In this paper we investigate the odd binomial state, which interpolates bet
ween odd number;Ind odd coherent states. We discuss the statistical propert
ies of the Glauber second-order correlation function and squeezing phenomen
a (normal squeezing and amplitude-squared squeezing). The phase properties
in Pegg-Barnett formalism are considered, and the quasiprobability distribu
tion functions are examined. The dynamics of the Jaynes-Cummings model and
the resonance fluorescence are also discussed.