fourier transform inversion

Naamane

Et-tolba²,

Belkasmi

2015

J Wireless Com Network

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Analytical performance evaluation of a digital communication system remains a serious problem especially when a sophisticated digital signal processing is considered. Moreover, it is difficult to obtain the expected performance of such system using the Monte Carlo simulation method. In this paper, we propose a new semi-analytical approach for predicting error probability in a digital communication system. This approach is based on Fourier transform inversion formula to estimate the probability density function (pdf) of the observed soft sample at the receiver. Furthermore, we applied a bootstrap method for selecting the optimal smoothing parameter to make the proposed semi-analytical method more accurate. Simulation results show that the obtained semi-analytical error probability is close to the one measured using Monte Carlo simulation and provides a significant gain in terms of computing time. Besides, the use of the bootstrap method decreases the squared error between the true pdf and the estimated one.

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“…Hazard of death was computed on the same time scale. In the smoothing procedure used to compute the hazard [15], the smoothing bandwidth was optimized by the method proposed by Harová and Zelinka [16].…”

Section: Historical Background Of the National Registry Of Patients Wmentioning

confidence: 99%

Current status of Japanese HIV-infected patients with coagulation disorders: coinfection with both HIV and HCV

et al. 2008

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We herein report on the current status of Japanese HIV-positive patients with coagulation disorders, primarily hemophilia, based on the national survey of 31 May 2006. The total number of registered patients was 1,431 (Hemophilia A 1,086; Hemophilia B 325; von Willebrand disease 8; others 12), and 604 of these patients were deceased by 31 May 2006. The survival rate after the beginning of 1983 was evaluated by the Kaplan-Meier method. The total number of surviving patients was 827, and the survival rate on 31 May 2006 was 55.7 +/- 1.4%. Among the 827 surviving patients, HCV antibody was observed in 740, was negative in 16, and was not reported in 71 patients. Thus, the prevalence of HCV infection was 98% in the surviving patients based on the presence of HCV antibody. Among the 604 deceased patients, liver disease was reported as a cause of death in 149 cases (25%), and infection with HCV was reported as the possible cause of liver disease in 120 cases (20%). After 1997, 63 cases among the subtotal of 148 deaths had critical hepatic disease that originated from HCV infection, which accounted for 43% of the subtotal. The cumulative rate of patients who received interferon therapy was 32%. Interferon therapy should be prescribed more frequently to HIV-positive patients with coagulation disorders in order to realize the survival benefits, although clinicians should be aware of side effects and toxicities.

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Contribution to the bandwidth choice for kernel density estimates

Abstract: Kernel, Smoothing parameter, Iterative method, 62G07, 30C40,

Cited by 19 publications

References 17 publications

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A semi-analytical performance prediction of a digital communication system using Fourier transform inversion

Current status of Japanese HIV-infected patients with coagulation disorders: coinfection with both HIV and HCV

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