1991
DOI: 10.1086/170594
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3C 345 - Is the variability of quasars nonlinear?

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Cited by 24 publications
(24 citation statements)
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“…General reviews of kernel estimators are given by Silverman (1986) and Scott (1992); applications to astronomical data are given by Vio et al (1994), Tremblay & Merritt (1995), and Ryden (1996). Here, we give a brief overview, adopting the notation of Ryden (1996).…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…General reviews of kernel estimators are given by Silverman (1986) and Scott (1992); applications to astronomical data are given by Vio et al (1994), Tremblay & Merritt (1995), and Ryden (1996). Here, we give a brief overview, adopting the notation of Ryden (1996).…”
Section: Methodsmentioning
confidence: 99%
“…This formula for h minimizes the expected value of the mean square error for samples that are not strongly skewed (Silverman 1986;Vio et al 1994). We choose a Gaussian kernel to ensure thatf f is smooth and differentiable.…”
Section: Methodsmentioning
confidence: 99%
“…In many papers (e.g. Vio et al 1994;Fadda et al 1998;Ferdosi et al 2011) it has been shown that kernel smoothing is the best and recommended choice for density estimation. It is more robust and reliable than other simpler methods and provides comparable (or better) results than methods with high computational costs (e.g.…”
Section: Appendix A: Kernel Density Estimationmentioning
confidence: 99%
“…This cut has been successfully employed in many studies (Girardi et al 1998;Girardi & Mezzetti 2001). To evaluate the optimal smoothing parameter, we minimise the integrated square error (Pisani 1993), fixing the initial value to the estimate proposed by Vio et al (1994). As a second step, we take into account both the position and the velocity information by using the procedure of the shifting gapper (Fadda et al 1996;Girardi et al 1998).…”
Section: Appendix A: Velocity Dispersionmentioning
confidence: 99%