Abstract: The linear exponential distribution is a very well-known distribution for modeling lifetime data in reliability and medical studies. We introduce in this paper a new four-parameter generalized version of the linear exponential distribution which is called Kumaraswamy linear exponential distribution. We provide a comprehensive account of the mathematical properties of the new distribut...

ABSTRACT: This paper begins by using the Haar wavelet to analyze the cumulative distribution function of a stream of two-valued Bernoulli trials. We find that this function maps binary numbers in [0,1] into non-uniform binary numbers in [0,1]. More generally, for r-valued Bernoulli trials, the distribution function likewise maps usual base-r numbers into non-uniform base-r numbers. We also find...

the square map is one of the functions used in cryptography. for instance, the square map is used in rabin encryption scheme, block cipher rc6 and stream cipher rabbit, in different forms. in this paper, we study statistical properties of the output of the square map as a vectorial boolean function. we obtain the joint probability distribution of arbitrary number of the upper and the lower bits...

Image Compression using Artificial Neural Networks is a topic where research is being carried out in various directions towards achieving a generalized and economical network. Feedforward Networks using Back propagation Algorithm adopting the method of steepest descent for error minimization is popular and widely adopted and is directly applied to image compression. Various research works are d...

Feature selection is an important issue in the research areas of machine learning and data mining. It reduces the dimensionality of data and enhances the performance of data analysis and interpretability, such as clustering or classification algorithms. This paper proposes a feature selection method based on support vector machines and distance-based cumulative distribution functions. This meth...

In human language technology, it is becoming more and more common to run systematic evaluations in which two or more systems, or two or more versions of the same system, are pitted one against the other. We propose the binomial cumulative distribution function as a way to assess the cumulative effect of the measures collected in such evaluations. We present an application of this measure to the...

Abstract –In our empirical works, we find that there exists the equivalency of the cumulative degree distribution and edge-cumulative distribution. Furthermore, we employ three network models of the recursive graphs, Sierpinksi networks and Apollonian networks to verify our conjecture: Both the cumulative degree distribution and the edge-cumulative distribution are equivalent to each other in d...