We focus on the calculation of the Fisher information contained in a random sample with type II censored data from a Dagum distribution. Unlike the decomposition methods already known in the literature, we provide a direct calculation of the information matrix using one reparametrization of the density of the Dagum variable. The inverse of this matrix can be used to determine analytically the asymptotic variance-covariance matrix of the maximum likelihood estimates of the unknown parameters.
Domma, F., Giordano, S., Zenga, M. (2013). The Fisher Information Matrix on a Type II Doubly Censored Sample from a Dagum Distribution. APPLIED MATHEMATICAL SCIENCES, 7(75), 3715-3729 [10.12988/ams.2013.33157].
The Fisher Information Matrix on a Type II Doubly Censored Sample from a Dagum Distribution
ZENGA, MARIANGELA
2013
Abstract
We focus on the calculation of the Fisher information contained in a random sample with type II censored data from a Dagum distribution. Unlike the decomposition methods already known in the literature, we provide a direct calculation of the information matrix using one reparametrization of the density of the Dagum variable. The inverse of this matrix can be used to determine analytically the asymptotic variance-covariance matrix of the maximum likelihood estimates of the unknown parameters.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.