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short communications
The statistical properties of intensities affected by counting loss based on conventional non-extended and extended dead-time models are examined by a Monte Carlo method. It has been confirmed that the variance of the counted pulses for the non-extended dead-time model with the rate of generated pulses r and the dead-time τ is given by 
, while that for the extended dead-time model is given by ![\sigma_{\rm ext}^2 = \mu_{\rm ext} [1 - 2r\tau \exp(-r \tau)]](//journals.iucr.org/j/issues/2007/05/00/fe5030//teximages/fe5030fi2.gif)
, as proposed by Laundy & Collins [(2003). J. Synchrotron Rad. 10, 214–218], for the mean values of counted pulses μnon and μext, respectively. Practical formulae to estimate the statistical errors of the corrected intensities are also presented.
, while that for the extended dead-time model is given by ![\sigma_{\rm ext}^2 = \mu_{\rm ext} [1 - 2r\tau \exp(-r \tau)]](http://journals.iucr.org/j/issues/2007/05/00/fe5030//teximages/fe5030fi2.gif){kind=small}
, as proposed by Laundy & Collins [(2003). J. Synchrotron Rad. 10, 214–218], for the mean values of counted pulses μnon and μext, respectively. Practical formulae to estimate the statistical errors of the corrected intensities are also presented.
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