On a probability inequality for multivariate normal distribution
نویسندگان
چکیده
منابع مشابه
On the Concavity of Multivariate Probability Distribution Functions on the Concavity of Multivariate Probability Distribution Functions
We prove that the multivariate standard normal probability distribution function is concave for large argument values. The method of proof allows for the derivation of similar statements for other types of multivariate probability distribution functions too. The result has important application, e.g., in probabilistic constrained stochastic programming problems.
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BACKGROUND While several algorithms for the comparison of univariate distributions arising from flow cytometric analyses have been developed and studied for many years, algorithms for comparing multivariate distributions remain elusive. Such algorithms could be useful for comparing differences between samples based on several independent measurements, rather than differences based on any single...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1976
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1976.103618