1 2 Lognormal distribution of firing time and rate from a single neuron? 3 4 5 Eszter A. Kish , Claes-Göran Granqvist , András Dér , Laszlo B. Kish 4,a 6 7 1 Center for Learning and Memory, The University of Texas at Austin, 1 University 8 Station, Stop C7000, Austin, TX 78712-0805 9 10 2 Department of Engineering Sciences, The Ångström Laboratory, Uppsala University, P. 11 O. Box 534, SE-75121...

In this paper we are concerned with the distributional difference of forward swap rates between the lognormal forward–Libor model (LFM) or “Libor market model” and the lognormal forward-swap model (LSM) or “swap market model”, the two fundamental models for interest-rate derivatives. To measure this distributional difference, we resort to a “metric” in the space of distributions, the well known...

In modeling the rate of return associated with financial instruments, common probability distributions include the lognormal, gamma, and Weibull distributions. Furthermore, the method of maximum likelihood is widely used to estimate the unknown parameters of distributions due to the highly desirable properties of maximum likelihood estimators (MLEs). These properties include asymptotic unbiased...

We report empirical studies on the personal income distribution, and clarify that the distribution pattern of the lognormal with power law tail is the universal structure. We analyze the temporal change of Pareto index and Gibrat index to investigate the change of the inequality of the income distribution. In addition some mathematical models which are proposed to explain the power law distribu...

Many existing methods of statistical inference and analysis rely heavily on the assumption that the data are normally distributed. However, the normality assumption is not fulfilled when dealing with data which does not contain negative values or are otherwise skewed – a common occurrence in diverse disciplines such as finance, economics, political science, sociology, philology, biology and phy...

The effects of subgrid cloud variability on grid-average microphysical rates and radiative fluxes are examined by use of long-term retrieval products at the Tropical West Pacific, Southern Great Plains, and North Slope of Alaska sites of the Department of Energy’s Atmospheric Radiation Measurement program. Four commonly used distribution functions, the truncated Gaussian, Gamma, lognormal, and ...

We analyze a sample of bright long bursts and find that the pulses duration have a lognormal distribution while the intervals between pulses have an excess of long intervals (relative to lognormal distribution). This excess can be explained by the existence of quiescent times, long periods with no signal above the background. The lognormal distribution of the intervals (excluding the quiescent ...

We extend an earlier model of innovation dynamics based on invasive percolation by adding endogenous R&D search by economically motivated firms. The {0,1} seeding of the technology lattice is now replaced by draws from a lognormal distribution for technology ‘difficulty’. Firms are rewarded for successful innovations by increases in their R&D budget. We compare two regimes. In the first, firms ...

We examine the assertion that the two-parameter lognormal distribution is an appropriate parametric model for the shot length distributions of Hollywood films. A review of the claims made in favour of assuming lognormality for shot length distributions finds them to be lacking in methodological detail and statistical rigour. We find there is no supporting evidence to justify the assumption of l...