We introduce the censored bimodal skew-normal-flexible distribution which can be very useful in dealing with censored data together with bimodality and high (or low) levels of skewness and kurtosis. A simple expression for its moments is derived. The frequentist approach is considered to draw inference, and the traditional maximum likelihood method is employed to estimate the unknown parameters. We also derive the observed information matrix. An application of the new model to the plasma HIV-1 RNA measurement is presented for illustrative purposes.
Digital Object Identifier (DOI)
́n Moreno-Arenas, Germa; Mart ́ınez-Flo ́rez, Guillermo; and J. Lemonte, Artur
"The Censored Bimodal Skew-Normal-Flexible Model with an Application to Plasma HIV-1 RNA,"
Applied Mathematics & Information Sciences: Vol. 14
, Article 24.
Available at: https://dc.naturalspublishing.com/amis/vol14/iss3/24