Recently, commentators have suggested that the distributional form of cost data should be explicitly modelled to gain efficiency in estimating the population mean. We perform a series of simulation experiments to evaluate the usual sample mean and the mean estimator of a lognormal distribution, in the context of both theoretical distributions and three large empirical datasets. The sample mean ...

In this paper we apply the idea of the WKB method to derive an effective single lognormal approximation for the probability distribution of the sum of two correlated lognormal variables. An approximate probability distribution of the sum is determined in closed form, and illustrative numerical examples are presented to demonstrate the validity and accuracy of the approximate distribution. Our a...

We examined time-dependent statistical properties of electromyographic (EMG) signals recorded from intrinsic hand muscles during handwriting. Our analysis showed that trial-to-trial neuronal variability of EMG signals is well described by the lognormal distribution clearly distinguished from the Gaussian (normal) distribution. This finding indicates that EMG formation cannot be described by a c...

We use daily observations from the Royal Greenwich Observatory and Kislovodsk Mountain Astronomical Station of Pulkovo to study distribution properties sunspot areas. To mitigate poor statistics in small areas, we introduce a "precision randomization" approach based on assumption that all measured areas have random component within measurement uncertainty 1 millionth solar hemisphere (M.S.H.). ...

Fiber lengths were analyzed for random samples of medium-density fiberboard (MDF) fibers and wood particles taken from eleven different populations. For six of the samples, the lognormal distribution fit the data, while the Weibull distribution did not. For three of the samples, the Weibull fit the data, while the lognormal did not. For two of the samples, both the lognormal and Weibull fit the...

The distribution of the local average power at the land mobile is widely accepted to be lognormal in both terrestrial and satellite channels. However, the mathematical form of the lognormal distribution is not convenient for analytic calculations. In this paper, we show the utility of the gamma distribution for shadow fading, in both terrestrial and satellite channels, using empirical data. Fur...

computation of the second order delay in rc-tree based circuits is important during the design process of modern vlsi systems with respect to having tree structure circuits. calculation of the second and higher order moments is possible in tree based networks. because of the closed form solution, computation speed and the ease of using the performance optimization in vlsi design methods such as...