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31 sty 2024 · In this article, we have characterized the continuous uniform distribution by the characteristic function and observed that these characterizations may serve as a basis for possible...
15 cze 2011 · In this paper a new variant of the Choquet–Deny theorem is obtained and used to prove a characterization of the uniform distribution based on spacings of generalized order statistics. This result extends two recent characterizations of the uniform distribution.
28 maj 2021 · Metrics. Abstract. What we learn about the world is affected by the input we receive. Many extant category learning studies use uniform distributions as input in which each exemplar in a...
1 sty 1993 · Abstract. Let X be a random variable defined on the interval [a,b] with continuous distribution function F. If E (X|X>c)= (b+c)/2 for a<c<b, then X has a uniform distribution on [a,b].
Benford's law states that the leading digits of many data sets are not uniformly distributed from one through nine, but rather exhibit a profound bias. This bias is evident in everything from...
29 wrz 2014 · The continuous uniform distribution in the range (0, 1) has connections with the probability integral transformation, and with the exponential, logistic, and beta distributions. Some characterizations of functions of two independent random variables are given.
A characterization is a certain distributional or statistical property of a statistic or statistics that uniquely determines the associated stochastic model. This chapter provides a brief survey of the huge literature on this topic.