Topic
K-distribution
About: K-distribution is a research topic. Over the lifetime, 1281 publications have been published within this topic receiving 51774 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, a parametric distribution on permutations of k objects is derived from gamma random variables, where the probability of a permutation is set equal to the probability that k independent Gamma random variables with common shape parameter and different scale parameters are ranked according to that permutation.
Abstract: A parametric distribution on permutations of k objects is derived from gamma random variables. The probability of a permutation is set equal to the probability that k independent gamma random variables with common shape parameter and different scale parameters are ranked according to that permutation. This distribution is motivated by considering a competition in which k players, scoring points according to independent Poisson processes, are ranked according to the time until r points are scored. The distributions obtained in this way include the popular Luce-Plackett and Thurstone-Mosteller-Daniels ranking models. These gamma-based distributions can serve as alternatives to the null ranking model in which all permutations are equally likely. Here, the gamma models are used to estimate the probability distribution of the order of finish in a horse race when only the probability of finishing first is given for each horse. Gamma models with shape parameters larger than 1 are found to be superior to...
96 citations
TL;DR: In this article, the Gaussian theory is reviewed and nonlinear short-term probability distributions are derived from a narrow band second-order model, which has different impact on different measurement techniques, and this is further demonstrated for wave data from WAVEMOD Crete measurement campaign and laser data from the North Sea.
95 citations
TL;DR: In this article, the probability distributions of difference propagation probabilities and input-output correlations for functions and block ciphers of given dimensions were studied for several of them for the first time.
Abstract: We study the probability distributions of difference propagation probabilities and input- output correlations for functions and block ciphers of given dimensions, for several of them for the first time. We show that these parameters have distributions that are well-studied in the field of probability such as the normal, Poisson and extreme value distributions. The results of this paper can be used to estimate how much effort will be required to generate functions satisfying certain criteria. The distributions we derive for block ciphers illustrate the significant difference between fixed-key parameters and averaged parameters.
95 citations
01 Jul 2006
TL;DR: In this article, the spatial distribution of X-band, high-resolution and high grazing angle polarimetric sea clutter data is studied and the KK and WW distribution models are proposed to fit the distribution of sea clutter with spikes.
Abstract: : This report studies the spatial distribution of X-band, high resolution and high grazing angle polarimetric sea clutter data. The K distribution usually provides a good fit for the distribution of the VV polarised data. The HH polarised data is spikiest and its distribution exhibits a sudden departure from the K distribution in the tail region, which usually requires the KA or the similar distributions to achieve a better fit in the tail region. Due to drawbacks of the KA distribution, this report proposes the KK and WW distribution models to fit the distribution of sea clutter with spikes. It is found that the KK distribution provides overall the best fit. Distributions of the sum of K and Weibull distributed samples are also presented.
94 citations
TL;DR: This paper introduces the generalized exponential-power series (GEPS) class of distributions, which is obtained by compounding generalized exponential and power series distributions and obtains several properties of the GEPS distributions such as moments, maximum likelihood estimation procedure via an EM-algorithm and inference for a large sample.
94 citations