The main goal of this paper is to develop a new generalization of balancing and Lucas-balancing sequences namely balancing and Lucas-balancing $p$-numbers and derive several identities related to them. Some combinatorial forms of these numbers are also presented.

Weak gravitational lensing provides a direct statistical measure of the dark matter distribution. The variance is easiest to measure, which constrains the degenerate product σ8Ω . The degeneracy is broken by measuring the skewness arising from the fact that densities must remain positive, which is not possible when the initially symmetric perturbations become non-linear. Skewness measures the n...

While controversy surrounds skewness attributes of typical yield distributions, a better understanding is important for agricultural policy assessment and for crop insurance rate setting. Day (1965) conjectured that crop yield skewness declines with an increase in low levels of nitrogen use, but higher levels have no effect. In a theoretical model based on the law of the minimum (von Liebig) te...

This paper investigates the significance of volatility, skewness, kurtosis, and downside risk in predicting the cross-sectional variation in future returns on corporate bonds. The results indicate a significantly positive (negative) link between volatility (skewness) and expected returns, whereas kurtosis does not have a robust incremental contribution to the predictability of bond returns. Bon...

The amplitude of the El Niño-Southern Oscillation (ENSO) would be normally distributed if the coupled Pacific ocean-atmosphere were a linear system forced by Gaussian weather noise. Moment estimates of skewness and kurtosis demonstrate that this is not the case for monthly mean anomalies in Pacific sea surface temperatures during 1950-97. The noted predominance of El Niño events compared to La ...

With necessary condition analysis (NCA), a necessity effect is estimated by calculating the amount of empty space in the upper left corner in a plot with a predictor X and an outcome Y. In the present simulation study, calculated necessity effects were found to have a negative association with the skewness of the predictor and a positive association with the skewness of the outcome. Also the st...

In Beijing, some crop field is similar to urbanized area in spectral space of ETM+ image, and this is an obstacle to extract urbanized area of Beijing from ETM+ image. Furthermore, classical texture such as variance can not improve the seperability of such two landcovers. This article proposed a skewness based framework to extract the profile of urbanized area, while skewness was seldom applied...

The aim of this study is to evaluate the relationship between lung function and kurtosis or skewness of lung density histograms on computed tomography (CT) in smokers. Forty-six smokers (age range 46?81 years), enrolled in the Lung Tissue Research Consortium, underwent pulmonary function tests (PFT) and chest CT at full inspiration and full expiration. On both inspiratory and expiratory scans, ...

this paper studies the effect of considering time varying skewness and kurtosis on the estimation of value at risk (var) for both long and short positions using the hyaparch model and daily data for tehran stock exchange price index (tepix). our results show that applying conditional distributions with time varying or constant skewness and degrees of freedom is able to capture the asymmetry app...