Moments of the likelihood-based discriminant function

Sammanfattning

The likelihood approach used in this paper leads to quadratic discriminant functions. Classification into one of two known multivariate normal populations with a known and unknown covariance matrix are separately considered, where the two cases depend on the sample size and an unknown squared Mahalanobis distance. Their exact distributions are complicated to obtain. Therefore, moments for the likelihood based discriminant functions are established to express the basic characteristics of respective distribution.

Nyckelord

classification; discriminant function; maximum likelihood; moments

Publicerad i

Communications in Statistics - Theory and Methods
2024, volym: 53, nummer: 3, sidor: 1122-1134
Utgivare: TAYLOR AND FRANCIS INC

SLU författare

• von Rosen, Dietrich

  • Institutionen för energi och teknik, Sveriges lantbruksuniversitet
    
  • Linköpings universitet

UKÄ forskningsämne

Sannolikhetsteori och statistik

Publikationens identifierare

• DOI: https://doi.org/10.1080/03610926.2022.2100909

Permanent länk till denna sida (URI)

https://res.slu.se/id/publ/118618