Topic
K-distribution
About: K-distribution is a research topic. Over the lifetime, 1281 publications have been published within this topic receiving 51774 citations.
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01 Jan 1978
TL;DR: In this article, a unified and an extended structure of the above classes of distributions as well as their many applications are given. And the behaviour of these families is investigated under most commonly occurring functional operations such as closure under convolution, a passage to a limit in the weak sense, reversal and mixing properties.
Abstract: The objective of this paper is to give a unified and an extended structure of the above classes of distributions as well as their many applications. The behaviour of these families is investigated under most commonly occurring functional operations such as closure under convolution, a passage to a limit in the weak sense, reversal and mixing properties. The useful and smooth properties of unimodality, strong unimodality and their variants are found to hold for some subclasses of these applicable probability distributions.
1 citations
TL;DR: The discussion of a Bayesian revision in estimated probability of thromboembolic events in the Clinical Decision Making Rounds confused me due to imprecise use of terminology.
Abstract: To the Editor:-The discussion of a Bayesian revision in estimated probability of thromboembolic events in the Clinical Decision Making Rounds &dquo;Double Trouble&dquo;2 confused me due to imprecise use of terminology. Under the assumptions outlined, the occurrence of these events is a Poisson process. Accordingly, the number of events that will occur within a specified time frame is given by a Poisson distribution, which is a discrete probability density, specified by a single parameter, taking non-zero values for non-negative integers only. In particular, if lambda is the annual rate
1 citations
1 citations
Posted Content•
TL;DR: In this paper, a geometric formulation of fiducial probability was proposed based on the geometric properties of an ordinary two-variable function and its surface representation, which is an improvement over the usual pivotal quantity formulation.
Abstract: The geometric formulation of fiducial probability employed in this paper is an improvement over the usual pivotal quantity formulation. For a single parameter and single observation, the new formulation is based on the geometric properties of an ordinary two variable function and its surface representation.
The following theorem is proved: A fiducial distribution for the continuous parameter $\theta$ exists if and only if (i) the continuous random probability distributions of $x$ for different $\theta$'s are non-intersecting, and (ii) the random distributions are complete, i.e. at the extreme values of $\theta$ the limiting probability distributions are zero and one for all $x$.
The proof yields also a complete characterization of random distributions that lead to fiducial distributions.
The paper also treats intersecting distributions and non-intersecting incomplete distributions. The latter, which are frequently encountered in a null hypothesis, are shown to be associated with intersecting "composite" distributions.
An appendix compares the pivotal and geometric formulations.
1 citations
22 Mar 1996
TL;DR: In this article, the authors investigate the extent to which Gaussian speckle models can be used to represent genuine polarimetric SAR clutter, and the validity of the Gaussian model as a description of the clutter statistics of a particular extended region is discussed.
Abstract: A prerequisite for the design of any target detection scheme is an understanding of the clutter environment against which targets are to be detected. For polarimetric synthetic aperture radar (SAR) imagery, statistical models for homogeneous clutter based on both multi-variate Gaussian distributions and multi-variate K distributions have been extensively investigated. The first aim of this paper is to investigate the extent to which such models can be used to represent genuine polarimetric SAR clutter. To this end, the models have been tested on imagery obtained using a C-band airborne polarimetric SAR system, which is described. The validity of the Gaussian model as a description of the clutter statistics of a particular extended region is discussed. However, not all clutter regions can be represented by the simple Gaussian speckle model as is demonstrated in the case where the validity of using low order K distributions to describe woodland clutter is assessed. A point of particular interest is whether, when a low order K distribution description is most appropriate, the order parameters are significantly different between polarimetric channels. Suitable statistical tests have been used to address this question as described. The second aim is to investigate the spatial statistics of polarimetric SAR imagery using data provided by the C-band system. The measurement of correlation shapes and lengths and their use to determine whether there is significant variation in correlation properties is also discussed. (9 pages)
1 citations