The objective of this study was to evaluate the ability of three statistical distributions to characterize the vertical distribution of foliage mass in canopies of even-aged loblolly pine stands, based on airborne-scanning light detection and ranging (LiDAR) data. The functions were the Weibull and SB distributions and a mixture of the lognormal and Weibull distributions. Results indicated that...

The transient data of the pinch force produced between the human forefinger and thumb have been shown to fit the functional form of the well-known lognormal density function. Isometeric force generation is achieved by the stochastic recruitment of individual motor units, which sum together. Evidence from animal and human experiments demonstrates that the force generation can be modelled by unde...

The lognormal distribution had long been thought to be the most appropriate probability distribution for Japanese sentence length distributions. Yet this view had been supported only by few researches with sparse sampling data and reasoning contradicting language reality. In order to show a more realistic approach, we analyzed a substantial number of samples. At first, 150 essays and short stor...

This paper presents two main results. The first result indicates that in materials with broadly distributed microscopic heterogeneities, the fracture strength distribution corresponding to the peak load of the material response does not follow the commonly used Weibull and (modified) Gumbel distributions. Instead, a lognormal distribution describes more adequately the fracture strengths corresp...

The statistics involving random multiplicative stochastic processes have been studied empirically. Examples taken here are the duration distribution of disability for aged people, the life span of animals and the population distribution of prefectures in Post-World War II Japan. We found that lognormal distributions show excellent fit with various data for the duration distribution of disabilit...