Results 231 to 240 of about 749,938 (278)

The Multivariate Normal Distribution

Technometrics, 1991
Contents: Introduction.- The Bivariate Normal Distribution.- Fundamental Properties and Sampling Distributions of the Multivariate Normal Distribution.- Other Related Properties.- Positively Dependent and Exchangeable Normal Variables.- Order Statistics of Normal Variables.- Related Inequalities.- Statistical Computing Related to the Multivariate ...
Alan Julian Izenman, Y. L. Tong
openaire   +2 more sources

Multivariate Normal Distribution

2015
IN THIS CHAPTER, we generalize the bivariate normal distribution from the previous chapter to an arbitrary number of dimensions. We also make use of the matrix notation. The mathematics is generally more dense and relies on the linear algebra notation covered in Chap. 4 In Sect. 4.5 we pointed out there is a limit on what computations we can reasonably
openaire   +1 more source

Multivariate $α$-normal distributions

2021
The Weibull distribution can be obtained using a power transformation from the standard exponential distribution. In this article, we will consider a symmetrized power transformation of a random variable with the standard normal distribution. We will call its distribution the $α$-{\it normal (Gaussian) distribution}.
openaire   +1 more source

Multivariate Normal Distributions

1992
In this lecture we consider a common example of a multivariate distribution. We begin with the non-degenerate case. Let ξ1..., ξ n be n random variables whose joint distribution is given by the density p(x 1,...,x n ), of the form % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn ...
openaire   +1 more source

The multivariate normal distribution

1980
The multivariate normal distribution was briefly introduced in Chapter 2. In this chapter we consider its properties in some detail since the estimation of its parameters is the source of many standard multivariate statistical methods. In addition, we shall meet a number of derived distributions of fundamental importance.
Christopher Chatfield, Alexander J. Collins   +1 more
openaire   +1 more source

Multivariate Normal Distribution

2022
openaire   +2 more sources

The Multivariate Normal Distribution

1997
Before introducing the multivariate normal distribution, let us briefly review some important results about the univariate normal.
openaire   +1 more source

Metabolomics in cancer research and emerging applications in clinical oncology

Ca-A Cancer Journal for Clinicians, 2021
Daniel R Schmidt, David G Kirsch, Caroline A Lewis   +2 more
exaly  

The multivariate normal distribution

1986
In this chapter we generalize the normal distribution to the multivariate case. The multivariate normal or Gaussian distribution is one of the most important multivariate distributions encountered in applied probability. One of the reasons is that this distribution is fundamental in the definition of a normal or Gaussian random process.
openaire   +2 more sources

Radiation therapy‐associated toxicity: Etiology, management, and prevention

Ca-A Cancer Journal for Clinicians, 2021
Kyle Wang
exaly