Arbeitspapier

The Multivariate Split Normal Distribution and Asymmetric Principal Components Analysis

The multivariate split nomal distribution extends the usual multivariate normal distribution by a set of parameters which allows for skewness in the form of contraction/dilation along a subset of the prinicpal axis. The paper derives some properties for this distribution, including its moment generating function, multivariate skewness and kurtosis. Maximum likelihood estimation is discussed and a complete Bayesian analysis of the multivariate split normal distribution is developed.

Language
Englisch

Bibliographic citation
Series: Sveriges Riksbank Working Paper Series ; No. 175

Classification
Wirtschaft
Bayesian Analysis: General
Subject
Bayesian inference
Elicitation
Estimation
Maximum likelihood
Multivariate analysis
Skewness

Event
Geistige Schöpfung
(who)
Villani, Mattias
Larsson, Rolf
Event
Veröffentlichung
(who)
Sveriges Riksbank
(where)
Stockholm
(when)
2004

Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Villani, Mattias
  • Larsson, Rolf
  • Sveriges Riksbank

Time of origin

  • 2004

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