Robust versions of the exponential and Holt–Winters smoothing method for forecasting are presented. They are suitable for forecasting univariate time series in the presence of outliers. The robust exponential and Holt–Winters smoothing methods are presented as recursive updating schemes that apply the standard technique to pre-cleaned data. Both the update equation and the selection of the smoo...

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EDITOR—Holt-Oram syndrome (HOS) is a developmental disorder characterised by malformations of the radial ray of the forelimb and by congenital heart disease. The syndrome shows a marked variability in phenotype, with radial ray defects ranging from minor thumb abnormality through to severe reduction defect or phocomelia. The cardiac manifestations of HOS are similarly varied, and patients can p...

The paper suggests an improvement of Holt method for irregular time series as was presented by Wright. The modification deals with problem of time-close observations, i.e. two subsequent observations with time distance much shorter than in average. If this situation occurs in time series when using the original Wright’s formulae, one can obtain seriously wrong results. Simulation study is provi...

Article history: Received 20 January 2012 Available online 26 February 2013 Communicated by Derek Holt

Article history: Received 29 June 2009 Available online 1 October 2009 Communicated by Derek Holt

Article history: Received 21 January 2013 Available online 16 July 2013 Communicated by Derek Holt

We observe entanglement between photons in controlled super-position states of orbital angular momentum (OAM). By drawing a direct analogy between OAM and polarization states of light, we demonstrate the entangled nature of high order OAM states generated by spontaneous downconversion through violation of a suitable Clauser Horne Shimony Holt (CHSH)-Bell inequality. We demonstrate this violatio...

A multipartite quantum state violates a Bell inequality asymptotically if, after jointly processing by general local operations an arbitrarily large number of copies of it, the result violates the inequality. In the bipartite case we show that asymptotic violation of the Clauser-Horne-Shimony-Holt inequality is equivalent to distillability. Hence, bound entangled states do not violate it. In th...