Another generalization of the logarithmic series and the geometric distributions |
| |
| Authors: | C. Trioathi Ram C. Gupta Ramesh |
| |
| Affiliation: | 1. Division of Mathematics, Computer Science and Systems Design , University of Texas at San Antonio , San Antonio, TX, 78285;2. Department of Mathematics , University of Maine , Orono, ME, 04469 |
| |
| Abstract: | A new generalization of the logarithmic series distribution is presented based on a generalized negative binomial distribution obtained from a generalized Poisson distribution compounded with the truncated gamma distribution. By length biasing this generalized log-series distribution, another generalized geometric distribution is uresented. For the generalized log-series distribution, maximum likelihood estimators are developed and an example is presented for illustration. |
| |
| Keywords: | Generalized log-series generalized Poisson generalized geometric length-biased maximum likelihood estimation |
|
|
