Error analysis on the quasi-negative binomial distribution

The quasi-negative binomial distribution, characterized by three parameters, has been used to fit data arising from many fields of study. The distribution gets truncated under certain conditions. We investigate the truncation error by carrying out a detailed error analysis. Through this analysis, we determine the parameter space when the model can be used instead of using a truncated quasi-negative binomial distribution. We define a truncated quasinegative binomial distribution that can be used when the quasi-negative binomial distribution gets truncated on the right hand side. A numerical example is used for illustration.