Search results
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...
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.
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.
It is shown that for independent and identically distributed random variables X and Y constancy of the conditional expectations of X+Y −I(X+Y > 1) and its square given X identifies uniform distribution either absolutely continuous or discrete.
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.
Uniform Distribution: Definitions and Properties. L. Deng. Published 29 September 2014. Mathematics. A discrete uniform distribution has constant probability for each integer within a stated range. A continuous uniform distribution has constant probability density within a stated range.
