With some parameter choices, the conditional distribution plot for Negative Binomial (X) is completely gone. Other times, the graph is partially missing. (E.g. when $\beta_1 = 1.17$ and $\sigma = 1.1$, if $\beta_0 > 0.55$, there is no graph and if $0.55 > \beta > 0.16$, there is part of the graph missing.)
With some parameter choices, the conditional distribution plot for Negative Binomial (X) is completely gone. Other times, the graph is partially missing. (E.g. when $\beta_1 = 1.17$ and $\sigma = 1.1$, if $\beta_0 > 0.55$, there is no graph and if $0.55 > \beta > 0.16$, there is part of the graph missing.)