There has been some confusion concerning the animal group size: an exponential distribution was deduced by maximizing the entropy; lognormal distributions were practically used; as power-law decay with exponent 3/2 was proposed in physical analogy to aerosol condensation. Here I show that the animal group-size distribution follows a power-law decay with exponent 1, and is truncated at a cut-off...

We introduce the notion of a Smarandache hyper (∩,∈)-ideal and Ω-reflexive in hyper K-algebra, and some related properties are given. Mathematics Subject Classification: 06F35, 03G25

In this article, a new distribution having three called Modified Generalized Exponential Distribution is proposed. Important statistical properties of the proposed model like survival function, hazard rate probability density function (PDF), cumulative (CDF), quantile skewness, and kurtosis are discussed here. Least Square Estimation (LSE), Cramer- Von Mises (CVM) Maximum Likelihood estimators ...

We investigate the degree distribution P (k) and the clustering coefficient C of the line graphs constructed on the Erdös-Rényi networks, the exponential and the scale-free growing networks. We show that the character of the degree distribution in these graphs remains Poissonian, exponential and power law, respectively, i.e. the same as in the original networks. When the mean degree < k > incre...