A skewed multinomial probit model with alternative-specific skewness parameters, an identified covariance reparameterization, and a Bayesian MCMC sampler improves prediction when choice responses are asymmetric and matches the standard model when they are symmetric.
Since ๐ฟ22 is a lower-triangular matrix with real and positive diagonal entries, we have ๐ฟ22๐ฟโค 22 = ๐ is a positive-definite matrix
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A Multinomial Probit Model for Asymmetric Choice Responses
A skewed multinomial probit model with alternative-specific skewness parameters, an identified covariance reparameterization, and a Bayesian MCMC sampler improves prediction when choice responses are asymmetric and matches the standard model when they are symmetric.